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<title>First Things First</title>
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<c val="#808000">GETTING STARTED PRIMERS</c>
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<link href=".\..\..\toc_tuto.xmcd" title="Links to Tutorials" popup="false">tutorials</link>
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<c val="#800000">First Things First</c>
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<phrase>regions, order of</phrase>
<phrase>definitions, order of</phrase>
<phrase>order of calculation</phrase>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">All worksheets are comprised of regions - text regions, math regions, graphs, and images. Math regions often depend on other math regions to calculate correctly. Here's an example:</p>
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</region>
<region region-id="1571" left="6" top="150.75" width="341.25" height="42.75" align-x="6" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Note</c>
</b>: These exercises require you to work within the Worksheet window. To do so, choose <b>Select All</b> from the <b>Edit</b> menu. Then, either drag or copy and paste all the regions into your Worksheet window.</p>
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<text use-page-width="false" push-down="false" lock-width="false">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Example</p>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Define a variable:</p>
</text>
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<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>3</ml:real>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Then use it, like this:</p>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Or, like this:</p>
</text>
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<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2</ml:real>
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<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>9</ml:real>
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<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">y</ml:id>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2</ml:real>
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<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:id xml:space="preserve">y</ml:id>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>9</ml:real>
</result>
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</math>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">But, you cannot define a variable-dependent calculation:</p>
</text>
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<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:sqrt></ml:sqrt>
<ml:apply>
<ml:plus></ml:plus>
<ml:id xml:space="preserve">p</ml:id>
<ml:real>2</ml:real>
</ml:apply>
</ml:apply>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_p	mc_p		value_zone</customValue>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: The red variable with no result indicates an error - if you click on it you see an error message.</p>
</text>
<indexes>
<phrase>error message</phrase>
</indexes>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">First define your variable:</p>
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<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">p</ml:id>
<ml:real>14</ml:real>
</ml:define>
</math>
<rendering item-idref="8"></rendering>
</region>
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<pageBreak></pageBreak>
</region>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">A definition must appear above or to the left of where it is being used, a procedure referred to as <b>top/down</b>, <b>left/right</b> protocol.</p>
</text>
</region>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The following exercises let you practice moving regions such that calculations and definitions work properly. You can also practice aligning regions vertically and horizontally.</p>
</text>
</region>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Practice</p>
</text>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Moving Math Regions with Dependencies:</p>
</text>
<indexes>
<phrase>math regions, moving</phrase>
<phrase>regions, moving</phrase>
</indexes>
</region>
<region region-id="1576" left="6" top="642.75" width="303.75" height="28.5" align-x="6" align-y="654" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Make sure you are working in the Worksheet window, as existing regions cannot be moved in the Resources window.</p>
</text>
</region>
<region region-id="1455" left="6" top="680.25" width="216.75" height="24" align-x="17.25" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>Drag</b> any region below to correct the definition or calculation in error:</p>
</text>
</region>
<region region-id="1535" left="240" top="708.75" width="134.25" height="71.25" align-x="245.25" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: Move your cursor to the edge of the rectangle, until you get a black hand cursor. Now you can grab and move the region.</p>
</text>
</region>
<region region-id="1276" left="42" top="720.75" width="42.75" height="15.75" align-x="63.75" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:real>3</ml:real>
<ml:id xml:space="preserve">X</ml:id>
</ml:apply>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_X	mc_X		value_zone</customValue>
</metadata>
<rendering item-idref="9"></rendering>
