Aspherical container with a radius of 4 ft is filled with gas that costs$12 per cubic foot what is the total value of the gas in the container

The spherical container has a radius of 4ft (where ft represents feet)

Its filled with gas that costs $12 per ft³

The value of gas in the container = ?

The volume of a sphere = 4/3r³

The volume of the container = 4/3 × × 4³ ft³

One cubic foot = $12

4/3 × × 64 = How much?

Cross multiplying gives:

4/3 × ×64 × $12 = $3216.99 (Rounded up to nearest one cent)

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: