Answer:

The number of Bactria after 5.8 hours is 12242.
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by

where, T is the temperature of the food.
When the food is removed from the refrigerator, then the temperature is given by

We need to find the composite function N(T(t)).




where N(T(t)) is the number of bacteria after t hours.
Substitute t=5.8 in the above function.




Therefore, the number of Bactria after 5.8 hours is 12242.
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

Front ⇒

Outside ⇒

Inside ⇒

Last ⇒

Put the four terms together we have

, then collect like terms
Answer:
c2?
Step-by-step explanation: