| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
Which of the following statements about exponents is false?
all of these are false |
|
b1 = b |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
| 1 | |
| 0.2 | |
| 3.6 | |
| 9.0 |
1
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 47 | |
| 46 | |
| 53 | |
| 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
If \( \left|z + 3\right| \) + 4 = 2, which of these is a possible value for z?
| -4 | |
| -2 | |
| -5 | |
| -21 |
First, solve for \( \left|z + 3\right| \):
\( \left|z + 3\right| \) + 4 = 2
\( \left|z + 3\right| \) = 2 - 4
\( \left|z + 3\right| \) = -2
The value inside the absolute value brackets can be either positive or negative so (z + 3) must equal - 2 or --2 for \( \left|z + 3\right| \) to equal -2:
| z + 3 = -2 z = -2 - 3 z = -5 | z + 3 = 2 z = 2 - 3 z = -1 |
So, z = -1 or z = -5.
Find the average of the following numbers: 12, 10, 15, 7.
| 12 | |
| 9 | |
| 11 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 10 + 15 + 7}{4} \) = \( \frac{44}{4} \) = 11