Atruck driver travels at 59 miles per hour. the truck tires have a diameter of 30 inches. what is the angular velocity of the wheels in revolutions per minute (rpm)?

Step-by-step explanation:

we know that

1 mile=63,360 inches

step 1

Find the circumference of the wheels

we have

-----> the radius is half the diameter

substitute

assume

Remember that    

The circumference of the wheels represent one revolution

Convert 59 miles per hour to inches per minute

using proportion find the number of revolutions  

therefore

substitute

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

step-by-step explanation:

10.50 + taxes which added up to 11.50