Answer:
Step-by-step explanation:
The volume of a sphere is

We are told our volume is 500pi/3, so we fill that in and solve for r:

Start by multiplying both sides by 3 over 4 pi:

Simplifying gives us

Take the cubed root of both sides to get that
r = 5
Answer:
Y = X times 0.28
Step-by-step explanation:
1. You set it up as a proportionality
12/1 and 3.36/x
The x stands for how much money it takes to get 1 ounce
2. You do the old man line.
12 times x = 3.36 times 1
12x = 3.36
3. Now you divide 3.36 by 12
3.36 divided by 12
.28
4. You insert 0.28 into the problem
12 times 0.28 = 3.36
X = 0.28
So 1 ounce costs $0.28
So Y = X times 0.28
36 customers/30 days = 1.2 customers per day
30 days / 36 customers = 5/6 day per customer
Answer:
7.
I) must be true
II) 1 - 1 < 2 - 4 --> false
III) (-10)*(-10) < 1*1 --> false
IV) 1/2 < 2/10 --> false
So (B) 1 must be true
8.
x!·(x + 1)!/2 = (x + 1)!^2 / (2·(x + 1)) = (17 + 1)!^2 / (2·(17 + 1)) = 18!^2 / 6^2
(D)
9.
2·√3·6 = √((2·√3)^2 + 6^2)·h --> h = 3 --> (C)