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	<title>uta &amp;laquo; WordPress.com Tag Feed</title>
	<link>http://en.wordpress.com/tag/uta/</link>
	<description>Feed of posts on WordPress.com tagged "uta"</description>
	<pubDate>Sat, 28 Nov 2009 06:08:33 +0000</pubDate>

	<generator>http://en.wordpress.com/tags/</generator>
	<language>en</language>

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<title><![CDATA[3356 - Electronic Design - Covers]]></title>
<link>http://svetkin.wordpress.com/2009/11/26/3356-electronic-design-covers/</link>
<pubDate>Thu, 26 Nov 2009 06:05:22 +0000</pubDate>
<dc:creator>svetkin</dc:creator>
<guid>http://svetkin.wordpress.com/2009/11/26/3356-electronic-design-covers/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:center;"><img class="size-full wp-image-147 aligncenter" title="Generation C" src="http://svetkin.wordpress.com/files/2009/11/img_0043.jpg" alt="" width="650" height="676" /></p>

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<title><![CDATA[Entrevista a Gastón Reyes (Delegado Subte línea A)]]></title>
<link>http://sopadenoticias.wordpress.com/2009/11/25/entrevista-a-gaston-reyes-delegado-subte-linea-a/</link>
<pubDate>Wed, 25 Nov 2009 22:13:27 +0000</pubDate>
<dc:creator>Mauro Clementin</dc:creator>
<guid>http://sopadenoticias.wordpress.com/2009/11/25/entrevista-a-gaston-reyes-delegado-subte-linea-a/</guid>
<description><![CDATA[El delegado de la línea A Gastón Reyes no se guarda nada. Se lo nota indignado y cansado, con ganas ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href="http://sopadenoticias.wordpress.com/files/2009/11/subteb.jpg"><img class="aligncenter size-full wp-image-1442" title="Subte" src="http://sopadenoticias.wordpress.com/files/2009/11/subteb.jpg" alt="" width="497" height="333" /></a><a href="http://sopadenoticias.wordpress.com/files/2009/11/subte-gente.jpg"><img class="aligncenter size-full wp-image-1435" title="Subte aglomeración" src="http://sopadenoticias.wordpress.com/files/2009/11/subte-gente.jpg" alt="" width="1" height="1" /></a></p>
<p>El delegado de la línea A Gastón Reyes no se guarda nada. Se lo nota indignado y cansado, con ganas de terminar este conflicto de una buena vez por todas. Su claridad en las palabras explica muy bien el asunto.</p>
<p><strong>- ¿Por qué se quieren independizar de la UTA?</strong></p>
<p>- Básicamente porque tuvimos siempre grandes diferencias llevar adelante las cosas. Nosotros siempre nos caracterizamos por hacer asambleas y tomar las decisiones en conjunto con todos los compañeros. Ellos, el consejo directivo del sindicato, es el que decide las cosas por hacer y vos tenés que avalar y hacer lo que te digan estés de acuerdo o no. Además, en varias oportunidades se han firmado acuerdos sin consultar a los trabajadores y que sólo le servía a la empresa.</p>
<p><strong>- ¿Es por eso que firmaron el plebiscito en febrero del año pasado?</strong></p>
<p>- El 7 de diciembre del 2007 estábamos haciendo una conferencia en el hotel Bauen y fue una patota de la UTA a reprimir. Los malones irrumpieron en la conferencia con violencia. Entonces, esa misma noche hicimos otra en la estación Primera Junta y cayó otra patota en donde varios compañeros terminaron hospitalizados.</p>
<p>En febrero del año siguiente cuando firmamos el plebiscito, en donde se votó y aprobó la consolidación de un nuevo sindicato -la Agrupación gremial de trabajadores de subte y premetro (AGTSyP)-, la UTA mandó a otros hombres a violentar sin razón alguna. Le rompieron el brazo a uno y la cabeza a otro. Uno puede discernir con las políticas, pero cuando todo se traduce en violencia es algo que no se puede tolerar.</p>
<p><strong>-¿Cómo evaluás el desempeño del ministro de Trabajo Carlos Tomada al frente de las negociaciones?</strong></p>
<p>- Es bastante lamentable porque él tiene la obligación como ministro de inscribir nuestra organización gremial en un registro especial. Nosotros hemos iniciado los trámites en agosto del 2008. El gremio cumplió con todos los papeles y presentó todo lo que tenía que hacer según la ley de asociaciones sindicales que es la 23.551 en la cuál el Ministerio de Trabajo tiene un plazo de 90 días para estudiar todo lo presentado y expedirlo. Hasta ahora no hicieron nada, ya hay tres fallos judiciales que están intimando a que se expida, ya que los plazos vencieron hace rato.</p>
<p><strong>- Entonces, ¿Cuál sería la solución al conflicto?</strong></p>
<p>- Que el señor Carlos Tomada termine el trámite de inscripción, ponga su firma en el expediente y nos dé el número de personalidad jurídica. Así nos podemos organizar libremente como lo dice la Constitución Nacional, como lo dice la ley de las asociaciones sindicales, como lo dicen los tratados internacionales que fueron anexados con la reforma constitucional en 1994.</p>
<p>Y al no actuar nos obliga a tomar la decisión más dura que es la suspensión del servicio. Hicimos todo lo posible antes de parar, pero no nos escucharon y todo se dilató.</p>
<p><!--more--></p>
<p><strong>- ¿Qué te imaginás si el nuevo sindicato obtiene separase de la UTA definitivamente?</strong></p>
<p>- Yo tengo la seguridad que, sea más tarde o más temprano, nos van a tener que dar porque las leyes están de nuestro lado y nosotros queremos que se cumpla la ley, ya sea por vía judicial o por cualquier otra. En el subte va a significar un golpe muy fuerte para el sindicato de los colectiveros que van a perder personal gremial. El sindicato no es una personería gremial, es un colectivo de personas organizadas realizando diferentes tipos de tareas para defender los derechos de los trabajadores. Cuando tengamos el sindicato llegará la tranquilidad, ya que al tener el sindicato se enmarcará de forma jurídica todo lo que los trabajadores tenemos que hacer.</p>
<p><strong>- Para finalizar, ¿Tienen previsto algún paro para la semana que viene?</strong></p>
<p>- Nosotros ahora el 25 de noviembre tenemos una nueva cita en el Ministerio de Trabajo en donde esperamos que Tomada resuelva el tema de la inscripción y revoque el tema del impuesto compulsivo –en el último acuerdo salarial el gremio de los colectiveros nos impuso compulsivamente el descuento del uno por ciento de nuestro sueldo estemos o no afiliados a dicho sindicato-.</p>
<p>Además, hay un fallo judicial en el cual tiene como fecha límite el 2 de diciembre para que el ministerio se expida. De no ser así lamentablemente vamos a tener que hacer una denuncia penal por incumplimiento de los deberes de funcionario público porque no están acatando la ley, no están cumpliendo con su obligación.</p>
<p><a href="http://sopadenoticias.wordpress.com/files/2009/11/subte_d.jpg"><img class="aligncenter size-full wp-image-1445" title="Gente en el subte" src="http://sopadenoticias.wordpress.com/files/2009/11/subte_d.jpg" alt="" width="455" height="341" /></a></p>
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<title><![CDATA[UTA 1-0 CS Otopeni]]></title>
<link>http://valentintodea.wordpress.com/2009/11/23/uta-1-0-cs-otopeni/</link>
<pubDate>Mon, 23 Nov 2009 15:21:29 +0000</pubDate>
<dc:creator>valy22okz</dc:creator>
<guid>http://valentintodea.wordpress.com/2009/11/23/uta-1-0-cs-otopeni/</guid>
<description><![CDATA[Victorie importanta UTA a obtinut sambata o victorie in compania formatiei CS Otopeni.Desi au fost m]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><strong>Victorie importanta</strong><br />
UTA a obtinut sambata o victorie in compania formatiei CS Otopeni.Desi au fost multe probleme in jocul UTA-ei, Paul Batin a salvat din nou echipa si a marcat in minutul 7.In repriza a doua, echipa din Otopeni a fost mai activa in joc si a creat mai mult ocazii la poarta lui Balgradean, care insa si-a facut foarte bine treaba.Ionut Popa, antrenorul aradenilor, si-a cerut scuze dupa meci pentru jocul elevilor sai.Pentru UTA urmeaza doua meciuri din care poate scoate 6 puncte, cu Minerul Lupeni si apoi in ultima etapa acasa, cu Gaz Metan CFR Craiova.Ionut Popa ramane modest si spune ca nu se gandeste la promovare, dar utistii pot deveni lideri ai clasamentului la sfarsitului turului, depinzand si de rezultatele celorlalte echipe.Nu uitati sa votati UTA in concursul organizate GSP la urmatorul link <a href="http://cupadelegenda.gsp.ro/rezultate/">Cupa de Legenda</a>.Voi posta si cateva materiale de la meciul de sambata.Pozele sunt facute cu telefonul meu.</p>
<p>                                                Video <a href="http://uta1945.ro">UTA1945</a><br />
<span style='text-align:center; display: block;'><object width='425' height='350'><param name='movie' value='http://www.youtube.com/v/drDxQk0RlKE&#038;rel=0&#038;fs=1&#038;showsearch=0&#038;hd=0' /><param name='allowfullscreen' value='true' /><param name='wmode' value='transparent' /><embed src='http://www.youtube.com/v/drDxQk0RlKE&#038;rel=0&#038;fs=1&#038;showsearch=0&#038;hd=0' type='application/x-shockwave-flash' allowfullscreen='true' width='425' height='350' wmode='transparent'></embed></object></span></p>
<p><a href="http://valentintodea.wordpress.com/files/2009/11/imagine021.jpg"><img src="http://valentintodea.wordpress.com/files/2009/11/imagine021.jpg?w=150" alt="" title="UTA1" width="150" height="112" class="alignnone size-thumbnail wp-image-104" /></a>  <a href="http://valentintodea.wordpress.com/files/2009/11/imagine0282.jpg"><img src="http://valentintodea.wordpress.com/files/2009/11/imagine0282.jpg?w=150" alt="" title="UTA2" width="150" height="112" class="alignnone size-thumbnail wp-image-115" /></a>  <a href="http://valentintodea.wordpress.com/files/2009/11/imagine0311.jpg"><img src="http://valentintodea.wordpress.com/files/2009/11/imagine0311.jpg?w=150" alt="" title="UTA3" width="150" height="112" class="alignnone size-thumbnail wp-image-119" /></a> </p>
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<title><![CDATA[Northern Europe's Most Hard Working and Promising Creators are Looking for Representation]]></title>
<link>http://lunkiandsika.wordpress.com/2009/11/19/northern-europes-most-hard-working-and-promising-creators-are-looking-for-representation/</link>
<pubDate>Thu, 19 Nov 2009 20:07:45 +0000</pubDate>
<dc:creator>Sika</dc:creator>
<guid>http://lunkiandsika.wordpress.com/2009/11/19/northern-europes-most-hard-working-and-promising-creators-are-looking-for-representation/</guid>
<description><![CDATA[Since we are planning to make it big internationally we are hoping to get representation in differen]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:left;"><a href="http://lunkiandsika.wordpress.com/files/2009/09/sika-profil-041.gif"><img class="alignleft size-full wp-image-1849" title="sika-profil-04" src="http://lunkiandsika.wordpress.com/files/2009/09/sika-profil-041.gif" alt="" width="150" height="175" /></a>Since we are planning to make it big internationally we are hoping to get representation in different countries, starting with the United States. According to wikipedia there are about four or five big players in the line of talent agencies in the States.</p>
<p style="text-align:right;"><strong>Creative      Artists Agency</strong> (CAA)<br />
<strong>International      Creative Management</strong> (ICM)<br />
<strong>United      Talent Agency</strong> (UTA)<br />
<strong>William      Morris Endeavor Entertainment</strong> (WME Entertainment)<strong><br />
</strong></p>
<p style="text-align:left;">The question is; how do we get their attention? Do I have to send out my &#8220;Burt Reynolds&#8221;-picture again, or is there anybody out there who knows an agent who would be perfect for us?</p>
<p style="text-align:left;"><a href="http://lunkiandsika.wordpress.com/files/2009/09/sika-reynolds-600.gif"><img class="alignleft size-full wp-image-1932" title="sika-reynolds-600" src="http://lunkiandsika.wordpress.com/files/2009/09/sika-reynolds-600.gif" alt="" width="600" height="364" /></a></p>
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<title><![CDATA[SCIE 4101 Math Review Packet #6]]></title>
<link>http://mathblog.wordpress.com/2009/11/19/scie-4101-math-review-packet-6/</link>
<pubDate>Thu, 19 Nov 2009 06:23:25 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/11/19/scie-4101-math-review-packet-6/</guid>
<description><![CDATA[Here is the next packet. Answers There are 36 possible characters, so (a) possibilites with repeatin]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href='http://mathblog.wordpress.com/files/2009/11/review-packet-6.doc'>Here</a> is the next packet.</p>
<p>Answers</p>
<ol>
<li>There are 36 possible characters, so (a) <img src='http://l.wordpress.com/latex.php?latex=36%5E8%3D2.82%5Ctimes+10%5E%7B12%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='36^8=2.82\times 10^{12}' title='36^8=2.82\times 10^{12}' class='latex' /> possibilites with repeating characters, and (b) <img src='http://l.wordpress.com/latex.php?latex=P%28n%2Cr%29%3D%5Cfrac%7B36%21%7D%7B%2836-8%29%21%7D%3D%5Cfrac%7B36%21%7D%7B28%21%7D%3D1.22%5Ctimes+10%5E%7B12%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(n,r)=\frac{36!}{(36-8)!}=\frac{36!}{28!}=1.22\times 10^{12}' title='P(n,r)=\frac{36!}{(36-8)!}=\frac{36!}{28!}=1.22\times 10^{12}' class='latex' /> possibilities.  Note: <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B36%21%7D%7B28%21%7D%3D%5Cfrac%7B1%5Ccdot+2%5Ccdot+3%5Ccdot+...%5Ccdot+28%5Ccdot+29%5Ccdot+...%5Ccdot+36%7D%7B1%5Ccdot+2%5Ccdot+3%5Ccdot+...%5Ccdot+28%7D%3D29%5Ccdot+30%5Ccdot+...%5Ccdot+36&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{36!}{28!}=\frac{1\cdot 2\cdot 3\cdot ...\cdot 28\cdot 29\cdot ...\cdot 36}{1\cdot 2\cdot 3\cdot ...\cdot 28}=29\cdot 30\cdot ...\cdot 36' title='\frac{36!}{28!}=\frac{1\cdot 2\cdot 3\cdot ...\cdot 28\cdot 29\cdot ...\cdot 36}{1\cdot 2\cdot 3\cdot ...\cdot 28}=29\cdot 30\cdot ...\cdot 36' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=C%28n%2Cr%29%3D%5Cfrac%7B12%21%7D%7B3%21%2812-3%29%21%7D%3D%5Cfrac%7B12%21%7D%7B3%21%289%21%29%7D%3D%5Cfrac%7B10%5Ccdot+11%5Ccdot+12%7D%7B1%5Ccdot+2%5Ccdot+3%7D%3D220&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='C(n,r)=\frac{12!}{3!(12-3)!}=\frac{12!}{3!(9!)}=\frac{10\cdot 11\cdot 12}{1\cdot 2\cdot 3}=220' title='C(n,r)=\frac{12!}{3!(12-3)!}=\frac{12!}{3!(9!)}=\frac{10\cdot 11\cdot 12}{1\cdot 2\cdot 3}=220' class='latex' /></li>
<li>There are four aces and 16 possible 10-point cards in a deck.  Therefore, the probability of drawing an ace followed by a 10-point card is <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%7D%7B52%7D%5Ccdot+%5Cfrac%7B16%7D%7B51%7D%3D%5Cfrac%7B16%7D%7B663%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{4}{52}\cdot \frac{16}{51}=\frac{16}{663}' title='\frac{4}{52}\cdot \frac{16}{51}=\frac{16}{663}' class='latex' />.  The probability of drawing the 10-point card first and then the ace is <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B16%7D%7B52%7D%5Ccdot+%5Cfrac%7B16%7D%7B51%7D%3D%5Cfrac%7B16%7D%7B663%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{16}{52}\cdot \frac{16}{51}=\frac{16}{663}' title='\frac{16}{52}\cdot \frac{16}{51}=\frac{16}{663}' class='latex' />, so the probability is the same.</li>
<li>Since each penny flip is an independent event, the probabilities are also independent.  No matter how many heads come up in a row, the probability that the next flip will come up heads is still <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{2}' title='\frac{1}{2}' class='latex' />.</li>
