The number of bacteria in a refrigerated food product is given by N(T) = 23T 2
Question:
The number of bacteria in a refrigerated food product is given by
N(T) = 23T2 − 56T+ 1, 3 < T < 33,
Where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.5, where t is the time in hours.
a. Find the composite function N(T(t)).
b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.
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NT 23T 2 56T 1 Tt 5t 15 ANS A NTt N5t15 235t15 2 565t15 1 575t 2 345t 5175 280t 84 1 575t 2 65t 3125 ...View the full answer
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