document.write( "Question 1178344: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answers to the nearest whole number.)
\n" ); document.write( "(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 50 minutes?
\n" ); document.write( "T(50) = \r
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\n" ); document.write( "(b) When will the turkey have cooled to 105°? \n" ); document.write( "
Algebra.Com's Answer #813770 by MathTherapy(10552)\"\" \"About 
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A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answers to the nearest whole number.)
\n" ); document.write( "(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 50 minutes?
\n" ); document.write( "T(50) = \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "(b) When will the turkey have cooled to 105°?
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Formula for Newton's Law of cooling:  where: \"t\" is the time at a COOLED temperature \r\n" );
document.write( "                                                                        \"T%28t%29\" is the TEMPERATURE (T) at a given time (t) \r\n" );
document.write( "                                                                        \"T%5Bs%5D\" is the SURROUNDING temperature \r\n" );
document.write( "                                                                        \"T%5Bo%5D\" is the ORIGINAL/INITIAL temperature \r\n" );
document.write( "                                                                        \"+k\" is the CONSTANT or COOLING rate
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document.write( " then becomes: \"matrix%281%2C3%2C+T%2830%29%2C+%22=%22%2C+75+%2B+%28185+-+75%29e%5E%28-+30k%29%29\" -- Substituting 30 for t, 75 for \"T%5Bs%5D\", and 185 for \"T%5Bo%5D\"\r\n" );
document.write( "                                           \"matrix%281%2C3%2C+150%2C+%22=%22%2C+75+%2B+%28185+-+75%29e%5E%28-+30k%29%29\" -- Substituting 150 for \"T%2830%29\"\r\n" );
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document.write( "                                           \"matrix%281%2C3%2C+-+30k%2C+%22=%22%2C+ln%2815%2F22%29%29\" ----- Converting to LOGARITHMIC (Natural) form \r\n" );
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document.write( "                    CONSTANT/COOLING RATE, or \r\n" );
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document.write( " becomes:  -- Substituting 75, 185, - .012766408, and 50  \r\n" );
document.write( "                                                                            for \"T%5Bs%5D\", \"T%5Bo%5D\", k, and t, respectively\r\n" );
document.write( "                                     \"matrix%281%2C3%2C+T%2850%29%2C+%22=%22%2C+75+%2B+110e%5E%28-+.012766408%2850%29%29%29\"\r\n" );
document.write( "   Temperature after 50 minutes, or \r\n" );
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document.write( " becomes: \"matrix%281%2C3%2C+105%2C+%22=%22%2C+75+%2B+%28185+-+75%29e%5E%28-+.012766408t%29%29%29\" -- Substituting 105, 75, 185, and - .012766408,                                   \r\n" );
document.write( "                                                                           for \"T%28t%29\", \"T%5Bs%5D\", \"T%5Bo%5D\", and k, respectively\r\n" );
document.write( "                                      \"matrix%281%2C3%2C+105%2C+%22=%22%2C+75+%2B+110e%5E%28-+.012766408t%29%29\" \r\n" );
document.write( "                                       \r\n" );
document.write( "                                      \"matrix%281%2C3%2C+-+.012766408t%2C+%22=%22%2C+ln%283%2F11%29%29\" ----- Converting to LOGARITHMIC (Natural) form \r\n" );
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document.write( "TIME taken for turkey to cool to 105o, or
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