| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
A triathlon course includes a 300m swim, a 20.6km bike ride, and a 8.9km run. What is the total length of the race course?
| 44.4km | |
| 50.7km | |
| 29.8km | |
| 45.6km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 20.6km + 8.9km
total distance = 29.8km
Roger loaned Monica $1,000 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,070 | |
| $1,030 | |
| $1,080 | |
| $1,050 |
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 = 0.08 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $80What is (b2)4?
| b2 | |
| b8 | |
| b6 | |
| 4b2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)4What is the distance in miles of a trip that takes 2 hours at an average speed of 75 miles per hour?
| 400 miles | |
| 150 miles | |
| 135 miles | |
| 105 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 = \( 75mph \times 2h \)
150 miles
Convert b-5 to remove the negative exponent.
| \( \frac{-5}{b} \) | |
| \( \frac{1}{b^5} \) | |
| \( \frac{-1}{b^{-5}} \) | |
| \( \frac{-1}{-5b^{5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.