| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
What is (y2)3?
| y6 | |
| y5 | |
| 2y3 | |
| 3y2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y2)3What is 6\( \sqrt{5} \) x 6\( \sqrt{4} \)?
| 36\( \sqrt{9} \) | |
| 12\( \sqrt{4} \) | |
| 36\( \sqrt{4} \) | |
| 72\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{5} \) x 6\( \sqrt{4} \)
(6 x 6)\( \sqrt{5 \times 4} \)
36\( \sqrt{20} \)
Now we need to simplify the radical:
36\( \sqrt{20} \)
36\( \sqrt{5 \times 4} \)
36\( \sqrt{5 \times 2^2} \)
(36)(2)\( \sqrt{5} \)
72\( \sqrt{5} \)
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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fraction |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If a car travels 105 miles in 3 hours, what is the average speed?
| 30 mph | |
| 75 mph | |
| 40 mph | |
| 35 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 there were a total of 50 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 17% | |
| 5% | |
| 1% |
You have 4 out of the total of 50 raffle tickets sold so you have a (\( \frac{4}{50} \)) x 100 = \( \frac{4 \times 100}{50} \) = \( \frac{400}{50} \) = 8% chance to win the raffle.