To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
There should be no problem in finding the value of the unknown variable "b" in the equation given in the question.The equation is solvable for finding the value of "b" because it is the only unknown variable in the single equation that is given in the question.
45 = 3b + 69
Let us reverse both sides of the equation first. then, we get
3b + 69 = 45
3b = 45 - 69
3b = - 24
b = - (24/3)
= - 8
So from the above deduction, we can easily conclude that the value of b in the given equation is -8.
Answer:
9.28 × 10⁻⁴ cm/year.
Step-by-step explanation:
Let d(t₀) represent the initial position of Kauai island = 0 km from the hot spot. at time t = 0 million years. Let d(t₁) represent its final position at time t₁ = 5.1 million years later in the North - west direction. d(t₁)=473 km = 4.73 × 10³ cm. The average speed v = total distance/ total time =[d(t₁) - d(t₀)]/t₁₋t₀ = (4.73 × 10³ - 0)/(5.1 × 10⁶ - 0) = 4.73/5.1 × 10³⁻⁶ = 9.275 × 10⁻⁴ cm/year ≅ 9.28 × 10⁻⁴ cm/year
Answer:
200%
Step-by-step explanation:
Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y = 
Square of x = 
Difference of the cube of y and the square of x = 
Five times the difference of the cube of y and the square of x is:
Required expression = 
Therefore, the correct option is C. The required algebraic expression for the given statement is
.