| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
4! = ?
3 x 2 x 1 |
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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 |
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.
How many hours does it take a car to travel 300 miles at an average speed of 50 miles per hour?
| 7 hours | |
| 6 hours | |
| 1 hour | |
| 3 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 = \( \frac{300mi}{50mph} \)
6 hours
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( 8 \)\( \sqrt{63} \) + \( 5 \)\( \sqrt{7} \)
| 29\( \sqrt{7} \) | |
| 13\( \sqrt{63} \) | |
| 13\( \sqrt{9} \) | |
| 40\( \sqrt{7} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{63} \) + 5\( \sqrt{7} \)
8\( \sqrt{9 \times 7} \) + 5\( \sqrt{7} \)
8\( \sqrt{3^2 \times 7} \) + 5\( \sqrt{7} \)
(8)(3)\( \sqrt{7} \) + 5\( \sqrt{7} \)
24\( \sqrt{7} \) + 5\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{7} \) + 5\( \sqrt{7} \)Find the average of the following numbers: 9, 5, 11, 3.
| 7 | |
| 2 | |
| 8 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 5 + 11 + 3}{4} \) = \( \frac{28}{4} \) = 7