<p>To find an inverse of a function (assuming that an inverse can be found), the way that is usually taught is to swap the <i>x</i> and <i>y</i> variables and solve for <i>y</i>.  A better way, especially if the equation is already in function notation, is to remember that <img src='http://l.wordpress.com/latex.php?latex=f%28f%5E%7B-1%7D%28x%29%29%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(f^{-1}(x))=x' title='f(f^{-1}(x))=x' class='latex' />, and solve for <img src='http://l.wordpress.com/latex.php?latex=f%5E%7B-1%7D%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f^{-1}(x)' title='f^{-1}(x)' class='latex' />.</p>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=f%28f%5E%7B-1%7D%28x%29%29%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(f^{-1}(x))=x' title='f(f^{-1}(x))=x' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=2f%5E%7B-1%7D%28x%29-3%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2f^{-1}(x)-3=x' title='2f^{-1}(x)-3=x' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=2f%5E%7B-1%7D%28x%29%3Dx%2B3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2f^{-1}(x)=x+3' title='2f^{-1}(x)=x+3' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7Bx%2B3%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f^{-1}(x)=\frac{x+3}{2}' title='f^{-1}(x)=\frac{x+3}{2}' class='latex' /></td>
</tr>
</table>
</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=g%28g%5E%7B-1%7D%28x%29%29%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(g^{-1}(x))=x' title='g(g^{-1}(x))=x' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%28g%5E%7B-1%7D%28x%29%29%5E2+-16%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(g^{-1}(x))^2 -16=x' title='(g^{-1}(x))^2 -16=x' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%26%23124%3Bg%5E%7B-1%7D%28x%29%26%23124%3B+%3D+%5Csqrt%7Bx%2B16%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='&#124;g^{-1}(x)&#124; = \sqrt{x+16}' title='&#124;g^{-1}(x)&#124; = \sqrt{x+16}' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=g%5E%7B-1%7D%28x%29%3D%5Cpm%5Csqrt%7Bx%2B16%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g^{-1}(x)=\pm\sqrt{x+16}' title='g^{-1}(x)=\pm\sqrt{x+16}' class='latex' /></td>
</tr>
</table>
</li>
<li><img src='http://l.wordpress.com/latex.php?latex=f%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x)' title='f(x)' class='latex' />: Domain: all real numbers <img src='http://l.wordpress.com/latex.php?latex=%5Cgeq%5Cfrac%7B4%7D%7B3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\geq\frac{4}{3}' title='\geq\frac{4}{3}' class='latex' />; Range: all real numbers.  <img src='http://l.wordpress.com/latex.php?latex=f%5E%7B-1%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f^{-1}' title='f^{-1}' class='latex' />: Domain: all real numbers; Range: all real numbers <img src='http://l.wordpress.com/latex.php?latex=%5Cgeq%5Cfrac%7B4%7D%7B3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\geq\frac{4}{3}' title='\geq\frac{4}{3}' class='latex' /></li>
<li>a. <img src='http://l.wordpress.com/latex.php?latex=P%284%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(4)' title='P(4)' class='latex' /> represents the bird population in 2007 (2003+4).<br />b. <img src='http://l.wordpress.com/latex.php?latex=P%5E%7B-1%7D%284%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P^{-1}(4)' title='P^{-1}(4)' class='latex' /> represents the number of years since 2003 when the bird population hits 4000 birds.</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=T%3D%5Cfrac%7B1%7D%7B4%7DR%2B40&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='T=\frac{1}{4}R+40' title='T=\frac{1}{4}R+40' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B4%7DR%3DT-40&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{4}R=T-40' title='\frac{1}{4}R=T-40' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=R%3D4T-160%3Df%5E%7B-1%7D%28T%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='R=4T-160=f^{-1}(T)' title='R=4T-160=f^{-1}(T)' class='latex' /></td>
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</table>
</li>
<li><img src='http://l.wordpress.com/latex.php?latex=f%5Ccirc+g%28x%29%3Df%28g%28x%29%29%3Df%28x%5E2%29%3D4x%5E2%2B1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f\circ g(x)=f(g(x))=f(x^2)=4x^2+1' title='f\circ g(x)=f(g(x))=f(x^2)=4x^2+1' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=g%5Ccirc+f%28x%29%3Dg%28f%28x%29%29%3Dg%284x%2B1%29%3D%284x%2B1%29%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g\circ f(x)=g(f(x))=g(4x+1)=(4x+1)^2' title='g\circ f(x)=g(f(x))=g(4x+1)=(4x+1)^2' class='latex' /><br /><img src='http://l.wordpress.com/latex.php?latex=%3D16x%5E2%2B8x%2B1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='=16x^2+8x+1' title='=16x^2+8x+1' class='latex' /></li>
<li>A tricky part here is realizing that the number of months between January, 2005 and December, 2009 is 59, not 60 (the interest is first compounded in <u>February</u>, 2005).  After that, just plug the numbers into the formula: <img src='http://l.wordpress.com/latex.php?latex=Q%3D1000%281%2B0.035%29%5E%7B59%7D%3D1000%281.035%29%5E%7B59%7D%3D7%2C611.68&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Q=1000(1+0.035)^{59}=1000(1.035)^{59}=7,611.68' title='Q=1000(1+0.035)^{59}=1000(1.035)^{59}=7,611.68' class='latex' />.</li>
<li><img src='http://l.wordpress.com/latex.php?latex=Q%3D200%281-0.114%29%5Et%3D200%280.886%29%5Et&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Q=200(1-0.114)^t=200(0.886)^t' title='Q=200(1-0.114)^t=200(0.886)^t' class='latex' /></li>
<li>We know that the function will have the form <img src='http://l.wordpress.com/latex.php?latex=h%28x%29%3Dab%5Ex&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h(x)=ab^x' title='h(x)=ab^x' class='latex' />.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=h%280%29%3Dab%5E0%3D3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h(0)=ab^0=3' title='h(0)=ab^0=3' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=h%281%29%3Dab%5E1%3D15&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h(1)=ab^1=15' title='h(1)=ab^1=15' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=a%3D3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a=3' title='a=3' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=3b%3D15%5CRightarrow+b%3D5&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3b=15\Rightarrow b=5' title='3b=15\Rightarrow b=5' class='latex' /></td>
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</table>
<p>Therefore, <img src='http://l.wordpress.com/latex.php?latex=h%28x%29%3D3%285%29%5Ex&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h(x)=3(5)^x' title='h(x)=3(5)^x' class='latex' /></li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=f%283%29%3Dab%5E3%3D-%5Cfrac%7B3%7D%7B8%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(3)=ab^3=-\frac{3}{8}' title='f(3)=ab^3=-\frac{3}{8}' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=f%28-2%29%3Dab%5E%7B-2%7D%3D-12&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(-2)=ab^{-2}=-12' title='f(-2)=ab^{-2}=-12' class='latex' /></td>
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<tr>
<td colspan="2"><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bab%5E3%7D%7Bab%5E%7B-2%7D%7D%3D%5Cfrac%7B-%5Cfrac%7B3%7D%7B8%7D%7D%7B-12%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{ab^3}{ab^{-2}}=\frac{-\frac{3}{8}}{-12}' title='\frac{ab^3}{ab^{-2}}=\frac{-\frac{3}{8}}{-12}' class='latex' /></td>
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<td colspan="2"><img src='http://l.wordpress.com/latex.php?latex=b%5E5%3D%5Cfrac%7B1%7D%7B32%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b^5=\frac{1}{32}' title='b^5=\frac{1}{32}' class='latex' /></td>
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<tr>
<td colspan="2"><img src='http://l.wordpress.com/latex.php?latex=b%3D%5Csqrt%5B5%5D%7B%5Cfrac%7B1%7D%7B32%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b=\sqrt[5]{\frac{1}{32}}=\frac{1}{2}' title='b=\sqrt[5]{\frac{1}{32}}=\frac{1}{2}' class='latex' /></td>
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<tr>
<td colspan="2"><img src='http://l.wordpress.com/latex.php?latex=a%28%5Cfrac%7B1%7D%7B2%7D%29%5E3%3D-%5Cfrac%7B3%7D%7B8%7D%5CRightarrow+a%3D-3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a(\frac{1}{2})^3=-\frac{3}{8}\Rightarrow a=-3' title='a(\frac{1}{2})^3=-\frac{3}{8}\Rightarrow a=-3' class='latex' /></td>
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</table>
<p>Therefore, <img src='http://l.wordpress.com/latex.php?latex=f%28x%29%3D-3%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x)=-3(\frac{1}{2})^x' title='f(x)=-3(\frac{1}{2})^x' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=Q%3D1000e%5E%7B%280.035%29%2859%29%7D%3D7%2C885.30&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Q=1000e^{(0.035)(59)}=7,885.30' title='Q=1000e^{(0.035)(59)}=7,885.30' class='latex' /></li>
<li>8% compounded quarterly <img src='http://l.wordpress.com/latex.php?latex=%5CRightarrow&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\Rightarrow' title='\Rightarrow' class='latex' /> 2% each quarter<br />
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<td>8%: <img src='http://l.wordpress.com/latex.php?latex=%281.02%29%5E4+%5Capprox+1.0824&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(1.02)^4 \approx 1.0824' title='(1.02)^4 \approx 1.0824' class='latex' /> or 8.24%</td>
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<td>7.95%: <img src='http://l.wordpress.com/latex.php?latex=e%5E%7B0.0795%7D%5Capprox+1.0827&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^{0.0795}\approx 1.0827' title='e^{0.0795}\approx 1.0827' class='latex' /> or 8.27%</td>
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</table>
<p>Therefore, 7.95% compounded continuously is better.</li>
<li>
<table>
<tr>
<td>a. <img src='http://l.wordpress.com/latex.php?latex=10%5EN%3D1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='10^N=1' title='10^N=1' class='latex' /><br /><img src='http://l.wordpress.com/latex.php?latex=N%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='N=0' title='N=0' class='latex' /></td>
<td>b. <img src='http://l.wordpress.com/latex.php?latex=10%5EN%3D1+&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='10^N=1 ' title='10^N=1 ' class='latex' /><br /><img src='http://l.wordpress.com/latex.php?latex=N%3D1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='N=1' title='N=1' class='latex' /></td>
<td>c. <img src='http://l.wordpress.com/latex.php?latex=10%5EN%3D%5Csqrt%7B10%7D%3D10%5E%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='10^N=\sqrt{10}=10^\frac{1}{2}' title='10^N=\sqrt{10}=10^\frac{1}{2}' class='latex' /><br /><img src='http://l.wordpress.com/latex.php?latex=N%3D%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='N=\frac{1}{2}' title='N=\frac{1}{2}' class='latex' /></td>
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<td>d. <img src='http://l.wordpress.com/latex.php?latex=8.5&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='8.5' title='8.5' class='latex' /></td>
<td>e. <img src='http://l.wordpress.com/latex.php?latex=x%2B3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x+3' title='x+3' class='latex' /></td>
<td>f. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{2}' title='\frac{1}{2}' class='latex' /></td>
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</table>
</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=5e%5E%7B2x%7D%3D50%3C%2Ftd%3E+%3C%2Ftr%3E+%3Ctr%3E+%3Ctd%3E&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='5e^{2x}=50&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td&gt;' title='5e^{2x}=50&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td&gt;' class='latex' />latex e^{2x}=10$</td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cln+e%5E%7B2x%7D%3D%5Cln+10&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\ln e^{2x}=\ln 10' title='\ln e^{2x}=\ln 10' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=2x%3D%5Cln+10&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2x=\ln 10' title='2x=\ln 10' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%3D%5Cfrac%7B%5Cln+10%7D%7B2%7D%5Capprox+1.151&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=\frac{\ln 10}{2}\approx 1.151' title='x=\frac{\ln 10}{2}\approx 1.151' class='latex' /></td>
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</table>
</li>
<p>One of the properties of logarithms is <img src='http://l.wordpress.com/latex.php?latex=%5Clog+x%5Ea%3Da%5Clog+x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\log x^a=a\log x' title='\log x^a=a\log x' class='latex' /> (or <img src='http://l.wordpress.com/latex.php?latex=%5Cln+x%5Ea%3Da%5Cln+x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\ln x^a=a\ln x' title='\ln x^a=a\ln x' class='latex' />.</p>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=500%3D25%281.1%29%5E%7B3x%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='500=25(1.1)^{3x}' title='500=25(1.1)^{3x}' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%281.1%29%5E%7B3x%7D%3D20&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(1.1)^{3x}=20' title='(1.1)^{3x}=20' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Clog+%281.1%29%5E%7B3x%7D%3D%5Clog+20&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\log (1.1)^{3x}=\log 20' title='\log (1.1)^{3x}=\log 20' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=3x%5Clog+1.1%3D%5Clog+20&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3x\log 1.1=\log 20' title='3x\log 1.1=\log 20' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%3D%5Cfrac%7B%5Clog+20%7D%7B3%5Clog+1.1%7D%5Capprox+10.477&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=\frac{\log 20}{3\log 1.1}\approx 10.477' title='x=\frac{\log 20}{3\log 1.1}\approx 10.477' class='latex' /></td>
</tr>
</table>
</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=Pe%5E%7B-0.00121t%7D%3D%5Cfrac%7B1%7D%7B2%7DP&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Pe^{-0.00121t}=\frac{1}{2}P' title='Pe^{-0.00121t}=\frac{1}{2}P' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=e%5E%7B-0.00121t%7D%3D%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^{-0.00121t}=\frac{1}{2}' title='e^{-0.00121t}=\frac{1}{2}' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cln+e%5E%7B-0.00121t%7D%3D%5Cln+%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\ln e^{-0.00121t}=\ln \frac{1}{2}' title='\ln e^{-0.00121t}=\ln \frac{1}{2}' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=-0.00121t%3D%5Cln+%5Cfrac%7B1%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='-0.00121t=\ln \frac{1}{2}' title='-0.00121t=\ln \frac{1}{2}' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=t%5Capprox+5728.49&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='t\approx 5728.49' title='t\approx 5728.49' class='latex' /></td>
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</table>
</li>
<li>To convert between the two forms, remember <img src='http://l.wordpress.com/latex.php?latex=e%5Ek%3Db&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^k=b' title='e^k=b' class='latex' />.  Therefore, <img src='http://l.wordpress.com/latex.php?latex=e%5E%7B0.3%7D%3Db%5Capprox+1.35&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^{0.3}=b\approx 1.35' title='e^{0.3}=b\approx 1.35' class='latex' />, which means the formula is <img src='http://l.wordpress.com/latex.php?latex=Q%3D7%281.35%29%5Et&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Q=7(1.35)^t' title='Q=7(1.35)^t' class='latex' />.</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=e%5Ek%3D0.886&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^k=0.886' title='e^k=0.886' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cln+e%5Ek%3D%5Cln+0.886&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\ln e^k=\ln 0.886' title='\ln e^k=\ln 0.886' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=k%5Capprox+-0.121&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k\approx -0.121' title='k\approx -0.121' class='latex' /></td>
</tr>
</table>
<p>Since it&#8217;s a negative number, it&#8217;s a continuous <u>decay</u> rate of 12.1%.</li>
<p>To convert between radians and degrees, use the relation that <img src='http://l.wordpress.com/latex.php?latex=180%5C+%5Cmathrm%7Bdegrees%7D%3D%5Cpi%5C+%5Cmathrm%7Bradians%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='180\ \mathrm{degrees}=\pi\ \mathrm{radians}' title='180\ \mathrm{degrees}=\pi\ \mathrm{radians}' class='latex' />.</p>
