After sitting on a shelf for a while, a can of soda at a room temperature (69^\circ69∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37^\circ37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below:After sitting on a shelf for a while, a can of soda at a room temperature (69^\circ69∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37^\circ37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below: The can of soda reaches the temperature of 54^\circ54∘F after 40 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 95 minutes. Enter only the final temperature into the input box.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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After sitting on a shelf for a while, a can of soda at a room temperature (69^\circ69∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37^\circ37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below:After sitting on a shelf for a while, a can of soda at a room temperature (69^\circ69∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37^\circ37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below:

The can of soda reaches the temperature of 54^\circ54∘F after 40 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 95 minutes.

Enter only the final temperature into the input box.

 

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