Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere (V) = 4/3 π radius³
Replacing with the values given and solving for V (volume)
V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters
The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Feel free to ask for more if needed or if you did not understand something.
You can use expanded form: 4 X 700, 4 X 50, 4 X 4, = 3016.
You can use the Distributive Property of Multiplication: (4 X 500) + (4 X 254) = 3016.
Answer/Step-by-step explanation:
✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

Rate of change (m) = 15
✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.
✔️Initial value is the same as the y-intercept.
To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
The initial value/y-intercept = $30
✅In this context, $30 is the start-up fee to cover art supplies.
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
Answer:
$5728
Step-by-step explanation:
$4000 is deposited into an account with 4.8% interest.
We assume that there are no withdrawals from the account.
Then we are asked the determine the amount will be there in the account after 9 years.
From the formula of simple interest, the final amount in the account after 9 years will be
dollars. (Answer)