document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128630>Question 1128630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given information to answer the question. <BR>\n" );
document.write( "The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute (rpm)) and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 40 hp at 110rpm, what must the diameter, d, be in order to transmit 60 hp at 150 rpm? (Round your answer to two decimal places.) \r<BR>\n" );
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document.write( "My work so far have been: <BR>\n" );
document.write( "hp = k*rpm*d^3<BR>\n" );
document.write( "40= k*110*27<BR>\n" );
document.write( "k = 40/2970= 0.01 <BR>\n" );
document.write( "60= 0.01*150*d^3 = 1.5d^3<BR>\n" );
document.write( "d^3 = 60/1.5<BR>\n" );
document.write( "* Before my answer kept being 13.3333333. Afterwards another tutor demonstrated a way to solve the equation and his answer was 3.41 inches. However, that answer was still tagged incorrect. Is there as step missing that I'm missing? Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745109 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the speed (rpm) <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the diameter of the shaft (inches) <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the horsepower transmitted \r<BR>\n" );
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document.write( "Then the first sentence of the problem is expressed in terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+kx%2Fy%5E3 ALIGN=MIDDLE  ALT=\"z+=+kx%2Fy%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  for some constant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "You are told that when  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+110 ALIGN=MIDDLE  ALT=\"x+=+110\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+40 ALIGN=MIDDLE  ALT=\"z+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40+=+k%28110%29%2F%283%29%5E3+=+%28110%2F27%29k+ ALIGN=MIDDLE  ALT=\"40+=+k%28110%29%2F%283%29%5E3+=+%28110%2F27%29k+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F%28110%2F27%29+=+k+ ALIGN=MIDDLE  ALT=\"40%2F%28110%2F27%29+=+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=%2840%2A27%29%2F110 ALIGN=MIDDLE  ALT=\"k+=%2840%2A27%29%2F110\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=108%2F11 ALIGN=MIDDLE  ALT=\"k+=108%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+kx%2Fy%5E3 ALIGN=MIDDLE  ALT=\"z+=+kx%2Fy%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28%28108%2F11%29x%29%2Fy%5E3%29+ ALIGN=MIDDLE  ALT=\"z+=+%28%28108%2F11%29x%29%2Fy%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+108x%2F11y%5E3+ ALIGN=MIDDLE  ALT=\"z+=+108x%2F11y%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, what diameter must the shaft have in order to safely transmit  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" > hp at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150 ALIGN=MIDDLE  ALT=\"150\"   DISABLED_style= \"max-width:90%; height:auto;\" > rpm\r<BR>\n" );
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document.write( "You are given a value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=150 ALIGN=MIDDLE  ALT=\"x=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=60 ALIGN=MIDDLE  ALT=\"z=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and are asked the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+108x%2F11y%5E3+ ALIGN=MIDDLE  ALT=\"z+=+108x%2F11y%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...plug in given values\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=+%28108%2A150%29%2F%2811y%5E3%29+ ALIGN=MIDDLE  ALT=\"60=+%28108%2A150%29%2F%2811y%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3+=+%28108%2A150%29%2F%2811%2A60%29 ALIGN=MIDDLE  ALT=\"y%5E3+=+%28108%2A150%29%2F%2811%2A60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3+=+270%2F11 ALIGN=MIDDLE  ALT=\"y%5E3+=+270%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2C270%2F11%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2C270%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2C270%29%2F+root%283%2C11%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2C270%29%2F+root%283%2C11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+6.46330%2F+2.22398 ALIGN=MIDDLE  ALT=\"y+=+6.46330%2F+2.22398\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2.91 ALIGN=MIDDLE  ALT=\"y+=+2.91\"   DISABLED_style= \"max-width:90%; height:auto;\" > (inches)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );