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24-04-2024
Mathematics

Answered

Newton's law of cooling relates the rate at which a body cools to the difference in temperature between the body and the environment into which it is introduced. The formula is Upper F left parenthesis t right parenthesis equals Upper T 0 plus Cb Superscript t, where F(t) is the temperature of the body at time t, Upper T 0 is the constant temperature of the environment into which the body is introduced, and C and b are constants. Use Newton's law of cooling to solve the problem below.

A cup of coffee has cooled from 93degrees to 60degrees after 14 minutes in a room at 22degrees. How long will it take to cool to 40degrees?

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