<li><img src='http://l.wordpress.com/latex.php?latex=30%5C+%5Cmathrm%7Bradians%7D%5Ccdot%5Cfrac%7B180%5C+%5Cmathrm%7Bdegrees%7D%7D%7B%5Cpi%5C+%5Cmathrm%7Bradians%7D%7D%3D%5Cfrac%7B30%28180%7D%7B%5Cpi%7D%3D1718.87%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='30\ \mathrm{radians}\cdot\frac{180\ \mathrm{degrees}}{\pi\ \mathrm{radians}}=\frac{30(180}{\pi}=1718.87\textdegree' title='30\ \mathrm{radians}\cdot\frac{180\ \mathrm{degrees}}{\pi\ \mathrm{radians}}=\frac{30(180}{\pi}=1718.87\textdegree' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%5Cpi%7D%7B6%7D%5C+%5Cmathrm%7Bdegrees%7D%5Ccdot%5Cfrac%7B%5Cpi%5C+%5Cmathrm%7Bradians%7D%7D%7B180%5C+%5Cmathrm%7Bdegrees%7D%7D%3D%5Cfrac%7B%5Cpi%5E2%7D%7B6%28180%29%7D%3D0.00914%5C+%5Cmathrm%7Brad.%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{\pi}{6}\ \mathrm{degrees}\cdot\frac{\pi\ \mathrm{radians}}{180\ \mathrm{degrees}}=\frac{\pi^2}{6(180)}=0.00914\ \mathrm{rad.}' title='\frac{\pi}{6}\ \mathrm{degrees}\cdot\frac{\pi\ \mathrm{radians}}{180\ \mathrm{degrees}}=\frac{\pi^2}{6(180)}=0.00914\ \mathrm{rad.}' class='latex' /></li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=3t%3D2%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3t=2\pi' title='3t=2\pi' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=t%3D%5Cfrac%7B2%5Cpi%7D%7B3%7D%5CRightarrow+%5Cmathrm%7BPeriod%7D%3D%5Cfrac%7B2%5Cpi%7D%7B3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='t=\frac{2\pi}{3}\Rightarrow \mathrm{Period}=\frac{2\pi}{3}' title='t=\frac{2\pi}{3}\Rightarrow \mathrm{Period}=\frac{2\pi}{3}' class='latex' /></td>
</tr>
</table>
</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=y%3D%5Csin%5Ctheta%3A%5C+%28-%5Cinfty%2C%2B%5Cinfty%29%5Crightarrow%5B-1%2C1%5D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=\sin\theta:\ (-\infty,+\infty)\rightarrow[-1,1]' title='y=\sin\theta:\ (-\infty,+\infty)\rightarrow[-1,1]' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=y%3D%5Csin%5E%7B-1%7Dx%3A%5C+%5B-1%2C1%5D%5Crightarrow%5B-%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%5D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=\sin^{-1}x:\ [-1,1]\rightarrow[-\frac{\pi}{2},\frac{\pi}{2}]' title='y=\sin^{-1}x:\ [-1,1]\rightarrow[-\frac{\pi}{2},\frac{\pi}{2}]' class='latex' /></td>
</tr>
<tr>
<td>The arcsine of <i>x</i> is the angle whose sine is <i>x</i>.</td>
</tr>
</table>
</li>
<p>Use Law of Sines if you have a side and two angles; use Law of Cosines if you have two sides and one angle.</p>
<li>In thirty minutes (0.5 hours), plane #1 has traveled 254.5 miles and plane #2 has traveled 251.5 miles.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=c%5E2%3D254.5%5E2%2B251.5%5E2-2%28254.5%29%28251.5%29%5Ccos+103%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='c^2=254.5^2+251.5^2-2(254.5)(251.5)\cos 103\textdegree' title='c^2=254.5^2+251.5^2-2(254.5)(251.5)\cos 103\textdegree' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=c%5E2%5Capprox+156819.27%5CRightarrow+c%5Capprox+396.0%5C+%5Cmathrm%7Bmiles%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='c^2\approx 156819.27\Rightarrow c\approx 396.0\ \mathrm{miles}' title='c^2\approx 156819.27\Rightarrow c\approx 396.0\ \mathrm{miles}' class='latex' /></td>
</tr>
</table>
</li>
<li>If the vertex angle is 39&#176;, then the other two angles are each <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B180-39%7D%7B2%7D%3D70.5%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{180-39}{2}=70.5\textdegree' title='\frac{180-39}{2}=70.5\textdegree' class='latex' />.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B425%7D%7B%5Csin+39%5Ctextdegree%7D%3D%5Cfrac%7Bx%7D%7B%5Csin+70.5%5Ctextdegree%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{425}{\sin 39\textdegree}=\frac{x}{\sin 70.5\textdegree}' title='\frac{425}{\sin 39\textdegree}=\frac{x}{\sin 70.5\textdegree}' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%5Csin+39%5Ctextdegree%3D425%5Csin+70.5%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x\sin 39\textdegree=425\sin 70.5\textdegree' title='x\sin 39\textdegree=425\sin 70.5\textdegree' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%5Capprox+636.6%5C+%5Cmathrm%7Bfeet%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x\approx 636.6\ \mathrm{feet}' title='x\approx 636.6\ \mathrm{feet}' class='latex' /></td>
</tr>
</table>
</li>
<li>When you diagram this problem, you will notice that you have two triangles: one with the 60&#176; angle of elevation and a 210&#8242; side (the other angles are 110&#176; and 10&#176;), adjacent to a right triangle with the 70&#176; angle of elevation.  To solve this problem, you will need to first find the length of the shared side (<i>y</i>) using Law of Sines.  Then, use sine to find the height.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B210%7D%7B%5Csin+10%5Ctextdegree%7D%3D%5Cfrac%7By%7D%7B%5Csin+60%5Ctextdegree%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{210}{\sin 10\textdegree}=\frac{y}{\sin 60\textdegree}' title='\frac{210}{\sin 10\textdegree}=\frac{y}{\sin 60\textdegree}' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=y%5Csin+10%5Ctextdegree%3D210%5Csin+60%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y\sin 10\textdegree=210\sin 60\textdegree' title='y\sin 10\textdegree=210\sin 60\textdegree' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=y%5Capprox+1047.3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y\approx 1047.3' title='y\approx 1047.3' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Csin+70%5Ctextdegree%3D%5Cfrac%7Bx%7D%7B1047.3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sin 70\textdegree=\frac{x}{1047.3}' title='\sin 70\textdegree=\frac{x}{1047.3}' class='latex' /></td>
<tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%5Capprox+984%5C+%5Cmathrm%7Bfeet%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x\approx 984\ \mathrm{feet}' title='x\approx 984\ \mathrm{feet}' class='latex' /></td>
</tr>
</table>
</li>
<li>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%5E2%3D97%5E2%2B82%5E2-2%2897%29%2882%29%5Ccos+125%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2=97^2+82^2-2(97)(82)\cos 125\textdegree' title='x^2=97^2+82^2-2(97)(82)\cos 125\textdegree' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=x%5E2%5Capprox+25257.45%5CRightarrow+x%5Capprox+158.9%5C+%5Cmathrm%7Bfeet%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2\approx 25257.45\Rightarrow x\approx 158.9\ \mathrm{feet}' title='x^2\approx 25257.45\Rightarrow x\approx 158.9\ \mathrm{feet}' class='latex' /></td>
</tr>
</table>
</li>
</ol>
</div>]]></content:encoded>
</item>
<item>
<title><![CDATA[Nailed It]]></title>
<link>http://evabargaindiva.wordpress.com/2009/11/17/nailed-it/</link>
<pubDate>Tue, 17 Nov 2009 01:16:40 +0000</pubDate>
<dc:creator>evabargaindiva</dc:creator>
<guid>http://evabargaindiva.wordpress.com/2009/11/17/nailed-it/</guid>
<description><![CDATA[Ahhh. from head to toe we change our look for the winter. Our color palette shifts as should our pol]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href="http://evabargaindiva.wordpress.com/files/2009/11/1116091645.jpeg"><img class="alignleft size-medium wp-image-123" title="Hands down " src="http://evabargaindiva.wordpress.com/files/2009/11/1116091645.jpeg?w=225" alt="" width="225" height="300" /></a>Ahhh. from head to toe we change our look for the winter. Our color palette shifts as should our polishes. Gone for the winter are OPI&#8217;s Pompeii Purple and its frosty friends. In its place glossy opaques in warm jewel tones to December&#8217;s sparkly reds. I have added a few Essie polishes to my repetoire. The crown jewel being &#8220;Mint Candy Apple&#8221; a shade featured in the new mini set by the brand. I took advantage of an Ulta buy 2 get 1 free and a coupon for $3.50 off. So instead of $24 total I scored all 3 for $12.50. Essie is a great brand with great coverage and color variety. If you are opting for a plain nail their pink tinted clear &#8220;Pink Glove Service&#8221; is a hands down fave. It also erradicates any yellowing your nails may have. What is your seasonal fave?</p>
</div>]]></content:encoded>
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<item>
<title><![CDATA[REDUTA - nr. 6]]></title>
<link>http://ciprianjurma.wordpress.com/2009/11/17/reduta-nr-6/</link>
<pubDate>Mon, 16 Nov 2009 22:08:06 +0000</pubDate>
<dc:creator>ciprianjurma</dc:creator>
<guid>http://ciprianjurma.wordpress.com/2009/11/17/reduta-nr-6/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[]]></content:encoded>
</item>
<item>
<title><![CDATA[SCIE 4101 Review Packet #5]]></title>
<link>http://mathblog.wordpress.com/2009/11/14/scie-4101-review-packet-5/</link>
<pubDate>Sun, 15 Nov 2009 00:37:35 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/11/14/scie-4101-review-packet-5/</guid>
<description><![CDATA[Math Review Packet 5 I don&#8217;t expect y&#8217;all to construct a complicated proof from scratch,]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href='http://mathblog.wordpress.com/files/2009/11/review-packet-51.doc'>Math Review Packet 5</a></p>
<p>I don&#8217;t expect y&#8217;all to construct a complicated proof from scratch, but I do think it&#8217;s important that you be (re)acquainted with basic geometric properties.</p>
<p>To give you some help, <a href='http://mathblog.wordpress.com/files/2009/11/theorem-dominoes.doc'>here</a> are the basic algebraic and geometric properties.</p>
<p>Also, this packet reviews trigonometric ratios.  There are a lot of different mnemonic devices for remembering the order of things (SOH-CAH-TOA is one), but one I like because my students seem to be able to remember it better is &#8220;Some Old Hippie Caught Another Hippie Tripping On Acid.&#8221;  Either way, we have </p>
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Csin+%3D+%5Cfrac%7Bopp%7D%7Bhyp%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sin = \frac{opp}{hyp}' title='\sin = \frac{opp}{hyp}' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Ccos+%3D+%5Cfrac%7Badj%7D%7Bhyp%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\cos = \frac{adj}{hyp}' title='\cos = \frac{adj}{hyp}' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Ctan+%3D+%5Cfrac%7Bopp%7D%7Badj%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tan = \frac{opp}{adj}' title='\tan = \frac{opp}{adj}' class='latex' /></td>
</tr>
</table>
<p>For a right triangle, if you know either two sides or one side and one acute angle, you can find out everything else about that triangle.  If you would like some additional practice, here are some worksheets I use with my students:</p>
<p><a href='http://mathblog.wordpress.com/files/2009/11/8-2-classwork.doc'>Trig Ratio Practice</a><br />
<a href='http://mathblog.wordpress.com/files/2009/11/8-3-ws-solving-right-triangles.doc'>Solving Triangles Practice</a></p>
<p>Answers to Packet</p>
<table>
<tr>
<td>1.<br />
<table>
<tr>
<td> <img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%2Bm%5Cangle+2%3D180&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1+m\angle 2=180' title='m\angle 1+m\angle 2=180' class='latex' /></td>
<td>def. linear pair</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+2+%2Bm%5Cangle+3%3D180&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 2 +m\angle 3=180' title='m\angle 2 +m\angle 3=180' class='latex' /></td>
<td>def. linear pair</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%2Bm%5Cangle+3%3Dm%5Cangle+2%2Bm%5Cangle+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1+m\angle 3=m\angle 2+m\angle 3' title='m\angle 1+m\angle 3=m\angle 2+m\angle 3' class='latex' /></td>
<td>trans. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%3Dm%5Cangle+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1=m\angle 2' title='m\angle 1=m\angle 2' class='latex' /></td>
<td>subtr. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+1+%5Ccong+%5Cangle+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle 1 \cong \angle 2' title='\angle 1 \cong \angle 2' class='latex' /></td>
<td>def. of <img src='http://l.wordpress.com/latex.php?latex=%5Ccong&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\cong' title='\cong' class='latex' /></td>
</tr>
</table>
</td>
</tr>
<tr>
<td>2.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle 1' title='\angle 1' class='latex' /> and <img src='http://l.wordpress.com/latex.php?latex=%5Cangle+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle 2' title='\angle 2' class='latex' /> are supplementary</td>
<td>given</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%2Bm%5Cangle+2%3D180&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1+m\angle 2=180' title='m\angle 1+m\angle 2=180' class='latex' /></td>
<td>def. of supplementary</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%2Bm%5Cangle+3%3D180&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1+m\angle 3=180' title='m\angle 1+m\angle 3=180' class='latex' /></td>
<td>def. linear pair</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+1%2Bm%5Cangle+2%3Dm%5Cangle+1%2Bm%5Cangle+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 1+m\angle 2=m\angle 1+m\angle 3' title='m\angle 1+m\angle 2=m\angle 1+m\angle 3' class='latex' /></td>
<td>trans. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+2%3Dm%5Cangle+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle 2=m\angle 3' title='m\angle 2=m\angle 3' class='latex' /></td>
<td>subtr. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+2%5Ccong%5Cangle+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle 2\cong\angle 3' title='\angle 2\cong\angle 3' class='latex' /></td>
<td>def. of <img src='http://l.wordpress.com/latex.php?latex=%5Ccong&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\cong' title='\cong' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=a+%5Cparallel+b&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a \parallel b' title='a \parallel b' class='latex' /></td>
<td>converse of corresponding angles</td>
</tr>
</table>
</td>
</tr>
<tr>
<td>3.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=C&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' /> midpoint of <img src='http://l.wordpress.com/latex.php?latex=%5Coverline%7BBD%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline{BD}' title='\overline{BD}' class='latex' /> and <img src='http://l.wordpress.com/latex.php?latex=%5Coverline%7BAE%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline{AE}' title='\overline{AE}' class='latex' /></td>
<td>given</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=AC%3DED&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='AC=ED' title='AC=ED' class='latex' />, <img src='http://l.wordpress.com/latex.php?latex=DC%3DBC&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='DC=BC' title='DC=BC' class='latex' /></td>
<td>def. of midpoint</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Coverline%7BAC%7D%5Ccong%5Coverline%7BEC%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline{AC}\cong\overline{EC}' title='\overline{AC}\cong\overline{EC}' class='latex' />, <img src='http://l.wordpress.com/latex.php?latex=%5Coverline%7BDC%7D%5Ccong%5Coverline%7BBC%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline{DC}\cong\overline{BC}' title='\overline{DC}\cong\overline{BC}' class='latex' /></td>
<td>def. of <img src='http://l.wordpress.com/latex.php?latex=%5Ccong&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\cong' title='\cong' class='latex' /></td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+1%5Ccong%5Cangle+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle 1\cong\angle 2' title='\angle 1\cong\angle 2' class='latex' /></td>
<td>vertical angles</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Ctriangle+ACB%5Ccong%5Ctriangle+ECD&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\triangle ACB\cong\triangle ECD' title='\triangle ACB\cong\triangle ECD' class='latex' /></td>
<td>SAS</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+A%5Ccong%5Cangle+E&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle A\cong\angle E' title='\angle A\cong\angle E' class='latex' /></td>
<td>CPCTC</td>
