| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Convert x-5 to remove the negative exponent.
| \( \frac{-1}{-5x} \) | |
| \( \frac{1}{x^{-5}} \) | |
| \( \frac{1}{x^5} \) | |
| \( \frac{5}{x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is (b5)2?
| b10 | |
| b3 | |
| 2b5 | |
| b-3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b5)2Solve 4 + (3 + 4) ÷ 2 x 2 - 42
| 1\(\frac{1}{3}\) | |
| 1\(\frac{3}{5}\) | |
| -5 | |
| 1\(\frac{2}{7}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 4) ÷ 2 x 2 - 42
P: 4 + (7) ÷ 2 x 2 - 42
E: 4 + 7 ÷ 2 x 2 - 16
MD: 4 + \( \frac{7}{2} \) x 2 - 16
MD: 4 + \( \frac{14}{2} \) - 16
AS: \( \frac{8}{2} \) + \( \frac{14}{2} \) - 16
AS: \( \frac{22}{2} \) - 16
AS: \( \frac{22 - 32}{2} \)
\( \frac{-10}{2} \)
-5
Ezra loaned Monica $1,300 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,365 | |
| $1,313 | |
| $1,378 | |
| $1,404 |
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 $1,300
i = 0.06 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $78A triathlon course includes a 400m swim, a 40.6km bike ride, and a 6.4km run. What is the total length of the race course?
| 64km | |
| 39.9km | |
| 57.2km | |
| 47.4km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.6km + 6.4km
total distance = 47.4km