According to Newton's law of Cooling, if a body with temperature T1, is placed in surroundings with temperature T0, different from that of T1, the body will either cool or warm to temperature T(t) after t minutes, where T(t)=T0+(T1-T0)e-kt. A cup of coffee with temperature 155oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 69oF. 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)

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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According to Newton's law of Cooling, if a body with temperature T1, is placed in surroundings with temperature T0, different from that of T1, the body will either cool or warm to temperature T(t) after t minutes, where T(t)=T0+(T1-T0)e-kt.

A cup of coffee with temperature 155oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 69oF. 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)

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