3.4 Exercise 120

The number of bacteria in a refrigerated food product is given by $N \left(T\right) = 23 T^{2} - 56 T + 1 ,$ $3 < T < 33 ,$ where $T$ is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by $T \left(t\right) = 5 t + 1.5 ,$ where $t$ is the time in hours.

1. ⓐFind the composite function $N \left(T \left(t\right)\right) .$
2. ⓑFind the time (round to two decimal places) when the bacteria count reaches 6752.