| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is \( \frac{4c^5}{1c^4} \)?
| \(\frac{1}{4}\)c9 | |
| 4c-1 | |
| 4c | |
| \(\frac{1}{4}\)c-1 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{4c^5}{c^4} \)
\( \frac{4}{1} \) c(5 - 4)
4c
Convert 4,945,000 to scientific notation.
| 4.945 x 106 | |
| 4.945 x 107 | |
| 4.945 x 10-5 | |
| 4.945 x 10-6 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
4,945,000 in scientific notation is 4.945 x 106
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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integer |
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fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = -7 |
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a = 7 |
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none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
How many hours does it take a car to travel 45 miles at an average speed of 45 miles per hour?
| 3 hours | |
| 1 hour | |
| 4 hours | |
| 8 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 = \( \frac{45mi}{45mph} \)
1 hour