A company that manufactures and ships widgets has two different sizes for boxes. One size box has a volume modeled by the function fx=x3-500x+3000. The other size box has a volume modeled by the function gx=4x3-20x2-240x. Write a simplified polynomial expression with terms in descending order that models the combined volume for one small box and one large box.

The diameter of a ball is 8 in. what is the volume of the ball? use 3.14 for pi. enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

If angle b measures 25°, what is the approximate perimeter of the triangle below? 10.3 units 11.8 units 22.1 units 25.2 units

The mountain springs water company has two departments, purifying and bottling. the bottling department received 67,000 liters from the purifying department. during the period, the bottling department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. the ending work in process was 5,000 liters. how many liters were started and completed during the period?