question archive Newton's law of cooling is T=Ae−kt+C, where T is the temperature of the object at time t, and C is the constant temperature of the surrounding medium
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Newton's law of cooling is T=Ae−kt+C, where T is the temperature of the object at time t, and C is the constant temperature of the surrounding medium. The temperature of a cake is 390° when it is removed from the oven. The temperature in the room is 71°. In 10 minutes, the cake cools to 327°. How long will it take for the cake to cool to 135°? While solving this problem, round the value of k to seven decimal places. Round your answer to two decimal places.