</region>
<region region-id="1277" left="114" top="720.75" width="33" height="15.75" align-x="130.5" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">X</ml:id>
<ml:real>2</ml:real>
</ml:define>
</math>
<rendering item-idref="10"></rendering>
</region>
<region region-id="1258" left="6" top="794.25" width="211.5" height="24" align-x="17.25" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Drag any region below to correct the definition or calculation in error:</p>
</text>
</region>
<region region-id="1533" left="240" top="828.75" width="134.25" height="99.75" align-x="240" align-y="840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: You can move more than one region at a time by clicking a space near one of the regions and dragging across all the regions. When selected, they have dotted boxes around them.</p>
</text>
</region>
<region region-id="1575" left="42" top="826.5" width="43.5" height="33.75" align-x="64.5" align-y="846" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">a</ml:id>
<ml:id xml:space="preserve">b</ml:id>
</ml:apply>
<ml:id xml:space="preserve">d</ml:id>
</ml:apply>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_a	mc_a		value_zone</customValue>
</metadata>
<rendering item-idref="11"></rendering>
</region>
<region region-id="1280" left="42" top="870.75" width="45" height="15.75" align-x="55.5" align-y="882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">a</ml:id>
<ml:real>0.13</ml:real>
</ml:define>
</math>
<rendering item-idref="12"></rendering>
</region>
<region region-id="1281" left="102" top="870.75" width="46.5" height="15.75" align-x="116.25" align-y="882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">b</ml:id>
<ml:real>-3.4</ml:real>
</ml:define>
</math>
<rendering item-idref="13"></rendering>
</region>
<region region-id="1282" left="162" top="870.75" width="51.75" height="15.75" align-x="176.25" align-y="882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">d</ml:id>
<ml:real>6.982</ml:real>
</ml:define>
</math>
<rendering item-idref="14"></rendering>
</region>
<region region-id="1558" left="0" top="930" width="6000" height="6" align-x="0" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="1083" left="6" top="938.25" width="205.5" height="24" align-x="17.25" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Drag any region below to correct the definition or calculation in error:</p>
</text>
</region>
<region region-id="1286" left="42" top="978.75" width="42.75" height="15.75" align-x="59.25" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">t1</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>3</ml:real>
<ml:id xml:space="preserve">hr</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="15"></rendering>
</region>
<region region-id="1534" left="240" top="978.75" width="134.25" height="99.75" align-x="240" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>:<sp count="2"></sp>Another way to select multiple regions is to click one, hold down the<b> [Ctrl]</b> key and then click another. You can deselect a region the same way, by <b>[Ctrl]</b>-clicking on it.<sp count="2"></sp>
</p>
</text>
</region>
<region region-id="1296" left="42" top="1008.75" width="49.5" height="15.75" align-x="56.25" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">d</ml:id>
<ml:apply>
<ml:mult style="x"></ml:mult>
<ml:id xml:space="preserve">r</ml:id>
<ml:id xml:space="preserve">t1</ml:id>
</ml:apply>
</ml:define>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_r	mc_r		value_zone</customValue>
</metadata>
<rendering item-idref="16"></rendering>
</region>
<region region-id="1288" left="42" top="1038.75" width="54" height="15.75" align-x="54" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">r</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>60</ml:real>
<ml:id xml:space="preserve">mph</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="17"></rendering>
</region>
<region region-id="1111" left="6" top="1094.25" width="214.5" height="24" align-x="17.25" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Drag any region below to correct the definitions or calculations in error:</p>
</text>
</region>
<region region-id="1289" left="42" top="1132.5" width="103.5" height="33.75" align-x="69" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">time</ml:id>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">circumference</ml:id>
<ml:id xml:space="preserve">speed</ml:id>
</ml:apply>
</ml:define>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_circumference	mc_circumference		value_zone</customValue>
</metadata>
<rendering item-idref="18"></rendering>
</region>
<region region-id="1290" left="174" top="1140.75" width="107.25" height="18" align-x="245.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">circumference</ml:id>
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>2</ml:real>
<ml:id xml:space="preserve">π</ml:id>
</ml:apply>
<ml:id xml:space="preserve" subscript="e">R</ml:id>
</ml:apply>
</ml:define>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_R_2E_e	mc_R_2E_e		value_zone</customValue>
</metadata>
<rendering item-idref="19"></rendering>
</region>
<region region-id="1291" left="42" top="1180.5" width="78.75" height="33.75" align-x="77.25" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">speed</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>12</ml:real>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">mi</ml:id>
