| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 39 | |
| 47 | |
| 54 |
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
What is (y5)3?
| y-2 | |
| y8 | |
| 5y3 | |
| y15 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)3Which of these numbers is a factor of 40?
| 39 | |
| 7 | |
| 24 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
What is \( \frac{12\sqrt{8}}{6\sqrt{2}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{2} \) | |
| 2 \( \sqrt{4} \) | |
| 4 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{8}}{6\sqrt{2}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{8}{2}} \)
2 \( \sqrt{4} \)
How many hours does it take a car to travel 440 miles at an average speed of 55 miles per hour?
| 1 hour | |
| 2 hours | |
| 3 hours | |
| 8 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{440mi}{55mph} \)
8 hours