</tr>
</table>
</td>
</tr>
<tr>
<td>4.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Coverline%7BIR%7D%5Ccong%5Coverline%7BRE%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline{IR}\cong\overline{RE}' title='\overline{IR}\cong\overline{RE}' class='latex' /></td>
<td>def. of rhombus</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+IFS%5Ccong%5Cangle+IRS&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle IFS\cong\angle IRS' title='\angle IFS\cong\angle IRS' class='latex' /></td>
<td>isosceles triangle</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Coverline+%7BIE%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline {IE}' title='\overline {IE}' class='latex' /> bisects <img src='http://l.wordpress.com/latex.php?latex=%5Coverline+%7BFR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline {FR}' title='\overline {FR}' class='latex' /></td>
<td>parallelogram</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Coverline+%7BFS%7D%5Ccong%5Coverline+%7BRS%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline {FS}\cong\overline {RS}' title='\overline {FS}\cong\overline {RS}' class='latex' /></td>
<td>def. of bisector</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Ctriangle+FIS%5Ccong%5Ctriangle+RIS&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\triangle FIS\cong\triangle RIS' title='\triangle FIS\cong\triangle RIS' class='latex' /></td>
<td>SAS</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Cangle+FSI%5Ccong%5Cangle+RSI&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\angle FSI\cong\angle RSI' title='\angle FSI\cong\angle RSI' class='latex' /></td>
<td>CPCTC</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+FSI%2Bm%5Cangle+RSI%3D180%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle FSI+m\angle RSI=180\textdegree' title='m\angle FSI+m\angle RSI=180\textdegree' class='latex' /></td>
<td>def. linear pair</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+FSI%2Bm%5Cangle+FSI%3D180%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle FSI+m\angle FSI=180\textdegree' title='m\angle FSI+m\angle FSI=180\textdegree' class='latex' /></td>
<td>substitution prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+FSI%3D90%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle FSI=90\textdegree' title='m\angle FSI=90\textdegree' class='latex' /></td>
<td>div. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=m%5Cangle+RSI%3D90%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m\angle RSI=90\textdegree' title='m\angle RSI=90\textdegree' class='latex' /></td>
<td>trans. prop. =</td>
</tr>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=%5Coverline+%7BFR%7D%5Cperp%5Coverline+%7BIE%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\overline {FR}\perp\overline {IE}' title='\overline {FR}\perp\overline {IE}' class='latex' /></td>
<td>linear pair congruent</td>
</tr>
</table>
<p>This is by no means the only way to construct this proof.  You could also use vertical angles to prove angles congruent; another (maybe easier) method would be to use the fact that the diagonals bisect each other to use SSS.</td>
</tr>
<tr>
<td>5. <img src='http://l.wordpress.com/latex.php?latex=v%3D20&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='v=20' title='v=20' class='latex' />; <img src='http://l.wordpress.com/latex.php?latex=w%2B5%3D%5Cfrac%7B1%7D%7B2%7D%28w-7%2B3w-11%29%5CRightarrow+w%3D14&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='w+5=\frac{1}{2}(w-7+3w-11)\Rightarrow w=14' title='w+5=\frac{1}{2}(w-7+3w-11)\Rightarrow w=14' class='latex' /></td>
</tr>
<tr>
<td>6. <img src='http://l.wordpress.com/latex.php?latex=%28f%2B2%29%28f-2%29%3D%2815%29%284%29%5CRightarrow+f%5E2-4%3D60%5CRightarrow+f%3D8&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(f+2)(f-2)=(15)(4)\Rightarrow f^2-4=60\Rightarrow f=8' title='(f+2)(f-2)=(15)(4)\Rightarrow f^2-4=60\Rightarrow f=8' class='latex' /></td>
</tr>
<table>
<tr>
<td>7. <img src='http://l.wordpress.com/latex.php?latex=0.4452&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='0.4452' title='0.4452' class='latex' /></td>
<td>8. <img src='http://l.wordpress.com/latex.php?latex=0.2756&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='0.2756' title='0.2756' class='latex' /></td>
<td>9. <img src='http://l.wordpress.com/latex.php?latex=0.1564&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='0.1564' title='0.1564' class='latex' /></td>
</tr>
<tr>
<td>10. <img src='http://l.wordpress.com/latex.php?latex=68%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='68\textdegree' title='68\textdegree' class='latex' /></td>
<td>11. <img src='http://l.wordpress.com/latex.php?latex=22%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='22\textdegree' title='22\textdegree' class='latex' /></td>
<td>12. <img src='http://l.wordpress.com/latex.php?latex=34%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='34\textdegree' title='34\textdegree' class='latex' /></td>
</tr>
<tr>
<td>13. (missing leg=48)<br /> a. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B48%7D%7B50%7D%3D%5Cfrac%7B24%7D%7B25%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{48}{50}=\frac{24}{25}' title='\frac{48}{50}=\frac{24}{25}' class='latex' /></td>
<td>b. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B14%7D%7B50%7D%3D%5Cfrac%7B7%7D%7B25%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{14}{50}=\frac{7}{25}' title='\frac{14}{50}=\frac{7}{25}' class='latex' /></td>
<td>c. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B48%7D%7B14%7D%3D%5Cfrac%7B24%7D%7B7%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{48}{14}=\frac{24}{7}' title='\frac{48}{14}=\frac{24}{7}' class='latex' /></td>
</tr>
<tr>
<td>d. <img src='http://l.wordpress.com/latex.php?latex=%5Csin%5E%7B-1%7D%5Cfrac%7B48%7D%7B50%7D%5Capprox+74%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sin^{-1}\frac{48}{50}\approx 74\textdegree' title='\sin^{-1}\frac{48}{50}\approx 74\textdegree' class='latex' /></td>
<td>e. <img src='http://l.wordpress.com/latex.php?latex=90%5Ctextdegree-74%5Ctextdegree%3D16%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='90\textdegree-74\textdegree=16\textdegree' title='90\textdegree-74\textdegree=16\textdegree' class='latex' /></td>
<td>f. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B48%7D%7B50%7D%3D%5Cfrac%7B24%7D%7B25%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{48}{50}=\frac{24}{25}' title='\frac{48}{50}=\frac{24}{25}' class='latex' /></td>
</tr>
<tr>
<td colspan="3">14. <img src='http://l.wordpress.com/latex.php?latex=%5Csin+21%5Ctextdegree%3D%5Cfrac%7BVS%7D%7B3%5Ctimes+10%5E8%7D%5CRightarrow+VS%5Capprox+107%2C510%2C385%5C+%281.08%5Ctimes+10%5E8%29%5C+%5Cmathrm%7Bkm%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sin 21\textdegree=\frac{VS}{3\times 10^8}\Rightarrow VS\approx 107,510,385\ (1.08\times 10^8)\ \mathrm{km}' title='\sin 21\textdegree=\frac{VS}{3\times 10^8}\Rightarrow VS\approx 107,510,385\ (1.08\times 10^8)\ \mathrm{km}' class='latex' /></td>
</tr>
</table>
</div>]]></content:encoded>
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<title><![CDATA[Grace.]]></title>
<link>http://bellelumiere.wordpress.com/2009/11/12/grace/</link>
<pubDate>Fri, 13 Nov 2009 06:21:44 +0000</pubDate>
<dc:creator>Christina Lam</dc:creator>
<guid>http://bellelumiere.wordpress.com/2009/11/12/grace/</guid>
<description><![CDATA[Last night was one of the funnest unexpected drunken nights I&#8217;ve had in a long while. But we]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Last night was one of the funnest unexpected drunken nights I&#8217;ve had in a long while.<br />
But we&#8217;ll start at 4 PM.</p>
<p>I looked so fly- someone should&#8217;ve been taking pictures of me!  Just kidding.  Though I did get some nice compliments on my outfit throughout the day though.  It was Wednesday, meaning interview at JC Penny.  I sat outside the JC Penny entrance for a good 20 minutes getting more and more nervous the more I thought about it.  I had my liprings out, my hair done, and I was preparing myself for questions that might&#8217;ve been asked although I knew once I got in there, I would forget it all.</p>
<p>I sat outside in a rounded chair waiting to be called back by Deborah.  The Manager.  There was a man before me, early 20&#8217;s I&#8217;d say.  Wearing jeans, a button up, and some brand name skate shoes.  There was a woman after me, I&#8217;d also say early 20&#8217;s she wore this long bold printed skirt with many colors, some disgusting UGG boots and black framed glasses.  Her long hair seemed to be unbrushed and uncared for.  When Deborah came out, she told us that she was running about 15 minutes late, and this ugly bitch with the UGG boots was on her sidekick the whole time.  What a shame.  Fuck the others.  I was up and I sat in the chair in her office.  It wasn&#8217;t really an interview.  I don&#8217;t know what it was.  It was real short, only about 5 minutes I&#8217;d say.  She was friendly, very kind.  She asked me if it had been my first job.  I responded, &#8220;My first interview, yes.&#8221; And she asked me &#8220;What is the most important thing about a store like JC Penny.&#8221;  Something like that..  My response was &#8220;Making the customers feel welcome and comfortable.&#8221;  She told me I had a good answer.  She was writing down all these quick notes next to the schedule, and she commented on how she was worried about how my schedule looks, escpecially since I&#8217;ll be coming from Holiday.  Not good.  And then this sly women Deborah asked me this little tricky question.  &#8220;What is a question you would ask me, about yourself.&#8221;  I was blank.  I looked her in the eyes and told her the honest truth, &#8220;I don&#8217;t know.&#8221;  It was quiet for about 5 seconds and then I said the plain jane thing to say.  &#8220;what my personality is like?&#8221;  She told me I had a great smile, and I was vibrant.  Whew.  It wasn&#8217;t too bad.  I guess.  And that was that.  I waited for Nick to get off of work and we went back to his place.  I had wanted to go to the Vetrans day performance up at the Huntsman Center, but I had a feeling he was either not going to like it or we would some how end up not going at all.  Nick, that slow poke didn&#8217;t listen to be when I said we should be leaving.  We got to 3900 trax close to 7.  That&#8217;s when it was going to start.  I bought Nick&#8217;s trax ticket and we walked down the platform, and soon the train arrived.  Everything was pretty smooth and we got off on Galivan Plaza to switch trains to the University.  We waited a bit and when we got on I was somewhat unsure of what stop to get off at.  It was one or 2 stops past the stadium though.  I don&#8217;t know what the hell was going on, but the driver didn&#8217;t announce what stops we were approaching.  So when the train stopped I had no idea if we were at a stop light or at a trax station.  I attempted to open the door when we stopped at a trax stop.  But the doors didn&#8217;t open?  The train goes some more and stops, we were really at a trax stop.  We went to another door and tried to open that.  Still didn&#8217;t open and the train only stopped for not even five seconds, I swear.  Well, fuck my life.  I felt horrible and it was a complete fail.  I didn&#8217;t even want to go anymore, it was already 8 when we got to the end of the University line.  We said fuck it and headed back to Galivan Plaza.  Nick said &#8220;I should call Poet and see if we can toke on some hookah.&#8221;  &#8220;YES!&#8221;  My response was.  Even though Nick wanted to avoid being near the lounge when we got off at Galivan plaza to switch trains in the first place.  Poet says we  can come in, and so we walked right on through when he saw us.  We said our Hellos and sat down at the bar to toke on some Hookah.  I&#8217;ve missed that place!  Very important memories for me have been held there, or on the nights that we were there.  Nick ordered a Redbull and Vodka and we thought that was going to be it for drinks, and we would head out.  No sir.  There was a fly ass business guy sitting next to me I shook his hand, but I was too wasted to remember his name.  I thought it was James, but everyone else was calling him Stacey.   After we finished our first beverage, Poet gave us a free refill.  After we were finished with that, Stacey says &#8220;I want to buy everyone here, a round of shots.&#8221;  WOW!  I had Jose Cuervo tequila- Gold.  Nick had  Crown.  I drank that down and I was A OK!  After that, there was another round of shots by Stacey, I think?  Nick and I had crown royal.  DRUNK.  After that, Poet gave us a Pina Colada, and  it was delicious!  A slurpie with Alcohol was it.  When I finished that off, Poet gave us one more shot.  On him.  Tequila shot with lime and salt.  I swear, that&#8217;s my favorite kind of shot now.  Best I&#8217;ve ever had.  The Tequila was nasty, real strong but I had salt on my lips so I licked that up and I took a good bite out of my lime, had some more salt and it was amazing.  About 6 shots for Nick and I.  It was <strong>only 10 PM</strong> when it really should&#8217;ve been 4AM.Wednesday night, smashed on Veterans day.  It really was an amazing night after all!  I wish the night hadn&#8217;t ended so soon, but it did and we were wasted.  It really was a good thing we took trax though.  It gave us a good 30 minutes to try and sober up.  We wanted to end the night with something else, but when it came to that time.  We both said fuck it and agreed we were too drunk and too tired and all we wanted was sleep.  I was almost home when I decided it was time to puke.  Wow, that was a lot of alcohol that came up.  Good thing I didn&#8217;t have much to eat for lunch and the evening!  (hah)   I felt better, but not for long because once I got home.  I just needed to pass the fuck out.  <strong>WHAT A FUN NIGHT.</strong> It&#8217;s a shame that Poet will no longer be working there, and Max quit  a while back.  Getting up this morning wasn&#8217;t too bad.  I was just extremely tired is all.  I&#8217;ve been blogging for a good 45 minutes now.  I am off to bed.  For sure.  Nick is currently out getting free drinks with Stacey at the piano bar I&#8217;ve been wanting to go to for a bit now!  Keys on main.  That lucky stunna.  Can I be 21 now?</p>
<p>Goodnight.</p>
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<title><![CDATA[Neue Wege zu einem flexiblen Prozessmanagement]]></title>
<link>http://isistimesgerman.wordpress.com/2009/11/11/neue-wege-zu-einem-flexiblen-prozessmanagement/</link>
<pubDate>Wed, 11 Nov 2009 09:02:28 +0000</pubDate>
<dc:creator>Michael Zobel</dc:creator>
<guid>http://isistimesgerman.wordpress.com/2009/11/11/neue-wege-zu-einem-flexiblen-prozessmanagement/</guid>
<description><![CDATA[Wenn Analysten zum Schluss kommen, dass Organisationen ihre Anwenderprozesse wesentlich rascher modi]]></description>
<content:encoded><![CDATA[Wenn Analysten zum Schluss kommen, dass Organisationen ihre Anwenderprozesse wesentlich rascher modi]]></content:encoded>
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<title><![CDATA[Avoiding Constraints Of Conventional BPM]]></title>
<link>http://isis-times.com/2009/11/10/avoiding-constraints-of-conventional-bpm/</link>
<pubDate>Tue, 10 Nov 2009 08:05:09 +0000</pubDate>
<dc:creator>Michael Zobel</dc:creator>
<guid>http://isis-times.com/2009/11/10/avoiding-constraints-of-conventional-bpm/</guid>
<description><![CDATA[When analysts come to the conclusion that end-user organizations want to be able to change their pro]]></description>
<content:encoded><![CDATA[When analysts come to the conclusion that end-user organizations want to be able to change their pro]]></content:encoded>
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<title><![CDATA[crying rain by girugämesh ]]></title>
<link>http://nanakizawa.wordpress.com/2009/11/09/girugameshcryingrain/</link>
<pubDate>Mon, 09 Nov 2009 11:10:05 +0000</pubDate>
