9-32. Hernando needs to replace the hot water tank at his house. He estimates that his family needs a tank that can hold at
least 75 gallons of water. His local water tank supplier has a cylindrical model that has a diameter of 2 feet and a height
of 3 feet. If 1 gallon of water is approximately 0.1337 cubic feet, determine if the supplier's tank will provide enough
water.

The suppliers tank won't deliver enough water.

Step-by-step explanation:

Hernando needs at least 75 gallons of water . His supplier has a cylindrical model that has a diameter of 2 ft and height of 3 ft. The volume of water at which his supplier tank can accommodate can be computed as follows .

Since the suppliers model is a cylinder we will use volume of a cylinder formula.

volume = πr²h

where

r = radius = 2/2 = 1 ft

h = height = 3 ft

volume = π × 1² × 3

volume = 3.14 × 3

volume = 9.42  ft³

The suppliers volume of water is 9.42 ft³ and Hernando needs  at least 75 gallons of water.

Since

0.1337 ft³ = 1 gallon of water

9.42 ft³ = ? gallon of water

cross multiply

gallon of water = 9.42/0.1337

gallon of water = 70.4562453254

gallon of water = 70.47 gallons.

The suppliers tank won't deliver enough water.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answer:   rlly

step-by-step explanation: