The numerical value of the volume of a sphere is equal to the numerical value of its surface area. Find the exact value of the radius of this sphere.

The radius of this sphere is .

Step-by-step explanation:

The volume of a sphere of radius is:

.

The surface area of a sphere of radius is:

.

Equate the right-hand side of these two expressions and solve for :

.

In other words, the radius of this sphere is .

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt