Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)= T0+Ce-kt, where C and k are constants. A cup of coffee with temperature 120oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 53oF. Use Newton's law of Cooling to find the coffee's temperature after 20 minutes. After 20 minutes the coffee will have a temperature of _____oF. (Round to the nearest integer as needed.)
Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)= T0+Ce-kt, where C and k are constants. A cup of coffee with temperature 120oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 53oF. Use Newton's law of Cooling to find the coffee's temperature after 20 minutes. After 20 minutes the coffee will have a temperature of _____oF. (Round to the nearest integer as needed.)
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)= T0+Ce-kt, where C and k are constants.
A cup of coffee with temperature 120oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 53oF. Use Newton's law of Cooling to find the coffee's temperature after 20 minutes.
After 20 minutes the coffee will have a temperature of _____oF. (Round to the nearest integer as needed.)
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