| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is \( 5 \)\( \sqrt{28} \) + \( 7 \)\( \sqrt{7} \)
| 35\( \sqrt{196} \) | |
| 17\( \sqrt{7} \) | |
| 35\( \sqrt{28} \) | |
| 35\( \sqrt{4} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{28} \) + 7\( \sqrt{7} \)
5\( \sqrt{4 \times 7} \) + 7\( \sqrt{7} \)
5\( \sqrt{2^2 \times 7} \) + 7\( \sqrt{7} \)
(5)(2)\( \sqrt{7} \) + 7\( \sqrt{7} \)
10\( \sqrt{7} \) + 7\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
10\( \sqrt{7} \) + 7\( \sqrt{7} \)Which of the following statements about exponents is false?
b1 = 1 |
|
b1 = b |
|
b0 = 1 |
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all of these are false |
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).
Find the average of the following numbers: 17, 11, 16, 12.
| 18 | |
| 13 | |
| 12 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 11 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
How many hours does it take a car to travel 245 miles at an average speed of 35 miles per hour?
| 8 hours | |
| 7 hours | |
| 2 hours | |
| 9 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 = \( \frac{245mi}{35mph} \)
7 hours
11 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 1 | |
| 6 | |
| 9 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 11 people needing transportation leaving 11 - 10 = 1 who will have to find other transportation.