According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To different from that of T₁, the body will either cool or warm to temperature T after t minutes, where T(t) = T₁+(T₁-Toekt. A chilled jello salad with temperature 42°F is taken from a refrigerator and placed a 68°F room. After 10 minutes, the temperature of the salad is 49°F. Use Newton's Law of Cooling to find the salad's temperature after 20 minutes. After 20 minutes the jello salad will have a temperature of (Round to the nearest integer.) °F.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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5.6.7

According to Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To different from that of
T₁, the body will either cool or warm to temperature T after t minutes, where T(t) = To +(T₁ - Tole-kt
A chilled jello salad with temperature 42°F is taken from a refrigerator and placed in a 68°F room. After 10 minutes, the temperature of
the salad is 49°F. Use Newton's Law of Cooling to find the salad's temperature after 20 minutes.
After 20 minutes the jello salad will have a temperature of F.
(Round to the nearest integer.)
Transcribed Image Text:According to Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To different from that of T₁, the body will either cool or warm to temperature T after t minutes, where T(t) = To +(T₁ - Tole-kt A chilled jello salad with temperature 42°F is taken from a refrigerator and placed in a 68°F room. After 10 minutes, the temperature of the salad is 49°F. Use Newton's Law of Cooling to find the salad's temperature after 20 minutes. After 20 minutes the jello salad will have a temperature of F. (Round to the nearest integer.)
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