The number of bacteria in a refrigerated food product is given by $\displaystyle {N}{\left({T}\right)}={26}{T}^{{2}}-{46}{T}+{5}$, $\displaystyle {2}<{T}<{32}$ where $\displaystyle {T}$ is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by $\displaystyle {T}{\left({t}\right)}={4}{t}+{1.3}$ , where $\displaystyle {t}$ is the time in hours.

Find the composite function $\displaystyle {N}{\left({T}{\left({t}\right)}\right)}$:
$\displaystyle {N}{\left({T}{\left({t}\right)}\right)}=$ Preview Question 6 Part 1 of 2  

Find the time when the bacteria count reaches 23283. Give your answer accurate to at least 2 decimal places.
Time Needed = Preview Question 6 Part 2 of 2   hours