document.write( "Question 1032278: Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. So the rate of cooling for a bottle of lemonade at a room temperature of 75°F which is placed into a refrigerator with temperature of 38°F can be modeled by dT/dt=k(T-38) where T(t) is the temperature of the lemonade after t minutes and T(0) = 75. After 30 minutes the lemonade has cooled to 60°F, so T(30) = 60.
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document.write( "To the nearest degree, what is the temperature of the lemonade after an additional 30 minutes? \n" );
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Algebra.Com's Answer #646915 by robertb(5830)![]() ![]() You can put this solution on YOUR website! This is just a follow-up to the other problem.\r \n" ); document.write( "\n" ); document.write( "After 30 minutes, the temperature was 60°F.\r \n" ); document.write( "\n" ); document.write( "After an additional 30 minutes, the temperature is T(60).\r \n" ); document.write( "\n" ); document.write( "The equation that was obtained previously was \n" ); document.write( "\n" ); document.write( "==> |