| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
|
b1 = b |
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).
If a mayor is elected with 79% of the votes cast and 78% of a town's 9,000 voters cast a vote, how many votes did the mayor receive?
| 5,476 | |
| 5,195 | |
| 4,493 | |
| 5,546 |
If 78% of the town's 9,000 voters cast ballots the number of votes cast is:
(\( \frac{78}{100} \)) x 9,000 = \( \frac{702,000}{100} \) = 7,020
The mayor got 79% of the votes cast which is:
(\( \frac{79}{100} \)) x 7,020 = \( \frac{554,580}{100} \) = 5,546 votes.
A tiger in a zoo has consumed 90 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?
| 7 | |
| 1 | |
| 8 | |
| 11 |
If the tiger has consumed 90 pounds of food in 6 days that's \( \frac{90}{6} \) = 15 pounds of food per day. The tiger needs to consume 195 - 90 = 105 more pounds of food to reach 195 pounds total. At 15 pounds of food per day that's \( \frac{105}{15} \) = 7 more days.
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{14\sqrt{10}}{7\sqrt{2}} \)?
| \(\frac{1}{5}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{10}}{7\sqrt{2}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{10}{2}} \)
2 \( \sqrt{5} \)