Answer:
36pi
Step-by-step explanation:
the volume of a sphere is equal to 4/3 x pi x r^3
the radius is half of the diameter
3^3=27
27x4/3=36
36pi
Given , revenue function : 
Cost function 
Profit = Revenue - Cost
Hence, P = R(x) - C(x)
Total revenue for x = 12000 is 
Total cost for x = 12000, 
Profit = 60000-28500 = 31500
Answer = 31500
The domain of the function that will be derived from the given situation should be restricted to include only the positive integers. This is because we can count the 1/2 or 2/3 or any fraction of a person. Further, there are also no negative number of persons.
Both terms (1/3b and -1/3) contain the term 1/3. Factoring this out, we get:
1/3(b - 1)
Answer:
1/2 and 3
Step-by-step explanation:
The quadratic formula is as given:
( -b±√(b^2-4ac) )/2a
To use it, plug in the a,b and c values.
ax^2+bx+c
In this case a is equal to 2, b is equal to -7, and c is equal to 3
plugging it into our formula gives us:
(-(-7)±√(-7^2-4*2*3) )/2*2
Which is equal to:
7±√(49-24) / 4
= 7±√25 / 4
=7±5 / 4
=2/4, 12/4= 1/2, 3