<dc:creator>Nanacchi</dc:creator>
<guid>http://nanakizawa.wordpress.com/2009/11/09/girugameshcryingrain/</guid>
<description><![CDATA[girugämesh, bagi penggemar musik beraliran J-Rock -Japanese Rock- mungkin sudah tidak asing lagi den]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><strong>girugämesh</strong>, bagi penggemar musik beraliran J-Rock -Japanese Rock- mungkin sudah tidak asing lagi dengan band yang satu ini. Musik giru -nickname dari fans mereka- tergolong gelap dan cadas. Coba saja lihat penampilan mereka yang sering sekali mengenakan pakaian bernuansa gelap sehingga mendukung musik rock mereka.</p>
<p><!--more--><br />
<div id="attachment_10" class="wp-caption aligncenter" style="width: 470px"><img src="http://nanakizawa.wordpress.com/files/2009/11/girugameshcryingrain.png" alt="girugämesh: Shuu, Satoshi, Яyo, Nii" title="girugamesh-crying+rain" width="460" height="327" class="size-full wp-image-10" /><p class="wp-caption-text">girugämesh</p></div></p>
<p>Dengan Satoshi (vocal), Nii (gitar), Shuu (bass), dan Яyo (drum), girugämesh merilis single ketiga mereka tahun ini, <strong>crying rain</strong> yang berisi tiga lagu: crying rain, S.T.F.U., dan NITRO-09. Berbeda dengan dua lagu lainnya yang bertempo cepat, crying rain lebih terdengar slow walaupun tidak meninggalkan tradisi giru yang selalu menyisipkan nuansa techno ke musik mereka. Lirik crying rain sendiri terdengar mengutarakan kesedihan. Akting Satoshi dalam PV -Promotional Video- crying rain juga memperlihatkan kisah lagu ini -dengan berhujan-hujanan tentunya-. </p>
<p><span style='text-align:center; display: block;'><object width='425' height='350'><param name='movie' value='http://www.youtube.com/v/Jvi6ziyHRT4&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' /><param name='allowfullscreen' value='true' /><param name='wmode' value='transparent' /><embed src='http://www.youtube.com/v/Jvi6ziyHRT4&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' type='application/x-shockwave-flash' allowfullscreen='true' width='425' height='350' wmode='transparent'></embed></object></span></p>
<p>##Lirik crying rain<br />
Furidashita ame wa  kawaita ASUFARUTO ni tokete<br />
Binetsu majiri no te  tsumetaku tsutsumikonde iku</p>
<p>Namida misezu ni  nani ka wo gizei ni shite aruku<br />
Tatoe kekka  kimi wo uragiru koto ni natte mo</p>
<p>Demo ne kawareru  kibou wo sutete made kono mama<br />
Kimi to zutto  onaji yume wo miyou to &#8230;</p>
<p>Kurikaesu hibi ga  bokura wo nurashite iku<br />
Ano hi egaita basho sae<br />
Doshaburi no yoru wa  zutto nariyamanai<br />
Yoru ga naku  naku</p>
<p>Furidashita ame ga  tsuchi no nioi wo kaze ni nosete<br />
Namanuruku tamaru  mizutamari ni kao ga utsuru</p>
<p>Kore de ii no ka?  kotae wa hitotsu shika nai kedo<br />
Kore ga nayami unda kekka  mou kikanaide kure</p>
<p>Jibun semareba  kimochi wa sukoshi raku ni nareru ?<br />
Hora ne itsumo  higaisha no FURI shite bakari</p>
<p>Kireigoto narabe aruite  waraiatte mo<br />
Ame ga subete wo nagashiteku<br />
Wakare wo tsugeta hi  hontou wa naite ita yo<br />
Uso no emi  toke</p>
<p>Mayoi tsuzuke  nayami tsuzuke<br />
Tsuyoku natte ikeru to omou kara<br />
Mayoi tsuzuke  nayami tsuzuke<br />
Konna hibi wo warai aeru hi made</p>
<p>Sutekirenu omoi  yukkuri iki wo tomete<br />
Hitomi tojite iki wo haki<br />
Ano hi omoidashi  te no hira tsuyoku nigiri<br />
Asu ni negau</p>
<p>Kurikaesu hibi ga  bokura wo nurashite iku<br />
Ano hi egaita basho sae<br />
Doshaburi no yoru wa  zutto nariyamanai<br />
Yoru ga naku  naku</p>
<p>##Download single crying rain di <a href="http://www.mediafire.com/file/vt3lnhkw42x/Girugamesh - Crying Rain.rar">MediaFire</a></p>
<p>-Nanakizawa-^^</p>
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<title><![CDATA[INfEkşon.]]></title>
<link>http://lunulaneincrezatoare.wordpress.com/2009/11/07/infekson/</link>
<pubDate>Sat, 07 Nov 2009 09:42:41 +0000</pubDate>
<dc:creator>Le Taula</dc:creator>
<guid>http://lunulaneincrezatoare.wordpress.com/2009/11/07/infekson/</guid>
<description><![CDATA[E târziu în noapte ora 11.09 sâmbătă dimineaţa. E aşa întrucât mi-am dereglat ritmul nictemeral (de ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>E târziu în noapte ora 11.09 sâmbătă dimineaţa. E aşa întrucât mi-am dereglat ritmul nictemeral (de fapt, o expresie mai bună ar fi: mi-am urmărit ritmul nictemeral pe o alee întunecată unde l-am subjugat şi unde i-am făcut un tatuaj cu un cod de bare supt care scrie &#8220;ownd&#8221; pe gât) mulţumită nopţilor scăldate în redbull şi tot felulul de arsuri ştiinţifice.</p>
<p>A trebuit să aştept până azi să fiu sigură că se termină cu siguranţă săptămâna asta, încă stau cu bâta de bătut carne de mânz după colţ (eu, nu mânzu) în caz că vrea săptămâna un rewind.  Deşi mă doare sufleteştico-fizic şi intelectual o voi recapitula pentru a-mi satisface masochismul picătural.</p>
<p>Iote: <strong>luni</strong>- am adomit cu capul lăsat pe spate, salivând pe mine în timpul cursului de anatomie</p>
<p><strong>marţ</strong>- am stat cu clanţa în buturugă aşteptând să dau testul&#8230;.nu. Am investit în carioci.</p>
<p><strong>mier curi</strong>- am adomit salivând pe altcineva la cursul de info. Am aproape investit în &#8220;the man who mistook his wife for a hat&#8221; (oliver&#8230;s&#8230;something something)</p>
<p><strong>joie</strong>- din nou simt metalul rece a clanţei în buturuga mea în ceea ce priveşte testul la anatomie (oliver sacks!!)&#8230;nu din nou. Petrec juma&#8217; de hora asupra cadavrului în timp ce îşi dau cu presupusul  colegii în ceea ce priveşte &#8220;a fi sau a nu fi brahial&#8221;. Mă chiulesc la biblioteca pentru a citi la bioetică&#8230;primul seminar făcea ochi. Citesc aceeaşi propoziţie de 10 ori înainte de a trece la următoarea pagină. Încep a mă foi nemernic. Observ inabilitatea colegii mele Andra de a şopţi. Încep a mă juca cu mucii din serveţel. Mă ridic brusc să îmi caut o carte de psihiatrie. Încep a mă plimba frenetic printre rafturi căutând eticheta &#8220;mw&#8221; dată secţiunii de psihiatrie. Mă opresc, îmi suflu nasu&#8217;..mai fac o excursie de genu&#8217;. Iar mă opresc, mă observă tante. Mă întreabă ce caut. În impulsul momentului fară a putea opri (word vomit, vorba vine) îmi iese următorul lucru: &#8220;Caut&#8230;secţia de psihiatrie&#8221;. Tante ridică sprâncele de mirare de se pierd în străfundul ridului falnic de pe frunce şi îmi pune mâna pe umăr. Eu realizez şi spun &#8220;ăăă secţiunea de psihiatrie&#8221;. Tante: &#8220;etajul 3 puiu&#8221;. Eu: a.</p>
<p>Mai târziu în aceeaşi joie merg la cercul de neurochirurgie unde am orgasm intelectual şi îmi propun a mă învălui în asta pe viitor. Peste tot îi carantină şi se aude luna plină.</p>
<p>Vreau a încheia seara în &#8220;Memories&#8221; unde îi seară techila. Dai 200 de mii şi e all you can drink. Noah intrăm şi ne bine primeşte un val de scări roşii. Andreuţa coboară felinic iar eu încerc a repeta, totuşi uit replicile la ultima scară de cad şi îmi luxez chicioru&#8217; dragu de el. Da, acuma am piciorul luxat în existenţă. Întrucât am tras pe gâtlej barbaric techila, am uitat de durere şi am început să îndraznesc excursii până la baie, ba chiar uşoare ţopăieli. La bar începuse să bată vântu deoarece gâtleju&#8217; nimănui nu mai suporta, alţii ne-au spus poveşti stomacale prin băi iar eu mă simţeam sublimă şi mergeam pe picioru&#8217; olog cu înviorare.</p>
<p><strong>vineri</strong>- a fost ieri, toată ziua. Ieri am ologit.</p>
<p><strong>sâmbătă</strong> e azi.</p>
<p>*<a href="http://www.youtube.com/watch?v=LHY8NKj3RKs">minesweeper ecranizat aicilea</a></p>
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<title><![CDATA[SCIE 4101 Review Packet #4 Answers]]></title>
<link>http://mathblog.wordpress.com/2009/11/02/scie-4101-review-packet-3a-answers/</link>
<pubDate>Mon, 02 Nov 2009 16:09:31 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/11/02/scie-4101-review-packet-3a-answers/</guid>
<description><![CDATA[Here are the answers for the other review packet I handed out on Thursday, 10/29. The quiz over this]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Here are the answers for the <a href='http://mathblog.wordpress.com/files/2009/11/img002.pdf'>other review packet</a> I handed out on Thursday, 10/29.  The quiz over this packet will be on 11/12.</p>
<table>
<tr>
<td>14. B (1 sq. yard = 9 sq. feet)</td>
<td>15. B <img src='http://l.wordpress.com/latex.php?latex=%28%5Cfrac%7B180-176%7D%7B180%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(\frac{180-176}{180})' title='(\frac{180-176}{180})' class='latex' /></td>
</tr>
<tr>
<td>16. B</td>
<td>17. D</td>
</tr>
<tr>
<td>12. G</td>
<td>13. B</td>
</tr>
<tr>
<td>14. H</td>
<td>1. B</td>
</tr>
<tr>
<td>54. H</td>
<td>30. H <img src='http://l.wordpress.com/latex.php?latex=%28%5Ctan+30%5Ctextdegree%3D%5Cfrac%7B2400%7D%7Bx%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(\tan 30\textdegree=\frac{2400}{x})' title='(\tan 30\textdegree=\frac{2400}{x})' class='latex' /></td>
</tr>
<tr>
<td>24. G</td>
<td>4?. G <img src='http://l.wordpress.com/latex.php?latex=%28S%3D%5Cfrac%7B120%7D%7B360%7D%5Cpi+36%5E2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(S=\frac{120}{360}\pi 36^2)' title='(S=\frac{120}{360}\pi 36^2)' class='latex' /></td>
</tr>
<tr>
<td>39. D (<img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B5280%7D%7B15840%7D%3D%5Cfrac%7B6600%7D%7B6600%2Bx%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{5280}{15840}=\frac{6600}{6600+x})' title='\frac{5280}{15840}=\frac{6600}{6600+x})' class='latex' /></td>
<td>27. D <img src='http://l.wordpress.com/latex.php?latex=%28%5Coverline%7BAB%7D+%5Cparallel+%5Coverline%7BCD%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(\overline{AB} \parallel \overline{CD}' title='(\overline{AB} \parallel \overline{CD}' class='latex' />; <img src='http://l.wordpress.com/latex.php?latex=y-2%3D-%5Cfrac%7B4%7D%7B3%7D%28x-5%29%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y-2=-\frac{4}{3}(x-5))' title='y-2=-\frac{4}{3}(x-5))' class='latex' /></td>
</tr>
<tr>
<td>33. A <img src='http://l.wordpress.com/latex.php?latex=%28%5Cfrac%7B3%5Cpi+%2B+7%5Cpi%7D%7B16%5Cpi%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(\frac{3\pi + 7\pi}{16\pi})' title='(\frac{3\pi + 7\pi}{16\pi})' class='latex' /></td>
<td>28. B (angle is bisected)</td>
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<title><![CDATA[Relief.]]></title>
<link>http://bigcharvey.wordpress.com/2009/10/30/relief/</link>
<pubDate>Fri, 30 Oct 2009 15:10:52 +0000</pubDate>
<dc:creator>collinharvey</dc:creator>
<guid>http://bigcharvey.wordpress.com/2009/10/30/relief/</guid>
<description><![CDATA[Well, thank God that&#8217;s over with. The Archaeology test I&#8217;ve been sweating over has been ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Well, thank God that&#8217;s over with.  The Archaeology test I&#8217;ve been sweating over has been vanquished.  I think I did a pretty darn good job on it, so hopefully the good doctor will see it the same way.</p>
<p>Big weekend ahead!  Jenn and I are going to register at Home Depot, which will be our last one on the list.  After that, we&#8217;re gonna go eat with Misty and then take a look at some furniture at the furniture store over in the Highlands.  What is it, Ethan Allen?  The one by PF Chang&#8217;s, whatever it is.  Anyway, tomorrow is All Hallow&#8217;s Eve.  Along with the el cheapo masquerade we&#8217;re gonna enjoy with the fam and some friends tomorrow night, I&#8217;ve volunteered my car as part of the church&#8217;s Trunk or Treat party tomorrow afternoon.  If you&#8217;ve never heard of this, basically church members line up their cars in the parking lot, decorate &#8216;em all spiffy, and the kids go around trickrtreatin&#8217; for candy from the trunks.  It&#8217;s meant to be a super-safe way for the kiddos to enjoy Halloween without worrying about evil folks out there in the world.  Should be a lot of fun.  I heard through the grapevine that everyone&#8217;s doing a fall/harvest theme with their vehicles.  I&#8217;m like, UM WUT!?  I&#8217;m so turning the trunk of my car into a monster mouth.  Rawr!  Happy Halloween!</p>
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<title><![CDATA[Save me, Friday.]]></title>
<link>http://bigcharvey.wordpress.com/2009/10/29/save-me-friday/</link>
<pubDate>Thu, 29 Oct 2009 13:23:14 +0000</pubDate>
<dc:creator>collinharvey</dc:creator>
<guid>http://bigcharvey.wordpress.com/2009/10/29/save-me-friday/</guid>
<description><![CDATA[Had a meeting yesterday all morning at the PDC. Between that and having trouble registering for my S]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Had a meeting yesterday all morning at the PDC.  Between that and having trouble registering for my Spring classes, I obviously ran out of time and wasn&#8217;t able to blog.  Sorry about that.  <img src='http://s.wordpress.com/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' /> </p>
<p>I have an exam today in Archaeology, a class that I&#8217;m actually not doing well in at all.  I&#8217;ve been studying a lot, and I have a nice list of definitions to study all day today, or at least as much as I possibly can.  There&#8217;s most likely going to be some interruptions&#8230; there pretty much always is when I&#8217;m really needing to do some studying during the day.  I guess that&#8217;s what&#8217;s gonna happen when you try to do this sort of thing during your down time at work.  Duh.</p>
<p>This weekend&#8217;s the Halloween party.  I&#8217;m considerably more excited than I was a couple days ago, because Jenn decided to buy us masks.  We were struggling with figuring out what to do, because we didn&#8217;t really want to spend a lot of money on Halloween this year.  But Jenn was able to buy our masks for a grand total of less than 10 bucks, which is awesome.  Still not entirely sure what I&#8217;ll be wearing with it.  I might go for a slight twist on an old-timey gangster, complete with a &#8220;tommy gun,&#8221; but we&#8217;ll see what I decide to do.  It&#8217;s supposed to be nice and cool that evening, so I&#8217;ll be comfortable wearing long sleeves for once.  <img src='http://s.wordpress.com/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' /> </p>
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<title><![CDATA[Pause &amp; Pray 10/29/09]]></title>
<link>http://texasbsm.wordpress.com/2009/10/29/pause-pray-102909/</link>
<pubDate>Thu, 29 Oct 2009 10:00:02 +0000</pubDate>
<dc:creator>becky</dc:creator>
<guid>http://texasbsm.wordpress.com/2009/10/29/pause-pray-102909/</guid>
<description><![CDATA[This is an invitation to pray, a call to pray, and a plea to pray&#8230;would you be willing to Paus]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><h3><a href="http://texasbsm.files.wordpress.com/2009/02/pauseprayheader2.png"><img title="Pause &#38; Pray" src="http://texasbsm.wordpress.com/files/2009/02/pauseprayheader2.png" alt="Pause &#38; Pray" width="450" height="97" /></a></h3>
<h4>This is an invitation to pray, a call to pray, and a plea to pray&#8230;would you be willing to Pause &#38; Pray every Thursday for Texas campuses, students, and BSM staff?</h4>
<h2>Focus Hope Weekend &#8211; UMHB:</h2>
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<div>The University of Mary-Hardin Baylor BSM invited two organizations to partner with them to provide a special event for the Miller Heights community.  Miller Heights Baptist Church and Hope for the Hungry have an on-going outreach to this neighborhood.  They wanted to enhance their work and provide a setting where they were able to focus on relationships with children and families.</div>
