If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 23 +69e-t/53. What is the average temperature of the coffee during the first 16 minutes? (Round your answer to two decimal places.) average temp = °C

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
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If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then,
according to Newton's Law of Cooling, the temperature of the coffee after t minutes is
T(t) = 23 + 69e-t/53. What is the average temperature of the coffee during the first 16 minutes?
(Round your answer to two decimal places.)
average temp =
°C
Transcribed Image Text:If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 23 + 69e-t/53. What is the average temperature of the coffee during the first 16 minutes? (Round your answer to two decimal places.) average temp = °C
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