| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Convert b-4 to remove the negative exponent.
| \( \frac{-1}{-4b} \) | |
| \( \frac{1}{b^4} \) | |
| \( \frac{-4}{-b} \) | |
| \( \frac{4}{b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
18 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 2 | |
| 8 | |
| 6 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 18 people needing transportation leaving 18 - 16 = 2 who will have to find other transportation.
In a class of 32 students, 13 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 22 | |
| 15 | |
| 25 | |
| 31 |
The number of students taking German or Spanish is 13 + 8 = 21. Of that group of 21, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 21 - 4 = 17 who are taking at least one language. 32 - 17 = 15 students who are not taking either language.
4! = ?
4 x 3 |
|
4 x 3 x 2 x 1 |
|
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 the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 67 | |
| 61 | |
| 58 | |
| 55 |
The equation for this sequence is:
an = an-1 + 4(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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61