After sitting out of a refrigerator for a while, a turkey at room temperature (70°F) is placed into an oven. The oven temperature is 345°F. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven, as given by the formula below: T = T, + (To Ta)ekt Ta the temperature surrounding the object To the initial temperature of the object t = the time in hours T = the temperature of the object after t hours k = decay constant %3D %3D The turkey reaches the temperature of 120°F after 2.5 hours. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 6 hours. Enter only the final temperature into the input box.
After sitting out of a refrigerator for a while, a turkey at room temperature (70°F) is placed into an oven. The oven temperature is 345°F. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven, as given by the formula below: T = T, + (To Ta)ekt Ta the temperature surrounding the object To the initial temperature of the object t = the time in hours T = the temperature of the object after t hours k = decay constant %3D %3D The turkey reaches the temperature of 120°F after 2.5 hours. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 6 hours. Enter only the final temperature into the input box.
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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Question
![After sitting out of a refrigerator for a while, a turkey at room temperature (70°F) is
placed into an oven. The oven temperature is 345°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (To – Ta)e¯ht
-kt
Ta =the temperature surrounding the object
To =the initial temperature of the object
t
the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 120°F after 2.5 hours. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the turkey, to the nearest
degree, after 6 hours.
Enter only the final temperature into the input box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95455f09-f56f-4a3d-900c-755af2260916%2F15884195-a09d-4df5-a2d5-7e78723582c6%2Fzf8sj08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:After sitting out of a refrigerator for a while, a turkey at room temperature (70°F) is
placed into an oven. The oven temperature is 345°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (To – Ta)e¯ht
-kt
Ta =the temperature surrounding the object
To =the initial temperature of the object
t
the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 120°F after 2.5 hours. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the turkey, to the nearest
degree, after 6 hours.
Enter only the final temperature into the input box.
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