<ml:id xml:space="preserve">day</ml:id>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="20"></rendering>
</region>
<region region-id="1292" left="174" top="1183.5" width="89.25" height="23.25" align-x="194.25" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve" subscript="e">R</ml:id>
<ml:apply>
<ml:mult style="x"></ml:mult>
<ml:real>6.38</ml:real>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:apply>
<ml:pow></ml:pow>
<ml:real>10</ml:real>
<ml:real>6</ml:real>
</ml:apply>
<ml:id xml:space="preserve">m</ml:id>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="21"></rendering>
</region>
<region region-id="1160" left="6" top="1244.25" width="260.25" height="12" align-x="6" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Entering Math Regions in the Right Order</p>
</text>
</region>
<region region-id="1178" left="6" top="1266.75" width="330" height="14.25" align-x="17.25" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter these math regions in the right order to yield an error-free definition:</p>
</text>
</region>
<region region-id="1183" left="6" top="1292.25" width="24.75" height="12" align-x="17.25" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1532" left="240" top="1290.75" width="134.25" height="85.5" align-x="246.75" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: If you enter one definition and press <b>[Enter]</b>, your cursor is in the right position to enter another vertically aligned region below it.</p>
</text>
</region>
<region region-id="1186" left="6" top="1317" width="163.5" height="10.5" align-x="12" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">hyp:\leg.1^2 [Spacebar] + leg.2^2</p>
</text>
</region>
<region region-id="1405" left="6" top="1346.25" width="24.75" height="12" align-x="17.25" align-y="1356" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1407" left="6" top="1371" width="45.75" height="10.5" align-x="12" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">leg.1:20in</p>
</text>
</region>
<region region-id="1409" left="6" top="1400.25" width="24.75" height="12" align-x="17.25" align-y="1410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1410" left="6" top="1425" width="45.75" height="10.5" align-x="12" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">leg.2:30in</p>
</text>
</region>
<region region-id="1035" left="6" top="1464.75" width="27.75" height="14.25" align-x="6" align-y="1476" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1466" left="0" top="1548" width="6000" height="6" align-x="0" align-y="1548" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="1197" left="6" top="1554.75" width="327.75" height="14.25" align-x="17.25" align-y="1566" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter these math regions in the right order to yield error-free calculations:</p>
</text>
</region>
<region region-id="1198" left="6" top="1580.25" width="24.75" height="12" align-x="17.25" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1597" left="84" top="1580.25" width="24.75" height="12" align-x="95.25" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1231" left="150" top="1580.25" width="24.75" height="12" align-x="161.25" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1531" left="240" top="1578.75" width="135" height="85.5" align-x="246.75" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: If you enter one definition and press <b>[Tab]</b>, your cursor is in the right position to enter another horizontally aligned region next to it.</p>
</text>
</region>
<region region-id="1201" left="6" top="1605" width="67.5" height="10.5" align-x="12" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Vol:Area*Hght</p>
</text>
</region>
<region region-id="1598" left="84" top="1605" width="39" height="10.5" align-x="90" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Vol=</p>
</text>
</region>
<region region-id="1235" left="150" top="1605" width="55.5" height="10.5" align-x="156" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Hght:35cm</p>
</text>
</region>
<region region-id="1417" left="6" top="1634.25" width="24.75" height="12" align-x="17.25" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1599" left="84" top="1634.25" width="24.75" height="12" align-x="95.25" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1419" left="150" top="1634.25" width="24.75" height="12" align-x="161.25" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1420" left="6" top="1659" width="48" height="10.5" align-x="12" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Len:15cm</p>
</text>
</region>
<region region-id="1600" left="84" top="1659" width="49.5" height="10.5" align-x="90" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Wid:20cm</p>
</text>
</region>
<region region-id="1422" left="150" top="1659" width="69" height="10.5" align-x="156" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Area:Len*Wid</p>
</text>
</region>
<region region-id="1416" left="6" top="1710.75" width="27.75" height="14.25" align-x="6" align-y="1722" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1273" left="6" top="1832.25" width="156" height="12" align-x="15.75" align-y="1842" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Aligning Regions</p>
</text>
<indexes>
<phrase>aligning regions</phrase>
<phrase>regions, aligning</phrase>
</indexes>
</region>
<region region-id="1285" left="6" top="1856.25" width="282.75" height="12" align-x="17.25" align-y="1866" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>Align</b> these regions <b>vertically</b> by selecting them and clicking the </p>
