document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066143>Question 1066143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tomato plant is purchased at a garden supply store. The initial height of the plant its 37.6 in. The height of the plant h (in inches) is approximated by h= 22(t+5)^1/3 , where t is the time in days after planting. \r<BR>\n" );
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document.write( "a. Determine the height of the plant 23 days after planting. \r<BR>\n" );
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document.write( "I know the answer to a. is: 67\r<BR>\n" );
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document.write( "b. After being planted, it would take approximately ____ days for the plant to reach 4 ft.\r<BR>\n" );
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document.write( "So the equation would be: 48=22(t+5)^1/3 correct? When I simplify it I get a fraction. When I divide that fraction, I get the wrong answer. Help??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681403 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tomato plant is purchased at a garden supply store. The initial height of the plant its 37.6 in. The height of the plant h (in inches) is approximated by h= 22(t+5)^1/3 , where t is the time in days after planting. \r<BR>\n" );
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document.write( "a. Determine the height of the plant 23 days after planting. \r<BR>\n" );
document.write( "\n" );
document.write( "I know the answer to a. is: 67\r<BR>\n" );
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document.write( "b. After being planted, it would take approximately ____ days for the plant to reach 4 ft.\r<BR>\n" );
document.write( "\n" );
document.write( "So the equation would be: 48=22(t+5)^1/3 correct? When I simplify it I get a fraction. When I divide that fraction, I get the wrong answer. Help???<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+h+=+22%28t+%2B+5%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+h+=+22%28t+%2B+5%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "<b><u>a.</b></u>\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+h+=+22%2823+%2B+5%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+h+=+22%2823+%2B+5%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Substituting 23 for t\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+h+=+22%2828%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+h+=+22%2828%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C10%2C+h%2C+or%2C+height%2C+%22=%22%2C+%2266.80495738%2C%22%2C+rounded%2C+up%2C+to%2C+67%2C+feet%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ></PRE><BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "<b><u>b.</b></u>\r\n" );
document.write( "4 feet = 48 inches \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+48+=+22%28t+%2B+5%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+48+=+22%28t+%2B+5%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----------- Substituting 48 for h\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+48%2F22+=+%28t+%2B+5%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+48%2F22+=+%28t+%2B+5%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------------- Dividing by 22\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+24%2F11+=+%28t+%2B+5%29%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+24%2F11+=+%28t+%2B+5%29%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------------- Reducing left side\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C+%22+%22%2C+%2824%2F11%29%5E3+=+%28t+%2B+5%29%5E%28%281%2F3%29+%2A+3%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C+%22+%22%2C+%2824%2F11%29%5E3+=+%28t+%2B+5%29%5E%28%281%2F3%29+%2A+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Raising each side to the 3<sup>rd</sup> power \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2F11%29%5E3+=+t+%2B+5 ALIGN=MIDDLE  ALT=\"%2824%2F11%29%5E3+=+t+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "To grow to 4' or 48\", time taken, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C9%2C+t%2C+%22=%22%2C+%2824%2F11%29%5E3+-+5%2C+%22=%22%2C+%225.386175808%2C%22%2C+rounded%2C+to%2C+5%2C+days%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ></PRE> </SPAN>\n" );
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