| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Convert z-2 to remove the negative exponent.
| \( \frac{-1}{z^{-2}} \) | |
| \( \frac{1}{z^2} \) | |
| \( \frac{-2}{-z} \) | |
| \( \frac{2}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If a car travels 280 miles in 7 hours, what is the average speed?
| 50 mph | |
| 35 mph | |
| 40 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)4! = ?
4 x 3 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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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.
What is \( 5 \)\( \sqrt{27} \) - \( 5 \)\( \sqrt{3} \)
| 25\( \sqrt{81} \) | |
| 10\( \sqrt{3} \) | |
| 0\( \sqrt{27} \) | |
| 0\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{27} \) - 5\( \sqrt{3} \)
5\( \sqrt{9 \times 3} \) - 5\( \sqrt{3} \)
5\( \sqrt{3^2 \times 3} \) - 5\( \sqrt{3} \)
(5)(3)\( \sqrt{3} \) - 5\( \sqrt{3} \)
15\( \sqrt{3} \) - 5\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
15\( \sqrt{3} \) - 5\( \sqrt{3} \)The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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absolute value |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.