</text>
</region>
<region region-id="1301" left="6" top="1872" width="16.5" height="16.5" align-x="6" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="22" display-width="15" display-height="15"></png>
</picture>
<rendering item-idref="23"></rendering>
</region>
<region region-id="1304" left="30" top="1874.25" width="128.25" height="12" align-x="43.5" align-y="1884" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">button on the main toolbar.</p>
</text>
</region>
<region region-id="1623" left="210" top="1884.75" width="159" height="57" align-x="210" align-y="1896" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Make sure you are working in the Worksheet window, as existing regions cannot be moved in the Resources window.</p>
</text>
</region>
<region region-id="1613" left="66" top="1902.75" width="30" height="15.75" align-x="79.5" align-y="1914" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">a</ml:id>
<ml:real>1</ml:real>
</ml:define>
</math>
<rendering item-idref="24"></rendering>
</region>
<region region-id="1614" left="84" top="1932.75" width="30.75" height="15.75" align-x="98.25" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">b</ml:id>
<ml:real>2</ml:real>
</ml:define>
</math>
<rendering item-idref="25"></rendering>
</region>
<region region-id="1620" left="210" top="1950.75" width="168.75" height="85.5" align-x="216.75" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: You can also move a group of regions by first dragging over them to select them or by <b>[Ctrl]</b> clicking on each region to get a dotted line. Then you can <b>nudge</b>
<inlineAttr font-weight="normal"> the regions</inlineAttr> using the arrow keys.</p>
</text>
<indexes>
<phrase>regions, nudging</phrase>
</indexes>
</region>
<region region-id="1615" left="108" top="1955.25" width="68.25" height="23.25" align-x="121.5" align-y="1974" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define warning="WarnRedefinedBIUnit">
<ml:id xml:space="preserve">c</ml:id>
<ml:apply>
<ml:sqrt></ml:sqrt>
<ml:apply>
<ml:plus></ml:plus>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">a</ml:id>
<ml:real>2</ml:real>
</ml:apply>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">b</ml:id>
<ml:real>2</ml:real>
</ml:apply>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="26"></rendering>
</region>
<region region-id="1467" left="0" top="2046" width="6000" height="6" align-x="0" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="1313" left="6" top="2054.25" width="321.75" height="24" align-x="17.25" align-y="2064" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Rearrange these regions to correct the regions in error. Then, align the regions vertically by selecting them and clicking the </p>
</text>
</region>
<region region-id="1329" left="6" top="2082" width="16.5" height="16.5" align-x="6" align-y="2082" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="27" display-width="15" display-height="15"></png>
</picture>
<rendering item-idref="28"></rendering>
</region>
<region region-id="1330" left="30" top="2084.25" width="274.5" height="12" align-x="43.5" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">button on the main toolbar.</p>
</text>
</region>
<region region-id="1331" left="90" top="2110.5" width="77.25" height="36" align-x="117" align-y="2130" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">time</ml:id>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">distance</ml:id>
<ml:id xml:space="preserve" subscript="1">rate</ml:id>
</ml:apply>
</ml:define>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_distance	mc_distance		value_zone</customValue>
</metadata>
<rendering item-idref="29"></rendering>
</region>
<region region-id="1334" left="210" top="2118.75" width="47.25" height="15.75" align-x="236.25" align-y="2130" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:id xml:space="preserve">time</ml:id>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable</customValue>
</metadata>
<rendering item-idref="30"></rendering>
</region>
<region region-id="1332" left="30" top="2154.75" width="72" height="15.75" align-x="75" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">distance</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>2</ml:real>
<ml:id xml:space="preserve">mi</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="31"></rendering>
</region>
<region region-id="1333" left="120" top="2178.75" width="72" height="18" align-x="150" align-y="2190" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve" subscript="1">rate</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>30</ml:real>
<ml:id xml:space="preserve">mph</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="32"></rendering>
</region>
<region region-id="1339" left="6" top="2288.25" width="313.5" height="12" align-x="17.25" align-y="2298" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>Align</b> these regions <b>horizontally</b> by selecting them and clicking the </p>
</text>
</region>
<region region-id="1567" left="6" top="2304" width="16.5" height="16.5" align-x="6" align-y="2304" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="33" display-width="15" display-height="15"></png>
</picture>
<rendering item-idref="34"></rendering>
</region>
<region region-id="1568" left="30" top="2306.25" width="123" height="12" align-x="43.5" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">button on the main toolbar.</p>
