document.write( "Question 1112016: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit.\r
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Algebra.Com's Answer #853998 by MathTherapy(10801)\"\" \"About 
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document.write( "A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a\r\n" );
document.write( "table in a room where the temperature is 75 Fahrenheit.\r\n" );
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document.write( "a). If the temperature of the turkey is 141 Fahrenheit after half an hour, what is its temperature after 45 minutes?\r\n" );
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document.write( "b). When will the turkey cool to 100 Fahrenheit?\r\n" );
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document.write( "You can use Newton's Law of Cooling.......any of the following 3 formulae should work: \r\n" );
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document.write( "This author's preference is the 1st formula. In this case, the cooling rate (k) is first needed, and is derived as follows:\r\n" );
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document.write( "       , where: \"t\" = time taken to get to a COOLED temperature (\"1%2F2\" an hr, or 30 minutes, in this case)\r\n" );
document.write( "                                             \"T%28t%29\" = TEMPERATURE (T) at a given time (t)___(141oF, in this case) \r\n" );
document.write( "                                              \"T%5Bs%5D\" = SURROUNDING Temperature (75oF, in this case)\r\n" );
document.write( "                                              \"T%5Bo%5D\" = ORIGINAL/INITIAL temperature (185oF, in this case)\r\n" );
document.write( "                                               \"k\" = the CONSTANT or COOLING rate (UNKNOWN, in this case)\r\n" );
document.write( "                                      \r\n" );
document.write( "                                       ---- Substituting 30 for t, 75o for \"T%5Bs%5D\", and 185o for \"T%5Bo%5D\"\r\n" );
document.write( "                                          \"matrix%281%2C3%2C+141%2C+%22=%22%2C+75+%2B+%28185+-+75%29+%2A+e%5E%28-+30k%29%29\" ----- Substituting 141o for T(30)\r\n" );
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document.write( "                                       \"matrix%281%2C3%2C+-+30k%2C+%22=%22%2C+ln+%283%2F5%29%29\" ----- Converting to NATURAL LOGARITHMIC (ln) form\r\n" );
document.write( "                                              \"matrix%281%2C5%2C+k%2C+%22=%22%2C+ln%283%2F5%29%2F%28-+30%29%2C+%22=%22%2C+.01702752%29\"\r\n" );
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document.write( "a). If the temperature of the turkey is 141 Fahrenheit after half an hour, what is its temperature after 45 minutes?\r\n" );
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document.write( "                                                            ---- Substituting 45 for t, 75o for \"T%5Bs%5D\", 185o for \"T%5Bo%5D\",          \r\n" );
document.write( "                                                                                                                                               and .01702752 for k\r\n" );
document.write( "Temperature, after 45 minutes, or , or approximately 126oF.\r\n" );
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document.write( "b). When will the turkey cool to 100 Fahrenheit?\r\n" );
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document.write( "                                                           \r\n" );
document.write( "                                                                \"matrix%281%2C3%2C+100%2C+%22=%22%2C+75+%2B+%28185+-+75%29+%2A+e%5E%28-+.01702752t%29%29\" ---- Substituting 100 for T(t), 75o for \"T%5Bs%5D\", 185o for \"T%5Bo%5D\",\r\n" );
document.write( "                                                                                                                                            and .01702752 for k\r\n" );
document.write( "                                                        \r\n" );
document.write( "                                             \"matrix%281%2C3%2C+-+.01702752t%2C+%22=%22%2C+ln%285%2F22%29%29\" ---- Converting to NATURAL LOGARITHMIC (ln) form\r\n" );
document.write( "Time taken for the turkey to cool to 100oF, or
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