| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Convert z-2 to remove the negative exponent.
| \( \frac{1}{z^2} \) | |
| \( \frac{-1}{-2z^{2}} \) | |
| \( \frac{-1}{z^{-2}} \) | |
| \( \frac{2}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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greatest common factor |
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least common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{-5y^9}{8y^3} \)?
| -\(\frac{5}{8}\)y3 | |
| -1\(\frac{3}{5}\)y6 | |
| -\(\frac{5}{8}\)y6 | |
| -1\(\frac{3}{5}\)y-6 |
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:
\( \frac{-5y^9}{8y^3} \)
\( \frac{-5}{8} \) y(9 - 3)
-\(\frac{5}{8}\)y6
Which of the following is not a prime number?
9 |
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2 |
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5 |
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7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 50 | |
| 40 | |
| 34 | |
| 29 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{55}{100} \) = \( \frac{55 x 30}{100} \) = \( \frac{1650}{100} \) = 16 shots
The center makes 40% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{16}{\frac{40}{100}} \) = 16 x \( \frac{100}{40} \) = \( \frac{16 x 100}{40} \) = \( \frac{1600}{40} \) = 40 shots
to make the same number of shots as the guard and thus score the same number of points.