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ma th.com/app/student/solve/14096468/newtonsLawOfCoolingHeating G Image result for pic. G Image result for pic. Exponential Law of Heating/Cooling Oct 09, 7:22:16 PM Watch help video After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 35°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: T = Ta + (To – Ta)e Ta=the temperature surrounding the object To=the initial temperature of the object t=the time in minutes T= the temperatureof the object after t minutes k decay constant The can of soda reaches the temperature of 56 F after 20 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the earest T= Ta+ (Tb – Ta)e¬t Ta=the temperature surrounding the object To=the initial temperature of the object t%3Dthe time in minutes T the temperature of the object after t minutes k = decay constant The can of soda reaches the temperature of 56°F after 2o minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 115 minutes. Enter only the final temperature into the input box. Answer: Submit Answer attempt 1out of 2 ON

ma th.com/app/student/solve/14096468/newtonsLawOfCoolingHeating G Image result for pic. G Image result for pic. Exponential Law of Heating/Cooling Oct 09, 7:22:16 PM Watch help video After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 35°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: T = Ta + (To – Ta)e Ta=the temperature surrounding the object To=the initial temperature of the object t=the time in minutes T= the temperatureof the object after t minutes k decay constant The can of soda reaches the temperature of 56 F after 20 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the earest T= Ta+ (Tb – Ta)e¬t Ta=the temperature surrounding the object To=the initial temperature of the object t%3Dthe time in minutes T the temperature of the object after t minutes k = decay constant The can of soda reaches the temperature of 56°F after 2o minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 115 minutes. Enter only the final temperature into the input box. Answer: Submit Answer attempt 1out of 2 ON

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What's the final temperature?

ma th.com/app/student/solve/14096468/newtonsLawOfCoolingHeating G Image result for pic. G Image result for pic. Exponential Law of Heating/Cooling Oct 09, 7:22:16 PM Watch help video After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 35°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: T = Ta + (To – Ta)e Ta=the temperature surrounding the object To=the initial temperature of the object t=the time in minutes T= the temperatureof the object after t minutes k decay constant The can of soda reaches the temperature of 56 F after 20 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the earest
Transcribed Image Text:ma th.com/app/student/solve/14096468/newtonsLawOfCoolingHeating G Image result for pic. G Image result for pic. Exponential Law of Heating/Cooling Oct 09, 7:22:16 PM Watch help video After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 35°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: T = Ta + (To – Ta)e Ta=the temperature surrounding the object To=the initial temperature of the object t=the time in minutes T= the temperatureof the object after t minutes k decay constant The can of soda reaches the temperature of 56 F after 20 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the earest
T= Ta+ (Tb – Ta)e¬t Ta=the temperature surrounding the object To=the initial temperature of the object t%3Dthe time in minutes T the temperature of the object after t minutes k = decay constant The can of soda reaches the temperature of 56°F after 2o minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 115 minutes. Enter only the final temperature into the input box. Answer: Submit Answer attempt 1out of 2 ON
Transcribed Image Text:T= Ta+ (Tb – Ta)e¬t Ta=the temperature surrounding the object To=the initial temperature of the object t%3Dthe time in minutes T the temperature of the object after t minutes k = decay constant The can of soda reaches the temperature of 56°F after 2o minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 115 minutes. Enter only the final temperature into the input box. Answer: Submit Answer attempt 1out of 2 ON
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