A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it is cooling at a rate of 1°C per minute. Let y = T- T where T(t) is the temperature of the coffee in degrees Celsius at time t and Te is the temperature of the surroundings in degrees Celsius A = 75 °C k = -1/44 After how many minutes is the temperature of the coffee 64°C? (Round your answer to two decimal places.) 23.19 X min

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64ºC, it is cooling at a rate of 1°C per minute.
Let y = T-T, where T(t) is the temperature of the coffee in degrees Celsius at time t and Te is the temperature of the surroundings in degrees Celsius.
A = 75
PC
k
=
-1/44
After how many minutes is the temperature of the coffee 64°C? (Round your answer to two decimal places.)
23.19
X min
Transcribed Image Text:A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64ºC, it is cooling at a rate of 1°C per minute. Let y = T-T, where T(t) is the temperature of the coffee in degrees Celsius at time t and Te is the temperature of the surroundings in degrees Celsius. A = 75 PC k = -1/44 After how many minutes is the temperature of the coffee 64°C? (Round your answer to two decimal places.) 23.19 X min
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