| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Which of the following is not a prime number?
7 |
|
2 |
|
9 |
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5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is (z2)5?
| 5z2 | |
| z10 | |
| z3 | |
| z-3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)5In a class of 15 students, 6 are taking German and 7 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 5 | |
| 14 | |
| 13 |
The number of students taking German or Spanish is 6 + 7 = 13. Of that group of 13, 3 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 13 - 3 = 10 who are taking at least one language. 15 - 10 = 5 students who are not taking either language.
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
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b1 = b |
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b0 = 1 |
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).
A tiger in a zoo has consumed 54 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 90 pounds?
| 6 | |
| 1 | |
| 15 | |
| 3 |
If the tiger has consumed 54 pounds of food in 9 days that's \( \frac{54}{9} \) = 6 pounds of food per day. The tiger needs to consume 90 - 54 = 36 more pounds of food to reach 90 pounds total. At 6 pounds of food per day that's \( \frac{36}{6} \) = 6 more days.