The number of bacteria in a refrigerated food product is given by
` N(T) = 27 T^2 - 144 T + 87 `, `5 < T < 35 `
where `T` is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by
`T(t) = 2 t + 1.4 ` , where `t` is the time in hours.
Find the composite function ` N(T(t)) `:
` N(T(t)) =`
Find the time when the bacteria count reaches 13451. Give your answer accurate to at least 2 decimal places.
Time Needed =
hours
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity