Solve the problem.Sketch a graph that depicts the amount of water in a 50-gallon tank. The tank is initially full, and then a pump is used to take water out of the tank at a rate of 6 gallons per minute. The pump is turned off after 5 minutes. At that point, the pump is changed to one that will pump water into the tank. The change takes 2 minutes and the water level is unchanged during the switch. Then, water is pumped into the tank at a rate of 2 gallons per minute for 3 minutes.

A.

B.

C.

D.


Answer: C

Mathematics

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A decorative ribbon costs $7.2 a yard. Find the price of the ribbon per one inch.

A. 0.21 B. 0.72 C. 72 D. 0.2

Mathematics

Factor out the greatest common factor.2(x - 3)3 + 5(x - 3) - (x - 3)2

A. (x - 3)(2x2 - 13x + 20) B. (x - 3)(2x2 - 13x + 26) C. (x - 3)(2x2 - 11x + 26) D. (x - 3)(2x2 - 13x - 26)

Mathematics

Find the domain of the function.

A. {x|6 ? x ? 23} B. {x|x ? -6} C. {x|-6 ? x ? 23} D. {x|-6 ? x < 6 or 6 < x ? 23}

Mathematics

A capsule is targeted to contain 50 mg of garlic. A technician selects 25 capsules at random out of a batch of 2,000 and records the mean amount of garlic in the samples. Use the data from the samples to determine if the process is in control. 

Batch
Garlic
1

2

3

4

5

6

Batch
Garlic
7

8

9

10

11

12

Batch
Garlic
13

14

15

16

17

18

Batch
Garlic
19

20

21

22

23

24

 

A. The process is in control.
B. The process is out of control. Ten consecutive points are on one side of the target value line.
C. The process is out of control. Two points are outside the limits.
D. The process is out of control. In batch 7, the value was outside the limits.
E. The process is out of control. In batch 3, the value was outside the limits.

Mathematics