Find the composition n

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Reference no: EM132059975

Suppose the number of bacteria living on a plate of food is given by: N(T)=10T^2-40T+200, -1≤T≤20 Where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when left out on a picnic table in the summer sun is given by 

T(t)= 4t+10,0≤ t ≤20 Where t is the time in hours.

(a) Find the composition N(T(t))

(b) How long does the food need to be left out in order for the bacteria population to hit exactly 2,720?

Reference no: EM132059975

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