| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
What is the distance in miles of a trip that takes 8 hours at an average speed of 70 miles per hour?
| 560 miles | |
| 160 miles | |
| 50 miles | |
| 225 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 8h \)
560 miles
What is (a4)4?
| a16 | |
| 4a4 | |
| a0 | |
| a8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a4)4Solve for \( \frac{2!}{5!} \)
| 5 | |
| 15120 | |
| \( \frac{1}{60} \) | |
| \( \frac{1}{120} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common multiple |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 9 | |
| 22 | |
| 21 | |
| 16 |
The equation for this sequence is:
an = an-1 + 3
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
a6 = 13 + 3
a6 = 16