| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
|
b1 = 1 |
|
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).
In a class of 22 students, 6 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 17 | |
| 8 | |
| 13 | |
| 16 |
The number of students taking German or Spanish is 6 + 15 = 21. Of that group of 21, 7 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 21 - 7 = 14 who are taking at least one language. 22 - 14 = 8 students who are not taking either language.
A triathlon course includes a 300m swim, a 40.4km bike ride, and a 8.6km run. What is the total length of the race course?
| 51.6km | |
| 41.6km | |
| 56.3km | |
| 49.3km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 40.4km + 8.6km
total distance = 49.3km
Which of the following is not an integer?
-1 |
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1 |
|
\({1 \over 2}\) |
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0 |
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 the distance in miles of a trip that takes 3 hours at an average speed of 20 miles per hour?
| 105 miles | |
| 60 miles | |
| 100 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 = \( 20mph \times 3h \)
60 miles