The number N of bacteria in a refrigerated food is given by
N(T) = 10T2 − 20T + 500, 1 ≤ T ≤ 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) = 3t + 2, 0 ≤ t ≤ 6
where t is the time in hours.
a) Find the composition (N ∘ T)(t).
b.) Find the time when the bacteria count reaches 650. (Round your answer to three decimal places.) 750
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