| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.91 |
| Score | 0% | 78% |
What is (y4)5?
| y-1 | |
| y20 | |
| 4y5 | |
| 5y4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y4)5What is the distance in miles of a trip that takes 6 hours at an average speed of 40 miles per hour?
| 240 miles | |
| 120 miles | |
| 45 miles | |
| 360 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 6h \)
240 miles
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 26 | |
| 28 | |
| 31 | |
| 24 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
A triathlon course includes a 500m swim, a 20.7km bike ride, and a 9.5km run. What is the total length of the race course?
| 30.7km | |
| 35.6km | |
| 46.7km | |
| 52.6km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 20.7km + 9.5km
total distance = 30.7km
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
none of these is correct |
|
a = -7 |
|
a = 7 or a = -7 |
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).