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 F(t) = To + Cb¹, where F(t) is the temperature of the body at time t, To 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 98° to 50° after 15 minutes in a room at 23°. How long will it take to cool to 30°? It will take approximately minutes.
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 F(t) = To + Cb¹, where F(t) is the temperature of the body at time t, To 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 98° to 50° after 15 minutes in a room at 23°. How long will it take to cool to 30°? It will take approximately minutes.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text: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 F(t) = To + Cb¹, where F(t) is the temperature of the body at time t, To 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 98° to 50° after 15 minutes in a room at 23°. How long will it take to cool to 30°?
It will take approximately minutes.
(Round to the nearest integer as needed.)
(...)
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