| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
Convert c-2 to remove the negative exponent.
| \( \frac{1}{c^2} \) | |
| \( \frac{1}{c^{-2}} \) | |
| \( \frac{-2}{-c} \) | |
| \( \frac{-2}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is the distance in miles of a trip that takes 8 hours at an average speed of 30 miles per hour?
| 320 miles | |
| 180 miles | |
| 275 miles | |
| 240 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 30mph \times 8h \)
240 miles
What is (x5)4?
| x20 | |
| 5x4 | |
| 4x5 | |
| x9 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x5)4What is -3c7 x 4c3?
| -12c10 | |
| c10 | |
| c21 | |
| -12c21 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-3c7 x 4c3
(-3 x 4)c(7 + 3)
-12c10
Roger loaned Roger $1,000 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $8 | |
| $10 | |
| $60 | |
| $45 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,000
i = 0.06 x $1,000
i = $60