<div>The Miller Heights Baptist youth group members paired up with members of the UMHB softball team to do neighborhood trash pick-up and to personally invite families to have lunch and play games with the UMHB BSM.  They had enough students (including students participating in the upcoming Miss UMHB Pageant) that they could offer a high level of individual attention to their younger guests (and some of the older ones, too).  The youth minister from MHBC shared about the good news of Jesus and several children picked up Bibles for their families.  There was enough food to have and to share, and they played and played!</div>
<div>Jena Coulson, Campus Missionary at UMHB reflects on the impact of the Focus Hope Weekend.<br />
&#8220;Students left thinking, &#8216;WOW! What a day! We got to make a difference in the lives of some neighborhood children.&#8217; My hope is the impact would be rooted much deeper in the fact that choosing to make a difference for Christ is more than a one day event. I hope they realize, they can chose to a lifestyle of making a difference,&#8221; Coulson said.</div>
<div><span style="color:#854532;"><strong>Pausing &#38; Praying with you,</strong></span></div>
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<div><span style="color:#3366ff;">Texas Collegiate Ministry Team</span></div>
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<h2>Ways to Pray:</h2>
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<li>Praise the Lord that multiple groups on the UMHB campus along with groups in the community were able to work together in order to share Christ with the Belton community.</li>
<li>Ask that students who participated would see a that making a difference is an everyday choice and that they would chose a lifestyle that honors Christ.</li>
<li>God is at Work:
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<li>Please pray for “S” to come to know and worship Christ.</li>
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<h2>Ways to Pray for Christi Brazile:</h2>
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<li>Please pray for lost students to come to Christ.  In previous semesters, this has been around the time when students will begin to make decision for Christ.</li>
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<h2>Staff Spotlight</h2>
<h2><img class="alignleft" title="Christi Brazile" src="http://origin.ih.constantcontact.com/fs038/1011165965438/img/478.jpg" alt="" width="148" height="228" /></h2>
<h2>Christi Brazile</h2>
<p>Campus: <strong>Associate Director at UT Arlington</strong><br />
Family: <strong>My parents are Larry and Joella Brazile, and I am the oldest of four kids.</strong></p>
<p>Three words to describe me would be…  <strong>easy-going, health-nut, triathlete</strong><br />
I do my best thinking…  <strong>when I have a friend helping me think through things.</strong><br />
My favorite coffee house drink is…  <strong>regular coffee with skim milk.</strong><br />
I always smile when I… <strong>see the students smile. I love my job.</strong><br />
My dream vacation would… <strong>be Hawaii.</strong><br />
The last book I read was… <strong>Strengths Based Leadership by Tom Rath</strong><br />
You ought to see… <strong>the UTA BSM leadership team reaching out to the campus with passion and commitment.  I’m so proud of the team.</strong><br />
It’s hard to believe, but… <strong>you can buy 400 tacos for just about $200 from Taco Bell.</strong><br />
I have seen God work this semester by… <strong>seeing a student come to Christ at our Fall Retreat.</strong><br />
When I am cruising in my car, I’m usually listening to… <strong>XM Radio.</strong><br />
If you ask me, there could never be enough… <strong>hours in the day.</strong><br />
You’ll never catch me eating… <strong>too many things to list. I’m the pickiest eater around.</strong><br />
In my spare time, you’ll find me… <strong>swimming, biking, running, or shopping.</strong><br />
When it comes to movies, my all –time favorite is… <strong>Annie</strong><br />
The one thing I won’t leave home without is… <strong>sunscreen on my face.</strong><br />
I do what I do because… <strong>of the very generous support of our churches, friends and family.</strong></p>
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<h3>Check out past Pause &#38; Pray Spotlight Staff Members <a title="Past Spotlight" href="http://texasbsm.wordpress.com/pause-pray/spotlight-staff-member/" target="_blank">HERE</a>!</h3>
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<title><![CDATA[SCIE 4101 Review Packet #3 Answers]]></title>
<link>http://mathblog.wordpress.com/2009/10/28/scie-4101-review-packet-3-answers/</link>
<pubDate>Wed, 28 Oct 2009 23:03:52 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/10/28/scie-4101-review-packet-3-answers/</guid>
<description><![CDATA[Assume perimeter is in , area is in , and volume is in unless stated otherwise. 1a. To find the leng]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Assume perimeter is in <img src='http://l.wordpress.com/latex.php?latex=%5Cmathrm%7Bunits%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathrm{units}' title='\mathrm{units}' class='latex' />, area is in <img src='http://l.wordpress.com/latex.php?latex=%5Cmathrm%7Bunits%5E2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathrm{units^2}' title='\mathrm{units^2}' class='latex' />, and volume is in <img src='http://l.wordpress.com/latex.php?latex=%5Cmathrm%7Bunits%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathrm{units^3}' title='\mathrm{units^3}' class='latex' /> unless stated otherwise.</p>
<p>1a. To find the length, use the Pythagorean Theorem (<img src='http://l.wordpress.com/latex.php?latex=a%5E2%2Bb%5E2%3Dc%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a^2+b^2=c^2' title='a^2+b^2=c^2' class='latex' />):  <img src='http://l.wordpress.com/latex.php?latex=5%5E2%2Bb%5E2%3D13%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='5^2+b^2=13^2' title='5^2+b^2=13^2' class='latex' />, which means that the length is 12.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=P%3D2l%2B2w%3D2%2812%29%2B2%285%29%3D34&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P=2l+2w=2(12)+2(5)=34' title='P=2l+2w=2(12)+2(5)=34' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=A%3Dbh%3D%2812%29%285%29%3D60&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A=bh=(12)(5)=60' title='A=bh=(12)(5)=60' class='latex' /></td>
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<p>1b. Using the Pyth. Theorem as before, we have <img src='http://l.wordpress.com/latex.php?latex=2a%5E2%3D%2860%5Csqrt%7B2%7D%29%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2a^2=(60\sqrt{2})^2' title='2a^2=(60\sqrt{2})^2' class='latex' />, which works out to <img src='http://l.wordpress.com/latex.php?latex=a%3D60&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a=60' title='a=60' class='latex' />.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=P%3D60%2B60%2B60%5Csqrt%7B2%7D%3D120%2B60%5Csqrt%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P=60+60+60\sqrt{2}=120+60\sqrt{2}' title='P=60+60+60\sqrt{2}=120+60\sqrt{2}' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=A%3D%5Cfrac%7B1%7D%7B2%7Dbh%3D%5Cfrac%7B1%7D%7B2%7D%2860%29%2860%29%3D1800&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A=\frac{1}{2}bh=\frac{1}{2}(60)(60)=1800' title='A=\frac{1}{2}bh=\frac{1}{2}(60)(60)=1800' class='latex' /></td>
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<p>2a.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=C%3D2+%5Cpi+r%3D2%2816%29%5Cpi%3D32%5Cpi+%5Capprox+100.53&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='C=2 \pi r=2(16)\pi=32\pi \approx 100.53' title='C=2 \pi r=2(16)\pi=32\pi \approx 100.53' class='latex' /></td>
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<td> <img src='http://l.wordpress.com/latex.php?latex=A%3D%5Cpi+r%5E2%3D256%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A=\pi r^2=256\pi' title='A=\pi r^2=256\pi' class='latex' /></td>
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<p>2b.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=C%3D%5Cpi+d%3D21%5Cpi+%5Capprox+65.97&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='C=\pi d=21\pi \approx 65.97' title='C=\pi d=21\pi \approx 65.97' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=A%3D%5Cpi%2810.5%29%5E2%3D110.25%5Cpi+%5Capprox+346.36&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A=\pi(10.5)^2=110.25\pi \approx 346.36' title='A=\pi(10.5)^2=110.25\pi \approx 346.36' class='latex' /></td>
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<p>3a. Since the perimeter is 64 and we know two sides are 25, we know that the third side is 14.  Half of that is the short leg of a right triangle, so we can use the Pyth. Theorem to solve for <i>x</i>: <img src='http://l.wordpress.com/latex.php?latex=7%5E2%2Bx%5E2%3D25%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='7^2+x^2=25^2' title='7^2+x^2=25^2' class='latex' />, which means that <img src='http://l.wordpress.com/latex.php?latex=x%3D24&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=24' title='x=24' class='latex' />.</p>
<p>3b.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=%28x%2B4%29%28x-10%29%3D240&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x+4)(x-10)=240' title='(x+4)(x-10)=240' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=x%5E2-6x-40%3D240&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2-6x-40=240' title='x^2-6x-40=240' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=x%5E2-6x-280%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2-6x-280=0' title='x^2-6x-280=0' class='latex' /></td>
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<td>Factoring<br /><img src='http://l.wordpress.com/latex.php?latex=%28x-20%29%28x%2B14%29%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x-20)(x+14)=0' title='(x-20)(x+14)=0' class='latex' /></td>
<td>Quadratic Formula<br /><img src='http://l.wordpress.com/latex.php?latex=x%3D%5Cfrac%7B6+%5Cpm+%5Csqrt%7B%28-6%29%5E2-4%281%29%28-280%29%7D%7D%7B2%281%29%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=\frac{6 \pm \sqrt{(-6)^2-4(1)(-280)}}{2(1)}' title='x=\frac{6 \pm \sqrt{(-6)^2-4(1)(-280)}}{2(1)}' class='latex' /></td>
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<td></td>
<td><img src='http://l.wordpress.com/latex.php?latex=x%3D%5Cfrac%7B6+%5Cpm+%5Csqrt%7B1156%7D%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=\frac{6 \pm \sqrt{1156}}{2}' title='x=\frac{6 \pm \sqrt{1156}}{2}' class='latex' /></td>
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<td></td>
<td><img src='http://l.wordpress.com/latex.php?latex=x%3D3+%5Cpm+17&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=3 \pm 17' title='x=3 \pm 17' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=x%3D20%2C-14&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=20,-14' title='x=20,-14' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=x%3D20%2C-14&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=20,-14' title='x=20,-14' class='latex' /></td>
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<p>(It pays to remember how to factor!)<br />
3c.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=%5Cpi+r%5E2%3D121%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\pi r^2=121\pi' title='\pi r^2=121\pi' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=r%3D11%5C+%5CRightarrow+%5C+y%3D2r%3D22&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='r=11\ \Rightarrow \ y=2r=22' title='r=11\ \Rightarrow \ y=2r=22' class='latex' /></td>
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<p>3d. There are actually two different ways to work this.  </p>
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<th>Method #1</th>
<th>Method #2</th>
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<td>Divide the trapezoid into a rectangle flanked by two right triangles.  This means that the longer base can be broken up into three lengths: 3, 9, and 3, and the right triangles have one leg that is 3 and a hypotenuse of 5, and the height is the other leg.<br />
<img src='http://l.wordpress.com/latex.php?latex=3%5E2%2Bh%5E2%3D5%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3^2+h^2=5^2' title='3^2+h^2=5^2' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=h%3D4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h=4' title='h=4' class='latex' /></td>
<td><img src='http://l.wordpress.com/latex.php?latex=A%3D%5Cfrac%7B1%7D%7B2%7Dh%28b_1%2Bb_2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A=\frac{1}{2}h(b_1+b_2)' title='A=\frac{1}{2}h(b_1+b_2)' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=48%3D%5Cfrac%7B1%7D%7B2%7Dh%289%2B15%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='48=\frac{1}{2}h(9+15)' title='48=\frac{1}{2}h(9+15)' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=48%3D%5Cfrac%7B1%7D%7B2%7D%2824%29h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='48=\frac{1}{2}(24)h' title='48=\frac{1}{2}(24)h' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=48%3D12h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='48=12h' title='48=12h' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=h%3D4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h=4' title='h=4' class='latex' /></td>
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<p>4a. <img src='http://l.wordpress.com/latex.php?latex=S%3DPh%2B2B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=Ph+2B' title='S=Ph+2B' class='latex' /> (<img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' /> is the perimeter of the base, <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' /> is the height of the prism, and <img src='http://l.wordpress.com/latex.php?latex=B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='B' title='B' class='latex' /> is the area of the base.)</p>
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<td><img src='http://l.wordpress.com/latex.php?latex=S%3D%5B2%2820%29%2B2%288%29%5D%2812%29%2B2%2820%29%288%29%3D992&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=[2(20)+2(8)](12)+2(20)(8)=992' title='S=[2(20)+2(8)](12)+2(20)(8)=992' class='latex' /></td>
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<p>Notice that if we selected the other rectangle as our base, we&#8217;d still get the same answer:<br />
<img src='http://l.wordpress.com/latex.php?latex=S%3D%5B2%288%29%2B2%2812%29%5D%2820%29%2B2%288%29%2812%29%3D992&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=[2(8)+2(12)](20)+2(8)(12)=992' title='S=[2(8)+2(12)](20)+2(8)(12)=992' class='latex' /></td>
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<p><img src='http://l.wordpress.com/latex.php?latex=V%3DBh&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=Bh' title='V=Bh' class='latex' /></p>
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<td><img src='http://l.wordpress.com/latex.php?latex=V%3D%5B%288%29%2820%29%5D%2812%29%3D1920&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=[(8)(20)](12)=1920' title='V=[(8)(20)](12)=1920' class='latex' /></td>
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<p>Again, it doesn&#8217;t matter which rectangle we select as our base.<br />
4b. The formula for the surface area of a cylinder is <img src='http://l.wordpress.com/latex.php?latex=S%3DCh%2B2%5Cpi+r%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=Ch+2\pi r^2' title='S=Ch+2\pi r^2' class='latex' />.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=S%3D%288%5Cpi%29%289%29%2B2%5Cpi%284%5E2%29%3D72%5Cpi%2B32%5Cpi%3D104%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=(8\pi)(9)+2\pi(4^2)=72\pi+32\pi=104\pi' title='S=(8\pi)(9)+2\pi(4^2)=72\pi+32\pi=104\pi' class='latex' />.</td>
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</table>
<p>The volume of a cylinder is the same as a prism: <img src='http://l.wordpress.com/latex.php?latex=V%3DBh&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=Bh' title='V=Bh' class='latex' />, where <img src='http://l.wordpress.com/latex.php?latex=B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='B' title='B' class='latex' /> is the area of the base, in this case a circle.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cpi%284%5E2%29%289%29%3D144%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\pi(4^2)(9)=144\pi' title='V=\pi(4^2)(9)=144\pi' class='latex' /></td>
