document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314084>Question 314084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Suppose that Q is jointly proportional to R and the Square of S. If Q=24 when R=3 and S=4. Find Q when R=2 and S=3.\r<BR>\n" );
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document.write( "2)When and anvil is dropped into a gorge, the speed with which it strikes the ground is directly proportional to the square root of the distance it falls. An anvil that falls 400 feet hits the ground at a speed of 160 feet per second. Find the height of a cliff over the gorge is a dropped anvil hits the ground ata speed of 128 feet per second.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224653 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Suppose that Q is jointly proportional to R and the Square of S.<BR>\n" );
document.write( "Q:(R*S^2)<BR>\n" );
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document.write( "If Q=24 when R=3 and S=4. Find Q when R=2 and S=3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%283%2A4%5E2%29 ALIGN=MIDDLE  ALT=\"24%2F%283%2A4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q%2F%282%2A3%5E2%29 ALIGN=MIDDLE  ALT=\"Q%2F%282%2A3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F48 ALIGN=MIDDLE  ALT=\"24%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q%2F18 ALIGN=MIDDLE  ALT=\"Q%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Q = 9<BR>\n" );
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document.write( "2)When and anvil is dropped into a gorge, the speed with which it strikes the<BR>\n" );
document.write( " ground is directly proportional to the square root of the distance it falls.<BR>\n" );
document.write( "s:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28d%29 ALIGN=MIDDLE  ALT=\"sqrt%28d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " An anvil that falls 400 feet hits the ground at a speed of 160 feet per second. <BR>\n" );
document.write( "Find the height of a cliff over the gorge is a dropped anvil hits the ground at a speed of 128 feet per second.<BR>\n" );
document.write( "let h = height of the cliff<BR>\n" );
document.write( "A ratio equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2Fsqrt%28400%29 ALIGN=MIDDLE  ALT=\"160%2Fsqrt%28400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128%2Fsqrt%28h%29 ALIGN=MIDDLE  ALT=\"128%2Fsqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "same as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2F20 ALIGN=MIDDLE  ALT=\"160%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128%2Fsqrt%28h%29 ALIGN=MIDDLE  ALT=\"128%2Fsqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160sqrt%28h%29 ALIGN=MIDDLE  ALT=\"160sqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 * 128<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160sqrt%28h%29 ALIGN=MIDDLE  ALT=\"160sqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  2560<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28h%29 ALIGN=MIDDLE  ALT=\"sqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2560%2F160 ALIGN=MIDDLE  ALT=\"2560%2F160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28h%29 ALIGN=MIDDLE  ALT=\"sqrt%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16<BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "h = 16^2<BR>\n" );
document.write( "h = 256 ft </SPAN>\n" );
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