Answer:
The steps have been shown in the solution below
Step-by-step explanation:
LHS=RHS Hence, proved.
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
percentage decrease is 70%
Step-by-step explanation:
To find percentage decrease of 2 quantities, we have to find the difference of the quantities and divide by the original quanity. Then we multiply by 100 to find the PERCENTAGE.
We will use formula:
Where
"New" is the latest quantity
"Old" is the first (previous) quantity
Here, New = 5.3 & Old = 17.71
We substitute into formula and find:
So we can say that the percentage decrease is 70%
Answer:
- 66
Step-by-step explanation:
Evaluate g(- 4) then substitute the value obtained into f(x) , that is
g(- 4) = - 2(- 4)² = - 2 × 16 = - 32, then
f(- 32) = 2(- 32 - 1) = 2 × - 33 = - 66