| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is \( \frac{14\sqrt{20}}{2\sqrt{5}} \)?
| 7 \( \sqrt{4} \) | |
| 7 \( \sqrt{\frac{1}{4}} \) | |
| \(\frac{1}{7}\) \( \sqrt{4} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{4}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{20}}{2\sqrt{5}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{20}{5}} \)
7 \( \sqrt{4} \)
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 |
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a = 7 or a = -7 |
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a = -7 |
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).
What is -5b2 - 6b2?
| 11b2 | |
| -11b2 | |
| b-4 | |
| b2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-5b2 - 6b2
(-5 - 6)b2
-11b2
If there were a total of 400 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 4% | |
| 2% | |
| 8% |
You have 8 out of the total of 400 raffle tickets sold so you have a (\( \frac{8}{400} \)) x 100 = \( \frac{8 \times 100}{400} \) = \( \frac{800}{400} \) = 2% chance to win the raffle.