Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To -C) e temperature T. C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 198°F and is left to cool in a room that has a temperature of 66"E Aher 20 minutes, the temperature of the cake is 132 F. What is the temperature of the cake after 35 minutes? -kt ,where t is the time it takes for an object to cool from temperature To to After 35 minutes, the temperature of the cake isF (Do not round until the final answer. Then round to the nearest whole number as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
icon
Related questions
Question
Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To -C) e
temperature T. C is the surounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 198°F and is left to cool in a room that has a temperature of 66"E
Ater 20 minutes, the temperature of the cake is 132 F. What is the temperature of the cake after 35 minutes?
-kt
,where t is the time it takes for an object to cool from temperature To to
After 35 minutes, the temperature of the cake isF
(Do not round until the final answer. Then round to the nearest whole number as needed.)
Question Viewer
Clear all
Check answer
Textbook
Print
80
DI
DD
DD
F3
FS
F9
F10
F12
%23
2$
3
4
7
8
9.
delet
W
E
R
Y
O P
{
S
D
G
H
* 00
< co
Transcribed Image Text:Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To -C) e temperature T. C is the surounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 198°F and is left to cool in a room that has a temperature of 66"E Ater 20 minutes, the temperature of the cake is 132 F. What is the temperature of the cake after 35 minutes? -kt ,where t is the time it takes for an object to cool from temperature To to After 35 minutes, the temperature of the cake isF (Do not round until the final answer. Then round to the nearest whole number as needed.) Question Viewer Clear all Check answer Textbook Print 80 DI DD DD F3 FS F9 F10 F12 %23 2$ 3 4 7 8 9. delet W E R Y O P { S D G H * 00 < co
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage