document.write( "Question 1165586: According to Newton’s law of cooling, the temperature of an object changes at a rate proportional to the difference in
\n" ); document.write( "temperature between the object and the outside medium. If an object whose temperature is 70OF is placed in a medium whose
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Algebra.Com's Answer #790273 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "According to Newton’s law of cooling, the temperature of an object changes at a rate proportional to the difference in temperature between the object and the outside medium. If an object whose temperature is 70OF is placed in a medium whose temperature is 20O and is found to be 40O after 3 minutes, what will its temperature be after 6 minutes?
\n" ); document.write( "a. 25OF b. 28OF c. 31OF d. 34OF
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Newton's law of cooling formula:  where: \"t\" = time (t) at a COOLED temperature (3 minutes, in this case)\r\n" );
document.write( "                                                                    \"T%28t%29\" = TEMPERATURE (T) at a given time (t) (400oF, in this case)\r\n" );
document.write( "                                                                    \"T%5Bs%5D\" = SURROUNDING temperature (200oF, in this case)\r\n" );
document.write( "                                                                    \"T%5Bo%5D\" = ORIGINAL/INITIAL temperature (700oF, in this case)\r\n" );
document.write( "                                                                    \"k\" = CONSTANT or COOLING rate (Unknown, in this case)\r\n" );
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document.write( "     In this case, we 1st have to determine the value of k, and so: \r\n" );
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document.write( ", where: \"t\" = time (t) at a COOLED temperature (6 minutes, in this case)\r\n" );
document.write( "                                    \"T%28t%29\" = TEMPERATURE (T) at a given time (t) (Unknown, in this case)\r\n" );
document.write( "                                    \"T%5Bs%5D\" = SURROUNDING temperature (200oF, in this case)\r\n" );
document.write( "                                    \"T%5Bo%5D\" = ORIGINAL/INITIAL temperature (700oF, in this case)\r\n" );
document.write( "                                    \"k\" = CONSTANT or COOLING rate (\"ln+%282%2F5%29%2F%28-+3%29\", in this case)\r\n" );
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document.write( "   Temperature, 6 minutes after, or 
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