Answer:
r = 3 inches
Step-by-step explanation:
The formula for the volume of a sphere is the following:
V = (4π/3)r^3
You know the volume so plug that in for V:
36π = (4π/3)r^3
27 = r^3 (multiply by 3/4π to get r^3 by itself)
r = 3 (you take the cube root of r and 27 to get the value of r)
Hope this helps :)
Answer:
Step-by-step explanation:
To find the real zeros you must match the function to zero and factor the expression.
We have a polynomial of degree 3.
We try to group the terms to perform the factorization
Now we take (x + 4) as a common factor
If we have an expression of the form 
we know that this expression is equivalent to:
In this case
So:
Finally:
The solutions are:
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
1) (m² / 9) / (n² / m)
(m² / 9) × (m / n²)
m³ / (9n²)
2) (4 / y) / (2 / (yx))
(4 / y) × (yx / 2)
2x
3) (x² / y) / (1 / y)
(x² / y) × (y / 1)
x²
4) (3 / b) / (9 / a²)
(3 / b) × (a² / 9)
a² / (3b)
5) (x² / 16) / (16 / y²)
(x² / 16) × (y² / 16)
x²y² / 256
Answer:
Step-by-step explanation:
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The applicable rules of exponents are ...