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<p>4c.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=S%3D4%5Cpi+r%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=4\pi r^2' title='S=4\pi r^2' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=S%3D4%5Cpi+%288%5E2%29%3D256%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=4\pi (8^2)=256\pi' title='S=4\pi (8^2)=256\pi' class='latex' /></td>
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<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi+r%5E3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{4}{3}\pi r^3' title='V=\frac{4}{3}\pi r^3' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%288%5E3%29%3D%5Cfrac%7B2048%5Cpi%7D%7B3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{4}{3}\pi(8^3)=\frac{2048\pi}{3}' title='V=\frac{4}{3}\pi(8^3)=\frac{2048\pi}{3}' class='latex' /></td>
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<p>4d. To find the surface area of a pyramid, you must have the &#8220;slant height&#8221; (<img src='http://l.wordpress.com/latex.php?latex=l&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='l' title='l' class='latex' />).  To find the slant height of this pyramid, look at the right triangle created by the height, half the base, and the lateral face.  <img src='http://l.wordpress.com/latex.php?latex=8%5E2%2B6%5E2%3Dl%5E2%5C+%5CRightarrow+%5C+l%3D10&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='8^2+6^2=l^2\ \Rightarrow \ l=10' title='8^2+6^2=l^2\ \Rightarrow \ l=10' class='latex' /><br />
<table>
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<td><img src='http://l.wordpress.com/latex.php?latex=S%3D%5Cfrac%7B1%7D%7B2%7D%284%29%2812%29%2810%29%2B12%5E2%3D384&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=\frac{1}{2}(4)(12)(10)+12^2=384' title='S=\frac{1}{2}(4)(12)(10)+12^2=384' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B1%7D%7B3%7D%2812%5E2%29%288%29%3D384&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{1}{3}(12^2)(8)=384' title='V=\frac{1}{3}(12^2)(8)=384' class='latex' /></td>
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<p>  Remember, even thought the two numbers are the same, one represents surface area (square units) and the other volume (cubic units).</p>
<p>5. An interior angle of a regular polygon is found using the formula <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B%28n-2%29%28180%29%7D%7Bn%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{(n-2)(180)}{n}' title='\frac{(n-2)(180)}{n}' class='latex' />, where <img src='http://l.wordpress.com/latex.php?latex=n&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n' title='n' class='latex' /> is the number of sides.<br />
a.  For a regular hexagon, each interior angle is <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B4%28180%29%7D%7B6%7D%3D120%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{4(180)}{6}=120\textdegree' title='\frac{4(180)}{6}=120\textdegree' class='latex' />.<br />
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<td><img src='http://l.wordpress.com/latex.php?latex=7x%2B15%3D120&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='7x+15=120' title='7x+15=120' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=7x%3D105&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='7x=105' title='7x=105' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=x%3D15&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=15' title='x=15' class='latex' /></td>
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<p>b.  For a regular pentagon, each interior angle is <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B3%28180%29%7D%7B5%7D%3D108%5Ctextdegree&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{3(180)}{5}=108\textdegree' title='\frac{3(180)}{5}=108\textdegree' class='latex' />.<br />
<table>
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<td><img src='http://l.wordpress.com/latex.php?latex=x%5E2-3x%3D54&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2-3x=54' title='x^2-3x=54' class='latex' /> (angle is half of 108&#176;)<br />
<img src='http://l.wordpress.com/latex.php?latex=x%5E2-3x-54%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2-3x-54=0' title='x^2-3x-54=0' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%28x-9%29%28x%2B6%29%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x-9)(x+6)=0' title='(x-9)(x+6)=0' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=x%3D9%2C-6&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=9,-6' title='x=9,-6' class='latex' /></td>
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<p>6. If all the dimensions are doubled, the surface area will increase by a factor of 2<sup>2</sup>, or 4.  The volume will increase by a factor of 2<sup>3</sup>, or 8.<br />
<table>
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<td><img src='http://l.wordpress.com/latex.php?latex=S%3D%28150%29%284%29%3D600%5C+%5Cmathrm%7Bcm%5E2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S=(150)(4)=600\ \mathrm{cm^2}' title='S=(150)(4)=600\ \mathrm{cm^2}' class='latex' /></td>
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<td><img src='http://l.wordpress.com/latex.php?latex=V%3D%28225%29%288%29%3D1800%5C+%5Cmathrm%7Bcm%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=(225)(8)=1800\ \mathrm{cm^3}' title='V=(225)(8)=1800\ \mathrm{cm^3}' class='latex' /></td>
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<p>7.<br />
<table>
<tr>
<td><img src='http://l.wordpress.com/latex.php?latex=4%5Cpi+r%5E2%3D180%5Cpi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='4\pi r^2=180\pi' title='4\pi r^2=180\pi' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=r%5E2%3D%5Cfrac%7B180%5Cpi%7D%7B4%5Cpi%7D%3D45&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='r^2=\frac{180\pi}{4\pi}=45' title='r^2=\frac{180\pi}{4\pi}=45' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=r%3D%5Csqrt%7B45%7D%3D3%5Csqrt%7B5%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='r=\sqrt{45}=3\sqrt{5}' title='r=\sqrt{45}=3\sqrt{5}' class='latex' /></p>
<p><img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28%5Csqrt%7B45%7D%29%5E3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{4}{3}\pi(\sqrt{45})^3' title='V=\frac{4}{3}\pi(\sqrt{45})^3' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%2845%5Csqrt%7B45%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{4}{3}\pi(45\sqrt{45})' title='V=\frac{4}{3}\pi(45\sqrt{45})' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28135%5Csqrt%7B5%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=\frac{4}{3}\pi(135\sqrt{5})' title='V=\frac{4}{3}\pi(135\sqrt{5})' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=V%3D180%5Csqrt%7B5%7D%5Cpi%5C+%5Cmathrm%7Bm%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='V=180\sqrt{5}\pi\ \mathrm{m^3}' title='V=180\sqrt{5}\pi\ \mathrm{m^3}' class='latex' /></td>
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<title><![CDATA[SCIE 4101 Review Packet #3]]></title>
<link>http://mathblog.wordpress.com/2009/10/28/scie-4101-review-packet-3/</link>
<pubDate>Wed, 28 Oct 2009 05:11:26 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/10/28/scie-4101-review-packet-3/</guid>
<description><![CDATA[Math Review Packet 3 I will try to post the answers for this on Wednesday.]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href='http://mathblog.wordpress.com/files/2009/10/review-packet-3.doc'>Math Review Packet 3</a></p>
<p>I will try to post the answers for this on Wednesday.</p>
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<title><![CDATA[we are ninja!]]></title>
<link>http://roadwaffle.wordpress.com/2009/10/28/we-are-ninja/</link>
<pubDate>Tue, 27 Oct 2009 22:40:43 +0000</pubDate>
<dc:creator>annika</dc:creator>
<guid>http://roadwaffle.wordpress.com/2009/10/28/we-are-ninja/</guid>
<description><![CDATA[Totally my new themesong! xD I BEAT UP ALLIGATORS! (yeah, just click the screen to watch it on youtu]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:center;"><span style='text-align:center; display: block;'><object width='425' height='350'><param name='movie' value='http://www.youtube.com/v/cXZanbZ6PWs&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' /><param name='allowfullscreen' value='true' /><param name='wmode' value='transparent' /><embed src='http://www.youtube.com/v/cXZanbZ6PWs&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' type='application/x-shockwave-flash' allowfullscreen='true' width='425' height='350' wmode='transparent'></embed></object></span></p>
<p style="text-align:center;">Totally my new themesong! xD</p>
<p style="text-align:center;">I BEAT UP ALLIGATORS!</p>
<p style="text-align:left;">(yeah, just click the screen to watch it on youtube&#8230;)</p>
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<title><![CDATA[Toxic Train is ‘Unstoppable’]]></title>
<link>http://goremasternews.wordpress.com/2009/10/24/toxic-train-is-%e2%80%98unstoppable%e2%80%99/</link>
<pubDate>Sat, 24 Oct 2009 15:58:23 +0000</pubDate>
<dc:creator>goremasterfx</dc:creator>
<guid>http://goremasternews.wordpress.com/2009/10/24/toxic-train-is-%e2%80%98unstoppable%e2%80%99/</guid>
<description><![CDATA[Jessy Schram From The Hollywood Reporter Jessy Schram and Kevin Dunn are on board for Fox&#8217;s ac]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><div id="attachment_6637" class="wp-caption alignleft" style="width: 233px"><img class="size-medium wp-image-6637" title="Jessy Schram" src="http://goremasternews.wordpress.com/files/2009/10/jessy-schram.jpg?w=223" alt="Jessy Schram " width="223" height="300" /><p class="wp-caption-text">Jessy Schram </p></div>
<p>From The Hollywood Reporter</p>
<p>Jessy Schram and Kevin Dunn are on board for Fox&#8217;s action drama &#8220;Unstoppable,&#8221; joining Denzel Washington, Chris Pine and Rosario Dawson.</p>
<p>Tony Scott is directing the Mark Bomback-scripted film about the desperate efforts of a veteran engineer and novice conductor to stop a train laden with toxic cargo speeding out of control toward a nearby city.</p>
<p>Schram will play the estranged wife of Pine&#8217;s character. Dawson will take on the role of a train dispatcher helping the men via radio, and Dunn will play her boss.</p>
<p>Julie Yorn is producing with Scott and Mimi Rogers; Chris Ciaffa is an executive producer.</p>
<p>The project is scheduled to begin production in the fall in Pittsburgh.</p>
<p>Schram, repped by UTA and Kritzer Levine Wilkins Griffin Entertainment, had recurring roles on NBC&#8217;s &#8220;Life&#8221; and the CW&#8217;s &#8220;Veronica Mars.</p>
<div id="attachment_6638" class="wp-caption aligncenter" style="width: 232px"><img class="size-medium wp-image-6638" title="Rosario Dawson" src="http://goremasternews.wordpress.com/files/2009/10/rosario-dawson.jpg?w=222" alt="Rosario Dawson" width="222" height="300" /><p class="wp-caption-text">Rosario Dawson</p></div>
<div id="attachment_6634" class="wp-caption aligncenter" style="width: 310px"><a href="http://www.amazon.com/b?_encoding=UTF8&#38;site-redirect=&#38;node=130&#38;tag=goremastercom-20&#38;linkCode=ur2&#38;camp=1789&#38;creative=9325"><img class="size-full wp-image-6634" title="amazon-dvd-bestsellers" src="http://goremasternews.wordpress.com/files/2009/10/amazon-dvd-bestsellers51.jpg" alt="Amazon Specials!" width="300" height="250" /></a><p class="wp-caption-text">Amazon Specials!</p></div>
<p><a href="http://www.goremaster.com/"><img class="aligncenter size-full wp-image-6633" title="www.goremaster.com_black" src="http://goremasternews.wordpress.com/files/2009/10/www-goremaster-com_black24.jpg" alt="www.goremaster.com_black" width="468" height="60" /></a></p>
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<title><![CDATA[Screenwriting Tip 11 – Selling Your Screenplay? Who Bought What?]]></title>
<link>http://gideonsway.wordpress.com/2009/10/23/screenwriting-tip-11-%e2%80%93-selling-your-screenplay-who-bought-what/</link>
<pubDate>Sat, 24 Oct 2009 04:03:31 +0000</pubDate>
<dc:creator>JG Sarantinos</dc:creator>
<guid>http://gideonsway.wordpress.com/2009/10/23/screenwriting-tip-11-%e2%80%93-selling-your-screenplay-who-bought-what/</guid>
<description><![CDATA[So you&#8217;ve written your script. What next? Get it out there of course and hopefully make a sale]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>So you&#8217;ve written your script. What next? Get it out there of course and hopefully make a sale.The first rule you need to remember is to educate yourself so your efforts meet the market. Having said that don&#8217;t try to chase the market, but don&#8217;t ignore it either.</p>
<p>Do you know that 50% of movie goers are aged 16 &#8211; 24? Yep, for boys that means &#8220;Transformers&#8221;, for girls that means the &#8220;Ugly Truth&#8221; with a not so ugly lead male.</p>
<p>Then consider the 24 &#8211; 36 year old female audience who go to the movies without men. Think &#8220;Sex In The City&#8221; and &#8220;Mamma Mia&#8221;. Where are the men? Apparently we don&#8217;t go to the movies enough to warrant statistics.</p>
<p>Did you know that studios rely on about 60 &#8211; 70% of their box office from overseas markets?</p>
<p>You may have noticed the dire state of the spec script market lately. A few studios such as Universal and Sony have already used up their development funds for the entire year, or have had them removed to constrain their budgets. Some producers have purchased various projects for six figure amounts from their discretionary funds.</p>
<p><strong>What genres have sold this year (2009) so far?</strong></p>
<ul>
<li>Comedies (31%)</li>
<li>Thriller (27%)</li>
<li>Action (19%)</li>
<li>Drama (11%)</li>
<li>Sci-fi/ Fantasy (6%)</li>
</ul>
<p><strong>How many scripts did key buyers purchase this year (2009) to date?</strong></p>
<ul>
<li>Sony (5)</li>
<li>Universal (5)</li>
<li>Warner Bros (5)</li>
<li>Dreamworks (3)</li>
<li>Paramount (3)</li>
</ul>
<p><strong>Who were the key sellers?</strong></p>
<ul>
<li>CAA (12/ 32 &#8211; 38%)</li>
<li>ICM (7/28 &#8211; 25%)</li>
<li>UTA (10/28 &#8211; 36%)</li>
<li>WMA &#8211; (8/17 &#8211; 47%)</li>
<li>WME &#8211; (2/17 &#8211; 12%)</li>
</ul>
<ul>
<li>Benderspink (3/10 &#8211; 33%) &#8211; Manager</li>
</ul>
<p>These numbers are depressingly low. This means that Endeavour (prior to merging with William Morris) and Gersh sold less than 10 scripts each for the entire year. The other key agencies didn&#8217;t fare much better. However, know that through destruction comes reconstruction, so things will improve in 2010. Why so serious?</p>
<p>Of the 366 overall spec scripts that went out wide, 17 (5%) sold. February, March and May were particularly busy months with 10 scripts sold in each, to non-studio buyers. However, the desert that is the current spec script market has worsened in the second half of the year. Only 2 of the 140 scripts that went out wide sold, one in May and one in June. That&#8217;s a measly 1.4%. So, if your script goes out wide today, don&#8217;t expect a sale. Expect an introduction to create a buzz for yourself.</p>
<p>You know the drill&#8230;</p>
<p>Go forth and write my pretties&#8230; but don&#8217;t expect a sale in 2009.</p>
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<title><![CDATA[Hilferuf]]></title>
<link>http://chaoshoch4.wordpress.com/2009/10/23/hilferuf/</link>
<pubDate>Fri, 23 Oct 2009 12:20:10 +0000</pubDate>
<dc:creator>chaoshoch4</dc:creator>
<guid>http://chaoshoch4.wordpress.com/2009/10/23/hilferuf/</guid>
<description><![CDATA[Wisst Ihr eigentlich wie schwer ich es habe?  Ich bin ja nun tagtäglich den Weibern Frauen der Famil]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Wisst Ihr eigentlich wie schwer ich es habe?</p>
