document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789151>Question 789151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand.  I have submitted 2 or 3 problems in the past 2 to 3 weeks and you have never answered me. Here is the problem that I'm having trouble with.<BR>\n" );
document.write( "I have to solve for a,b & c.  To be considered safe for ocean sailing, the capsize screening value C should be less than 2.  For a boat with a beam (or width)b in feet and displacement d in pounds, C is determined by the function.\r<BR>\n" );
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document.write( "C=4d=^1/3b.<BR>\n" );
document.write( "a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.<BR>\n" );
document.write( "b) Solve this formula for d.<BR>\n" );
document.write( "c) The accompanying graph shows C in terms of d for the Tartan 4100(b=13.5).  For what displacement is the Tartan 4100 safe for ocean sailing? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478786 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=478786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  solve for a,b & c. To be considered safe for ocean sailing, the capsize screening value C should be less than 2.<BR>\n" );
document.write( " For a boat with a beam (or width)b in feet and displacement d in pounds, C is determined by the function.<BR>\n" );
document.write( "I think it should be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=4d%5E%28-1%2F3%29b ALIGN=MIDDLE  ALT=\"C=4d%5E%28-1%2F3%29b\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.<BR>\n" );
document.write( "Replace d and b in the above<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=4%2A23245%5E%28-1%2F3%29%2A13.5 ALIGN=MIDDLE  ALT=\"C=4%2A23245%5E%28-1%2F3%29%2A13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using a calc<BR>\n" );
document.write( "C = 4 * .035 * 13.5<BR>\n" );
document.write( "C = 1.89 is the screening value<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) Solve this formula for d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d%5E%28-1%2F3%29%2Ab ALIGN=MIDDLE  ALT=\"4d%5E%28-1%2F3%29%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > = C<BR>\n" );
document.write( "divide both sides by 4b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"d%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2F%284b%29 ALIGN=MIDDLE  ALT=\"C%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cube both sides, invert to get rid of the negative<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284b%29%2FC%29%5E3 ALIGN=MIDDLE  ALT=\"%28%284b%29%2FC%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) The accompanying graph shows C in terms of d for the Tartan 4100(b=13.5). For what displacement is the Tartan 4100 safe for ocean sailing?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10000%2C+30000%2C+-2%2C+4%2C+4%2Ax%5E%28-1%2F3%29%2A13.5%2C+2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10000%2C+30000%2C+-2%2C+4%2C+4%2Ax%5E%28-1%2F3%29%2A13.5%2C+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hard to see in this graph, but using the formula in b we get<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2A13.5%29%2F2%29%5E3 ALIGN=MIDDLE  ALT=\"%28%284%2A13.5%29%2F2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 19683 pounds displacement for a value of C=2<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "The reason many problems are not done, we have hundreds of problems every day<BR>\n" );
document.write( "and only a couple dozen active tutors.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );