document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187404>Question 187404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with 3 word problems.  I don't even know where to begin.  This is from my textbook.<BR>\n" );
document.write( "According to Kepler's third law of planetary motion, the average radius R of the orbit of a planet around the sun is determined R=T^2/3, where T is the number of years for one orbit and R is measured in astronomical units.  <BR>\n" );
document.write( "a. It takes Mars 1,881 years to make one orbit of the sun.  What is the average radius in AUs of the orbit of Mars?<BR>\n" );
document.write( "b.The average radius of the orbit of Saturn is 9.05 AU.  How many number of years does it take for Saturn to make one orbit of the sun? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140474 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Remember that a fractional exponent means raise to the power of the numerator and take the root of the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = \sqrt[3]{T^2}\">\r<BR>\n" );
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document.write( "Alternatively you could say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = (\sqrt[3]{T})^2\">\r<BR>\n" );
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document.write( "Same thing.  Now all you need to do is substitute the given value for <i>T</i> and start punching buttons on the calculator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}} = \sqrt[3]{(1881)^2}\">\r<BR>\n" );
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document.write( "For the other problem, you need to solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R=T^{\frac{2}{3}}\">\r<BR>\n" );
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document.write( "for <i>T</i> by cubing both sides, and then taking the square root:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ T=R^{\frac{3}{2}}= sqrt{R^3}\">\r<BR>\n" );
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document.write( "Now, just plug in the given value for R and get to work with your calculator.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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