<p> Ich bin ja nun tagtäglich den <span style="text-decoration:line-through;">Weibern</span> Frauen der Familie ausgesetzt. Mein <span style="text-decoration:line-through;">Testosteronpartner</span> Papa verlässt ja schon morgens das Haus (wenn wir noch schlafen) und kommt erst dann wieder wenn wir schon wieder lange zu Hause sind.</p>
<p> Im Großen und Ganzen schlage ich mich wirklich wacker und lasse mich von den Frauen nicht unterkriegen. Zur Not ziehe ich mein cooles Spidermen Kostüm an und lasse alle reden – aber nun hat….</p>
<p> <strong>UTA – hat der Mama eine CD gebrannt!<img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/konfus/p020.gif" border="0" alt="" /></strong></p>
<p> Ich musste ja schon immer jeden Morgen, die Rosenstolz-CD und dazu das Gejaule von Amai<img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/musik/c075.gif" border="0" alt="" /> und Mama <img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/musik/c075.gif" border="0" alt="" />ertragen.</p>
<p> Aber das war immer ein Lieblingslied der Beiden und irgendwann war dann gut – aber nun haben sie eine ganze CD mit diesem Herz/Schmerz-Gejaule und ich muss es mir anhören.<img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/konfus/s010.gif" border="0" alt="" /></p>
<p> Mal abgesehen davon, dass mein Magen und meine Ohren auch eine gewisse Schmerzgrenze haben – wisst ihr, wie peinlich das ist, wenn man morgens  schon in einem Auto gesehen wird, aus dem in voller (kindgerechter) Lautstärke so Lieder wie „Amsterdam“ dröhnen.</p>
<p> Ich habe einen Ruf zu verlieren!!!</p>
<p>Was soll ich nur tun?<img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/konfus/k045.gif" border="0" alt="" /><br />
Kann man eigentlich mit fünf schon alleine zum Kindergarten gehen? Gibt es nicht ein Gesetz dafür?</p>
<p> </p>
<p>Euer Finn<img style="cursor:pointer;" src="http://www.cosgan.de/images/smilie/liebe/a010.gif" border="0" alt="" /></p>
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<title><![CDATA[SCIE 4101 Review Packet #2 Answers]]></title>
<link>http://mathblog.wordpress.com/2009/10/22/scie-4101-review-packet-2-answers/</link>
<pubDate>Fri, 23 Oct 2009 03:27:55 +0000</pubDate>
<dc:creator>Ms. Miller</dc:creator>
<guid>http://mathblog.wordpress.com/2009/10/22/scie-4101-review-packet-2-answers/</guid>
<description><![CDATA[Transformations A transformation is a change in the position, size, or shape of a figure. The origin]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><u>Transformations</u><br />
A transformation is a change in the position, size, or shape of a figure.  The original shape is called the <i>preimage</I>, and the resulting shape is called the <i>image</i>.  There are four types of transformations:</p>
<ul>
<li>Translation (slide) &#8211; all of the coordinates move the same distance in the same direction</li>
<li>Reflection (flip) &#8211; each point and its image are the same distance from the line of reflection</li>
<ul>
<li>Across the x-axis:  the x-coordinate stays the same, the y-coordinate changes sign.  <img src='http://l.wordpress.com/latex.php?latex=%28x%2Cy%29+%5Clongrightarrow+%28x%2C-y%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x,y) \longrightarrow (x,-y)' title='(x,y) \longrightarrow (x,-y)' class='latex' />.</li>
<li>Across the y-axis:  the y-coordinate stays the same, the x-coordinate changes sign.  <img src='http://l.wordpress.com/latex.php?latex=%28x%2Cy%29+%5Clongrightarrow+%28-x%2Cy%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x,y) \longrightarrow (-x,y)' title='(x,y) \longrightarrow (-x,y)' class='latex' /></li>
<li>Across the line <img src='http://l.wordpress.com/latex.php?latex=y%3Dx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=x' title='y=x' class='latex' />:  the coordinates trade places.  <img src='http://l.wordpress.com/latex.php?latex=%28x%2Cy%29+%5Clongrightarrow+%28y%2Cx%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x,y) \longrightarrow (y,x)' title='(x,y) \longrightarrow (y,x)' class='latex' /></li>
</ul>
<li>Rotation (turn) &#8211; each point and its image are the same distance from the point of rotation</li>
<ul>
<li>90&#176; about the origin: <img src='http://l.wordpress.com/latex.php?latex=%28x%2Cy%29+%5Clongrightarrow+%28-y%2Cx%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x,y) \longrightarrow (-y,x)' title='(x,y) \longrightarrow (-y,x)' class='latex' /></li>
<li>180&#176; about the origin: <img src='http://l.wordpress.com/latex.php?latex=%28x%2Cy%29+%5Clongrightarrow+%28-x%2C-y%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x,y) \longrightarrow (-x,-y)' title='(x,y) \longrightarrow (-x,-y)' class='latex' /></li>
</ul>
<li>Dilation (size) &#8211; if centered about the origin, multiply each coordinate by the scale factor</li>
</ul>
<p><u>Linear Functions</u><br />
A function is a rule that is applied to an independent variable.  The most common form of this is called the <i>slope-intercept form</i> of a line: <img src='http://l.wordpress.com/latex.php?latex=y%3Dmx%2Bb&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=mx+b' title='y=mx+b' class='latex' />, where <img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> is the slope and <img src='http://l.wordpress.com/latex.php?latex=b&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b' title='b' class='latex' /> is the y-intercept.  Another form is the <i>point-slope form</i>: <img src='http://l.wordpress.com/latex.php?latex=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y-y_{1}=m(x-x_{1})' title='y-y_{1}=m(x-x_{1})' class='latex' />.</p>
<p>Slope (also called rate of change) is the ratio of the difference in the y-values to the difference in the x-values.</p>
<p><u>Direct and Inverse Variation</u><br />
A related type of function is variation.  Direct variation is a linear equation of the form <img src='http://l.wordpress.com/latex.php?latex=y%3Dkx&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=kx' title='y=kx' class='latex' />:  x and y both increase or both decrease.  Inverse variation is a nonlinear relationship of the form <img src='http://l.wordpress.com/latex.php?latex=y%3D%5Cfrac%7Bk%7D%7Bx%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=\frac{k}{x}' title='y=\frac{k}{x}' class='latex' />:  x and y move in opposite directions.  In both cases, <img src='http://l.wordpress.com/latex.php?latex=k&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k' title='k' class='latex' /> is the constant of variation.</p>
<p><u>Vertical Asymptotes</u><br />
Vertical asymptotes are boundaries on rational functions at points where the function is undefined.  Generally, to find a vertical asymptote, evaluate the denominator of the function to find out where/if it can be equal to zero.  Whenever a function evaluates to <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B0%7D%7B0%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{0}{0}' title='\frac{0}{0}' class='latex' />, you have a &#8220;hole&#8221;.  As the function gets closer and closer to the vertical asymptote, its value becomes more and more extreme.  It does not behave this way around a hole.</p>
<p><u>Discriminants</u><br />
Discriminants are an indicator of whether a quadratic function will have imaginary roots or zeros.  If you&#8217;ll recall, for a quadratic equation of the form <img src='http://l.wordpress.com/latex.php?latex=ax%5Ex%2Bbx%2Bc%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='ax^x+bx+c=0' title='ax^x+bx+c=0' class='latex' />, the quadratic formula is <img src='http://l.wordpress.com/latex.php?latex=x%3D%5Cfrac%7B-b+%5Cpm+%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}' title='x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}' class='latex' />.  The discriminant is the middle part: <img src='http://l.wordpress.com/latex.php?latex=b%5E2-4ac&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b^2-4ac' title='b^2-4ac' class='latex' />.  </p>
<ul>
<li>If this is less than zero, then the equation will have imaginary roots, and the graph does not cross the x-axis.</li>
<li>If it is equal to zero, the equation will have one solution, which is where the graph touches the x-axis.</li>
<li>If it is greater than zero, the equation will have two real roots, where the graph crosses the x-axis.</li>
</ul>
<p>Answers</p>
<table>
<tr>
<td>1. <img src='http://l.wordpress.com/latex.php?latex=U%27%28-2%2C1%29%2C+T%27%282%2C-4%29%2CA%27%283%2C1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='U&#039;(-2,1), T&#039;(2,-4),A&#039;(3,1)' title='U&#039;(-2,1), T&#039;(2,-4),A&#039;(3,1)' class='latex' />; <img src='http://l.wordpress.com/latex.php?latex=U%27%282%2C-1%29%2C+T%27%28-2%2C4%29%2C+A%27%28-3%2C-1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='U&#039;(2,-1), T&#039;(-2,4), A&#039;(-3,-1)' title='U&#039;(2,-1), T&#039;(-2,4), A&#039;(-3,-1)' class='latex' /></td>
</tr>
<tr>
<td>2. <img src='http://l.wordpress.com/latex.php?latex=H%27%285%2C2%29%2C+A%27%288%2C-1%29%2C+N%27%286%2C-11%29%2C+D%27%282%2C-3%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='H&#039;(5,2), A&#039;(8,-1), N&#039;(6,-11), D&#039;(2,-3)' title='H&#039;(5,2), A&#039;(8,-1), N&#039;(6,-11), D&#039;(2,-3)' class='latex' /></td>
</tr>
<tr>
<td>3. <img src='http://l.wordpress.com/latex.php?latex=M%27%28-3%2C2%5Cfrac%7B1%7D%7B2%7D%29%2C+A%27%284%2C-2%5Cfrac%7B1%7D%7B2%7D%29%2C+V%27%28-3%2C-2%5Cfrac%7B1%7D%7B2%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='M&#039;(-3,2\frac{1}{2}), A&#039;(4,-2\frac{1}{2}), V&#039;(-3,-2\frac{1}{2})' title='M&#039;(-3,2\frac{1}{2}), A&#039;(4,-2\frac{1}{2}), V&#039;(-3,-2\frac{1}{2})' class='latex' /></td>
</tr>
<tr>
<td>4. <img src='http://l.wordpress.com/latex.php?latex=M%27%28-5%2C-6%29%2C+A%27%285%2C8%29%2C+V%27%285%2C-6%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='M&#039;(-5,-6), A&#039;(5,8), V&#039;(5,-6)' title='M&#039;(-5,-6), A&#039;(5,8), V&#039;(5,-6)' class='latex' /></td>
</tr>
</table>
<table>
<tr>
<td>5. <img src='http://l.wordpress.com/latex.php?latex=5n-2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='5n-2' title='5n-2' class='latex' /></td>
<td>6. <img src='http://l.wordpress.com/latex.php?latex=y%3D4x-3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=4x-3' title='y=4x-3' class='latex' /></td>
</tr>
<tr>
<td>7. <img src='http://l.wordpress.com/latex.php?latex=%7B0%2C1%2C4%2C5%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='{0,1,4,5}' title='{0,1,4,5}' class='latex' /></td>
<td>8. <img src='http://l.wordpress.com/latex.php?latex=6350&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='6350' title='6350' class='latex' /></td>
</tr>
<tr>
<td>9. <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7Bx%5E2-ax%7D%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{x^2-ax}{2}' title='\frac{x^2-ax}{2}' class='latex' /></td>
<td>10. <img src='http://l.wordpress.com/latex.php?latex=y%5Cgeqslant+2x-3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y\geqslant 2x-3' title='y\geqslant 2x-3' class='latex' /></td>
</tr>
<tr>
<td colspan="2">13. <img src='http://l.wordpress.com/latex.php?latex=x%3D4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=4' title='x=4' class='latex' />; solutions are 0 and 8</td>
</tr>
<tr>
<td>14a. direct; <img src='http://l.wordpress.com/latex.php?latex=y%3D3x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=3x' title='y=3x' class='latex' /></td>
<td>14b. inverse; <img src='http://l.wordpress.com/latex.php?latex=y%3D%5Cfrac%7B2.4%7D%7Bx%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=\frac{2.4}{x}' title='y=\frac{2.4}{x}' class='latex' /></td>
</tr>
<tr>
<td>15. <img src='http://l.wordpress.com/latex.php?latex=k%3D96&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k=96' title='k=96' class='latex' /></td>
<td>16a. vertical asymptote at <img src='http://l.wordpress.com/latex.php?latex=x%3D-2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=-2' title='x=-2' class='latex' /> and a hole at <img src='http://l.wordpress.com/latex.php?latex=x%3D-3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=-3' title='x=-3' class='latex' /></td>
</tr>
<tr>
<td>16b. vertical asymptote at <img src='http://l.wordpress.com/latex.php?latex=x%3D-4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=-4' title='x=-4' class='latex' /> and a hole at <img src='http://l.wordpress.com/latex.php?latex=x%3D-4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=-4' title='x=-4' class='latex' /></td>
<td>16c. vertical asymptote at <img src='http://l.wordpress.com/latex.php?latex=x%3D3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=3' title='x=3' class='latex' /> and a hole at <img src='http://l.wordpress.com/latex.php?latex=x%3D-2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x=-2' title='x=-2' class='latex' /></td>
</tr>
<tr>
<td>17a. <img src='http://l.wordpress.com/latex.php?latex=D%3D61&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='D=61' title='D=61' class='latex' />; two real roots</td>
<td>17b. <img src='http://l.wordpress.com/latex.php?latex=D%3D-31&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='D=-31' title='D=-31' class='latex' />; two imaginary roots</td>
</tr>
<tr>
<td>17c. <img src='http://l.wordpress.com/latex.php?latex=D%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='D=0' title='D=0' class='latex' />; one real root</td>
<td>17d. <img src='http://l.wordpress.com/latex.php?latex=D%3D64&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='D=64' title='D=64' class='latex' />; two real roots</td>
</tr>
</table>
</div>]]></content:encoded>
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<item>
<title><![CDATA[Oh, that Captain Kidd.]]></title>
<link>http://bigcharvey.wordpress.com/2009/10/22/oh-that-captain-kidd/</link>
<pubDate>Thu, 22 Oct 2009 15:11:31 +0000</pubDate>
<dc:creator>collinharvey</dc:creator>
<guid>http://bigcharvey.wordpress.com/2009/10/22/oh-that-captain-kidd/</guid>
<description><![CDATA[Ever heard about William Kidd? He was such a dingbat. Dude was contracted to go hunt pirates in the ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Ever heard about William Kidd?  He was such a dingbat.  Dude was contracted to go hunt pirates in the Indian Ocean, ended up doing some pirating himself, let himself get busted, and was hanged.  They even left his body hanging out over the harbor as a reminder to other pirates.  There&#8217;s a theory that he kinda got screwed by the system and was set up, but I&#8217;m not really sure about that.  He shouldn&#8217;t have raided a Mughal ship (the Mughals were buddies with the East India Company) if he was really sailing for the glory of England.  Dummy.</p>
<p>Okay, sorry about that.  We watched a DVD about Kidd in Pirates of the Caribbean last night.  It was entertaining, but Kidd&#8217;s stupidity just cracks me up.  Also, the narrator pronounced things funny.  <em>Madagassker</em>.</p>
<p>Also, last night was the second night of informative speeches in my Business Communications class.  Since I got mine out of the way the first night, I now have to sit through three more nights of speeches.  No big deal though, most of them are pretty cool.  Though last night, even though the teacher told them not to, they were all bringing in their Powerpoints in .pptx format, not .ppt.  For some reason, he won&#8217;t download the Microsoft Compatibility Pack to his laptop, so they couldn&#8217;t use his with the projector for their presentations.  Well, guess who had the laptop that COULD do this?</p>
<p>/me raises hand</p>
<p>So I volunteered my laptop for the majority of the class.  It was certainly no big deal, I was happy to help.  And everyone loved my wallpaper when it popped up on the screen:</p>
<p><img alt="" src="http://farm4.static.flickr.com/3634/3400148815_359f4614b6.jpg" title=" " class="aligncenter" width="420" height="280" /></p>
<p>Tonight&#8217;s Bible Study at Laura&#8217;s, and I&#8217;m trying to decide if I want to skip class and get there on time, or rush out after class and get there late.  Not sure yet, prob&#8217;ly won&#8217;t decide until the last minute.  Heh.</p>
</div>]]></content:encoded>
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