| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
| 0.7 | |
| 1 | |
| 2.7 | |
| 7.2 |
1
The total water usage for a city is 25,000 gallons each day. Of that total, 32% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 8,700 | |
| 7,500 | |
| 5,800 | |
| 4,400 |
62% of the water consumption is industrial use and 32% is personal use so (62% - 32%) = 30% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{30}{100} \) x 25,000 gallons = 7,500 gallons.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
|
b1 = b |
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).
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 2 | |
| 9 | |
| 8 | |
| 4 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2
What is (z2)3?
| z6 | |
| z-1 | |
| 2z3 | |
| z5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)3