A roast turkey is taken from an oven when its temperaturehas reached  185  °  F  and is placed on a table in a roomwhere the temperature is 75 °  F .(a) If the temperature of the turkey 150 ° F  is after half anhour, what is the temperature after 45 minutes?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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A roast turkey is taken from an oven when its temperature
has reached  185  °  F  and is placed on a table in a room
where the temperature is 75 °  F .
(a) If the temperature of the turkey 150 ° F  is after half an
hour, what is the temperature after 45 minutes?

Expert Solution
Step 1

Apply Newton’s law of cooling,

   Calculus homework question answer, step 1, image 1

Given temperature,

 Calculus homework question answer, step 1, image 2

Calculus homework question answer, step 1, image 3

 

Step 2

 

Solution of a differential equation,       

Calculus homework question answer, step 2, image 1

Given after 30 min, Turkey is   

 Calculus homework question answer, step 2, image 2

 

 

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