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The number N of bacteria in a refrigerated food is given by N(T) = 10T2 20T+ 500, 1 5 T5 20, where T is the

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The number N of bacteria in a refrigerated food is given by N(T) = 10T2 20T+ 500, 1 5 T5 20, where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t)=4t+2, ostss where t is the time in hours. (a) Find (N o T)(t). Interpret (N 0 T)(t). O This represents the increase in the number of bacteria in the food from time t to t + 1. O This represents the rate at which the number of bacteria in the food is increasing as a function of time. O This represents the rate at which the temperature of the food is changing as a function of time. O This represents the number of bacteria in the food as a function of time. (b) Find the bacteria count after 0.5 hour. (Round your answer to the nearest whole number.) N(T(0.5)) = |:] bacteria (c) Find the time when the bacteria count reaches 1100. (Round your answer to three decimal places.)

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