the amount of microbes on a plate is given by: N(T) = 10T2 - 40T + 200 , -1≤ T≤ 20 where T is the temperature of the food given in Celsius NOT Fahrenheit.  The food got left on the counter infront of a window on a hot summer day given by T (t) = 4t + 10 , ≤ 20 where t is in hrs (hours) i) what is the composition of N(T(t)) ii) How long (hours) will the food need to be left out for the microbes number to reach 4160?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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the amount of microbes on a plate is given by: N(T) = 10T2 - 40T + 200 , -1≤ T≤ 20 where T is the temperature of the food given in Celsius NOT Fahrenheit.  The food got left on the counter infront of a window on a hot summer day given by T (t) = 4t + 10 , ≤ 20 where t is in hrs (hours)

i) what is the composition of N(T(t))

ii) How long (hours) will the food need to be left out for the microbes number to reach 4160?

 
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