nours alter being introOduced into an envir nent naving9 constant temperature o is R) where are constants. A cup of coffee with temperature 145°F is placed in a freezer with temperature 0°E. After 10 minutes, the temperature of the coffee is 64°F. Use Newton's Law of Cooling to find the coffee's temperature after 15 minutes. After 15 minutes the coffee will have a temperature of°F. (Round to the nearest integer as needed.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 the environment around it. The temperature f(t) of the body at time t in
hours after being introduced into an environment having constant temperature To is f(t) = T, +Ce - kt where C and k are constants.
A cup of coffee with temperature 145°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 64°F. Use Newton's Law of Cooling to find the coffee's temperature after 15
minutes.
After 15 minutes the coffee will have a temperature of °F.
(Round to the nearest integer as needed.)
Transcribed Image Text: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 the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature To is f(t) = T, +Ce - kt where C and k are constants. A cup of coffee with temperature 145°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 64°F. Use Newton's Law of Cooling to find the coffee's temperature after 15 minutes. After 15 minutes the coffee will have a temperature of °F. (Round to the nearest integer as needed.)
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