Final answer:
To find the number of bacteria in the refrigerated product after 5.8 hours, substituting T=5.8 into the function N(T) = 20T² − 93T + 23 will provide the answer, assuming temperature is constant and ignoring the request for a composite function without the necessary inner function T(t).
Step-by-step explanation:
The student's question involves calculating the number of bacteria in a refrigerated food product based on a given quadratic function, N(T) = 20T² − 93T + 23, where T represents the temperature. However, the student is also mentioning a composite function N(T(t)) without providing the inner function T(t), which is necessary for calculating a composite function. Assuming that the temperature is constant over time, we don’t need to evaluate a composite function. Instead, let's calculate the number of bacteria after 5.8 hours by inputting T = 5.8 directly into the provided formula. Substituting T = 5.8 into the equation, we have: N(5.8) = 20(5.8)² − 93(5.8) + 23. First calculate the square of 5.8, then multiply by 20, afterwards multiply 93 by 5.8, and finally combine all the terms along with the constant 23. This computation will give us the number of bacteria at the temperature 5.8.