Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
-1
Step-by-step explanation:
Tip: Remember to always start from the inside, which would be g(3), in this case.
The first step in solving this problem is to solve for g(3).
To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10
- g(3) = 3^2 - 10
- g(3) = 9 - 10
- g(3) = -1
The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.
Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.
- f(-1) = 2(-1) + 1
- f(-1) = -2 + 1
- f(-1) = -1
Therefore, f[g(3)], or f(-1), equals -1
The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
The first answer is C. The information may be in a form that is difficult to use. And the second on is D. They must always be used with an equation.
