Using the equation which models weight of cat in terms of amount of food fed, the weight of the cat will be : 151.11 ounces
<u>Given the equation</u> :
- <em>g = Amount of food in grams </em>
<u>Substituting g = 13 into the equation</u> :
W = 0.86(13)² - 0.01(13) +5.9
W = 0.86(169) - 0.13 + 5.9
W = 145.34 - 0.13 + 5.9
W = 151.11 ounces
Therefore, the weight of the cat will be 151.11 ounces
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Critical points occur when

, which happens for

and

.
Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (

), then a maximum occurs; if it's convex (

), then a minimum occurs.
You have

and so


This means a maximum of

and a minimum of

.
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = 
The number of pieces of rolls in each plate = 
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Answer:
C Population
Step-by-step explanation:
Population
The above case is an example of population survey. Here a set of 56 surveys have been performed with set of 56 students. The survey is conducted on a large scale. In statistics a population is set of similar items or events which is of the interest for some event or experiment. Since, the above experiment fits the definition of the Population, it is example of population survey.