| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
4! = ?
4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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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.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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integer |
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fraction |
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.
What is \( 5 \)\( \sqrt{48} \) - \( 2 \)\( \sqrt{3} \)
| 3\( \sqrt{3} \) | |
| 10\( \sqrt{48} \) | |
| 3\( \sqrt{-7} \) | |
| 18\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{48} \) - 2\( \sqrt{3} \)
5\( \sqrt{16 \times 3} \) - 2\( \sqrt{3} \)
5\( \sqrt{4^2 \times 3} \) - 2\( \sqrt{3} \)
(5)(4)\( \sqrt{3} \) - 2\( \sqrt{3} \)
20\( \sqrt{3} \) - 2\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
20\( \sqrt{3} \) - 2\( \sqrt{3} \)If a car travels 105 miles in 7 hours, what is the average speed?
| 60 mph | |
| 15 mph | |
| 65 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the least common multiple of 4 and 8?
| 21 | |
| 22 | |
| 8 | |
| 14 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.