| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
What is \( \frac{-2y^5}{2y^4} \)?
| -y | |
| -y20 | |
| -y9 | |
| -y1\(\frac{1}{4}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-2y^5}{2y^4} \)
\( \frac{-2}{2} \) y(5 - 4)
-y
Convert c-4 to remove the negative exponent.
| \( \frac{1}{c^{-4}} \) | |
| \( \frac{-1}{c^{-4}} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{-1}{-4c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many hours does it take a car to travel 180 miles at an average speed of 60 miles per hour?
| 4 hours | |
| 5 hours | |
| 3 hours | |
| 9 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 = \( \frac{180mi}{60mph} \)
3 hours
4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is \( \frac{4}{9} \) x \( \frac{1}{5} \)?
| \(\frac{4}{5}\) | |
| \(\frac{4}{45}\) | |
| \(\frac{4}{63}\) | |
| \(\frac{1}{9}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{1}{5} \) = \( \frac{4 x 1}{9 x 5} \) = \( \frac{4}{45} \) = \(\frac{4}{45}\)