| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
Convert c-4 to remove the negative exponent.
| \( \frac{-1}{-4c} \) | |
| \( \frac{-1}{-4c^{4}} \) | |
| \( \frac{1}{c^{-4}} \) | |
| \( \frac{1}{c^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is (a2)4?
| a-2 | |
| a6 | |
| a2 | |
| a8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a2)4If a car travels 100 miles in 5 hours, what is the average speed?
| 60 mph | |
| 35 mph | |
| 20 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 4 complete crews out on jobs?
| 14 | |
| 4 | |
| 19 | |
| 17 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 4 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 4 x 2 = 8 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 8 - 4 = 4 new staff for the busy season.
How many hours does it take a car to travel 240 miles at an average speed of 30 miles per hour?
| 6 hours | |
| 8 hours | |
| 4 hours | |
| 5 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{240mi}{30mph} \)
8 hours