A sphere has a volume of 4500pi cubic inches. find the surface area of the sphere.

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Answer 1

Answer: $V=(4 \pi r^3)/(3)\n \n 4500\pi=(4 \pi r^3)/(3)\n \n 13500 \pi=4 \pi r^3\n \n r^3=(13500 \pi)/(4 \pi)\n \n r^3=3375 \n \n \boxed{r=15 in}$

$S=4 \pi r^2\n \n S=4 \pi 15^2\n \n \boxed{S=900 \pi \ in^2}$

Answer 2

Answer: $Cube : \ V=4500 \ \pi \ in^3\n\nV=(4)/(3)\pi r^3 \n \n4500 \pi =(4)/(3)\pi r^3 \ \ / \cdot ((3)/(4\pi))\n \n(3)/(4\pi)\cdot 4500 \pi =(3)/(4\pi)\cdot (4)/(3) \pi r^3\n \nr^3 =3*1125$

$r^3 = 3375 \n\nr=\sqrt[3]{3375}\n \nr=15 \ in \n \n the \ surface \ area : \n\nSA = 4 \pi r^2 \n \nSA=4 \pi \cdot 15^2 = 4\cdot 225 \pi = 900 \pi \ in^2$

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Suppose gil can write a poem in 1 hour, holly can write a poem in 2 hours, and ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. How much more would it cost a literary magazine to commission 19 poems per day than 18 poems per day?

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We use the Work formula to solve for the unknown in the problem which is W = F x d. First, we solve for the Net Force acting on the car. The Net Force is the summation of all forces acting on the object. For this case, we assume that Friction Force is negligible thus the Net Force is equal to:

F = mgsinα in terms of SI units and in terms of english units we have F = m(g/g₀)(sin α) where g₀ is the proportionality factor, 32.174 ft lb-m / lb-f s²

F = 2500 (32.174/32.174) (sin 12°) = 519.78 lb

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Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square

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The vertex will be (3/2, - 33/4)

HELP!!!!!!!!!!!!!!!!Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used. Complete the table by classifying the polynomials by degree and number of terms.

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$2x^(2)$ is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic.

-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)

3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.

Finally, $-3x^(2)$ -6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic.

The complete table by classifying the polynomials by degree and number of terms is

2x² : This is a quadratic equation because be it has a power of 2. It is a monomial because if has just one term, 2x²

-2 : A constant because it has no variable. A monomial because it's just one term.

3x - 9: This is a linear equation because be it's highestPower is 1. It is binomial because there are two terms, 3x and -9

-3x² - 6x + 9: This is a quadratic equation because it has the highestPower as 2. It is a trinomial because it has 3 terms, -3x², -6x and +9

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It’s the answer is 68

A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?a. 38x2
b. 42x2 – 4x2
c. 42x2 – 2x2
d. 38x2

Answers

Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool:
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2
A = 42 x² - 4 x² π
Answer: B ) 42 x² - 4 x² π

Charles drove to and from work a total of 85 times in two months and was stopped by a red light 37 times. What is the relative frequency of stopping at a red light while he is going to and from work?WILL GIVE BRAINLIST

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Answer:

try dividing

Step-by-step explanation:

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