| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 18 | |
| 28 | |
| 34 | |
| 26 |
The equation for this sequence is:
an = an-1 + 5
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 + 5
a6 = 21 + 5
a6 = 26
If a mayor is elected with 70% of the votes cast and 83% of a town's 10,000 voters cast a vote, how many votes did the mayor receive?
| 5,727 | |
| 7,470 | |
| 6,806 | |
| 5,810 |
If 83% of the town's 10,000 voters cast ballots the number of votes cast is:
(\( \frac{83}{100} \)) x 10,000 = \( \frac{830,000}{100} \) = 8,300
The mayor got 70% of the votes cast which is:
(\( \frac{70}{100} \)) x 8,300 = \( \frac{581,000}{100} \) = 5,810 votes.
Convert z-2 to remove the negative exponent.
| \( \frac{-1}{z^{-2}} \) | |
| \( \frac{-2}{-z} \) | |
| \( \frac{1}{z^2} \) | |
| \( \frac{2}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
4! = ?
3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
|
5 x 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.
What is \( \sqrt{\frac{49}{9}} \)?
| 3\(\frac{1}{2}\) | |
| 1\(\frac{1}{8}\) | |
| \(\frac{3}{5}\) | |
| 2\(\frac{1}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{9}} \)
\( \frac{\sqrt{49}}{\sqrt{9}} \)
\( \frac{\sqrt{7^2}}{\sqrt{3^2}} \)
\( \frac{7}{3} \)
2\(\frac{1}{3}\)