An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. if all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? a. 3 inches b. 4 inches c. 6 inches d. 8 inches e. 9 inches

We are supposing that the 3392.92 cubic inches of liquid will fit perfectly into the 30 glass spheres.

The volume of a sphere is:

(4/3) * pi * r^3

30 of these would be:

30 * [(4/3) * pi * r^3] = 3392.92

Divide by 30 and 4/3:

pi * r^3 = 84.823

Divide by pi and cube root each side:

r is about 3 inches, meaning the diameter is about 6 inches.

The answer is (C).

2t+4

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: