The number of bacteria in a refrigerated food product is given by N(T) = 27T² – 64T + 20, 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) = 3t + 1.8 , where t is the time in hours. Find the composite function N(T(t)): N(T(t)) Find the time when the bacteria count reaches 4958. Give your answer accurate to at least 2 decimal places. Time Needed = hours

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Chapter2: Matrices
Section2.2: Properties Of Matrrix Operations
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The number of bacteria in a refrigerated food product is given by N(T) = 27T2 – 64T+ 20,
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) = 3t + 1.8 , where t is
the time in hours.
Find the composite function N(T(t)):
N(T(t))
Find the time when the bacteria count reaches 4958. Give your answer accurate to at least 2 decimal
places.
Time Needed =
hours
Transcribed Image Text:The number of bacteria in a refrigerated food product is given by N(T) = 27T2 – 64T+ 20, 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) = 3t + 1.8 , where t is the time in hours. Find the composite function N(T(t)): N(T(t)) Find the time when the bacteria count reaches 4958. Give your answer accurate to at least 2 decimal places. Time Needed = hours
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