</text>
</region>
<region region-id="1344" left="24" top="2340.75" width="44.25" height="15.75" align-x="36.75" align-y="2352" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">f</ml:id>
<ml:real>47.8</ml:real>
</ml:define>
</math>
<rendering item-idref="35"></rendering>
</region>
<region region-id="1353" left="234" top="2335.5" width="73.5" height="21" align-x="286.5" align-y="2352" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:plus></ml:plus>
<ml:apply>
<ml:div inline="true"></ml:div>
<ml:id xml:space="preserve">f</ml:id>
<ml:id xml:space="preserve">r</ml:id>
</ml:apply>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">q</ml:id>
<ml:real>3</ml:real>
</ml:apply>
</ml:apply>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_q	mc_q		value_zone</customValue>
</metadata>
<rendering item-idref="36"></rendering>
</region>
<region region-id="1349" left="96" top="2358.75" width="45.75" height="15.75" align-x="110.25" align-y="2370" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">q</ml:id>
<ml:real>98.6</ml:real>
</ml:define>
</math>
<rendering item-idref="37"></rendering>
</region>
<region region-id="1354" left="180" top="2358.75" width="34.5" height="15.75" align-x="192" align-y="2370" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">r</ml:id>
<ml:real>15</ml:real>
</ml:define>
</math>
<rendering item-idref="38"></rendering>
</region>
<region region-id="1362" left="6" top="2438.25" width="368.25" height="24" align-x="17.25" align-y="2448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Rearrange these regions to correct the errors. Then, align the regions either horizontally, vertically, or both by selecting them and clicking </p>
</text>
</region>
<region region-id="1472" left="6" top="2466" width="16.5" height="16.5" align-x="6" align-y="2466" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="39" display-width="15" display-height="15"></png>
</picture>
<rendering item-idref="40"></rendering>
</region>
<region region-id="1573" left="48" top="2466" width="16.5" height="16.5" align-x="48" align-y="2466" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="41" display-width="15" display-height="15"></png>
</picture>
<rendering item-idref="42"></rendering>
</region>
<region region-id="1476" left="30" top="2468.25" width="9" height="12" align-x="34.5" align-y="2478" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">or</p>
</text>
</region>
<region region-id="1477" left="72" top="2468.25" width="147" height="12" align-x="85.5" align-y="2478" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">on the main toolbar.</p>
</text>
</region>
<region region-id="1559" left="252" top="2508.75" width="77.25" height="15.75" align-x="276.75" align-y="2520" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">Tes</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>273.15</ml:real>
<ml:id xml:space="preserve">K</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="43"></rendering>
</region>
<region region-id="1397" left="102" top="2512.5" width="81" height="33.75" align-x="126.75" align-y="2532" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">Vol</ml:id>
<ml:apply>
<ml:div></ml:div>
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:id xml:space="preserve">n</ml:id>
<ml:id xml:space="preserve">Ran</ml:id>
</ml:apply>
<ml:id xml:space="preserve">Tes</ml:id>
</ml:apply>
<ml:id xml:space="preserve">P</ml:id>
</ml:apply>
</ml:define>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_n	mc_n		value_zone</customValue>
</metadata>
<rendering item-idref="44"></rendering>
</region>
<region region-id="1401" left="30" top="2526.75" width="45" height="15.75" align-x="54" align-y="2538" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:id xml:space="preserve">Vol</ml:id>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable</customValue>
</metadata>
<rendering item-idref="45"></rendering>
</region>
<region region-id="1389" left="180" top="2544.75" width="46.5" height="15.75" align-x="193.5" align-y="2556" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">n</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>1</ml:real>
<ml:id xml:space="preserve">mol</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="46"></rendering>
</region>
<region region-id="1560" left="252" top="2536.5" width="95.25" height="33.75" align-x="278.25" align-y="2556" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">Ran</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>8.314</ml:real>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">J</ml:id>
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:id xml:space="preserve">K</ml:id>
<ml:id xml:space="preserve">mol</ml:id>
</ml:apply>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="47"></rendering>
</region>
<region region-id="1391" left="126" top="2574.75" width="51.75" height="15.75" align-x="141" align-y="2586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">P</ml:id>
<ml:apply>
<ml:mult style="auto-select"></ml:mult>
<ml:real>1</ml:real>
<ml:id xml:space="preserve">atm</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="48"></rendering>
</region>
<region region-id="1630" left="6" top="2634" width="426.75" height="5.25" align-x="6" align-y="2634" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="49" display-width="425.25" display-height="3.75"></png>
</picture>
<rendering item-idref="50"></rendering>
</region>
</regions>
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