| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Convert z-5 to remove the negative exponent.
| \( \frac{-1}{z^{-5}} \) | |
| \( \frac{1}{z^{-5}} \) | |
| \( \frac{-1}{-5z^{5}} \) | |
| \( \frac{1}{z^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 20 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?
| 48 | |
| 19 | |
| 33 | |
| 29 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 30% 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 = \( \frac{10}{\frac{30}{100}} \) = 10 x \( \frac{100}{30} \) = \( \frac{10 x 100}{30} \) = \( \frac{1000}{30} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 |
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a = 7 or a = -7 |
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none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Simplify \( \sqrt{28} \)
| 2\( \sqrt{7} \) | |
| 5\( \sqrt{7} \) | |
| 3\( \sqrt{14} \) | |
| 6\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{28} \)
\( \sqrt{4 \times 7} \)
\( \sqrt{2^2 \times 7} \)
2\( \sqrt{7} \)
If there were a total of 400 raffle tickets sold and you bought 32 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 10% | |
| 2% | |
| 16% |
You have 32 out of the total of 400 raffle tickets sold so you have a (\( \frac{32}{400} \)) x 100 = \( \frac{32 \times 100}{400} \) = \( \frac{3200}{400} \) = 8% chance to win the raffle.