Answer:
252 in²
Step-by-step explanation:
Recall area of regular polygon is A= (1/2)*(perimeter)*(apothem)
Area = (1/2)*(63)*(7)
= 252 in²
We need convert the mixed numbers to improper fractions.
Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:
A=g≈-32
v=⌠a dt since a≈-32
v=-32t+C, where C is the initial velocity, which we are told is 20 ft/s
v=-32t+20
h=⌠v dt
h=-32t^2/2+20t+C, where C is the initial height, so what is a reasonable initial height? How about 3 ft since we are swinging a bat around maybe our waist level... maybe :P
h=-16t^2+20t+3
Your choices may have made a different assumption about the initial height of course but you did not show your choices, but certainly it will be:
h(t)=-16t^2+20t+hi, where hi is the initial height in feet.
This of course ignores air resistance and flight dynamics of a spinning ball with seams, which will make a significant difference in real life :)
Answer:
m=3/4
Step-by-step explanation:
See the attached above.
Hope it helps :)
Answer:
a) 
b) 
c) 
Step-by-step explanation:
For total cost function 
, average cost is given by 
i.e., total cost divided by number of units produced.
Marginal average cost function refers to derivative of the average cost function i.e., 
Given:
Average cost = 
a)
At x = 50 units,
b)
Average cost =
c)
Marginal average cost:
Differentiate average cost with respect to 
Take 
using quotient rule, 
Therefore,
