| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{27\sqrt{30}}{9\sqrt{6}} \)?
| \(\frac{1}{5}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{5} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{5}} \) | |
| 3 \( \sqrt{\frac{1}{5}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{27\sqrt{30}}{9\sqrt{6}} \)
\( \frac{27}{9} \) \( \sqrt{\frac{30}{6}} \)
3 \( \sqrt{5} \)
Which of the following is not a prime number?
9 |
|
2 |
|
5 |
|
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.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 38 | |
| 55 | |
| 48 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Convert b-3 to remove the negative exponent.
| \( \frac{3}{b} \) | |
| \( \frac{-1}{b^{-3}} \) | |
| \( \frac{1}{b^3} \) | |
| \( \frac{1}{b^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Betty scored 79% on her final exam. If each question was worth 3 points and there were 300 possible points on the exam, how many questions did Betty answer correctly?
| 93 | |
| 79 | |
| 78 | |
| 80 |
Betty scored 79% on the test meaning she earned 79% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.79 = 237 points. Each question is worth 3 points so she got \( \frac{237}{3} \) = 79 questions right.