| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{10\sqrt{49}}{5\sqrt{7}} \)?
| 2 \( \sqrt{7} \) | |
| \(\frac{1}{2}\) \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{10\sqrt{49}}{5\sqrt{7}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{49}{7}} \)
2 \( \sqrt{7} \)
Convert z-4 to remove the negative exponent.
| \( \frac{-1}{-4z^{4}} \) | |
| \( \frac{1}{z^4} \) | |
| \( \frac{-1}{-4z} \) | |
| \( \frac{4}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Monty loaned Betty $1,300 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,417 | |
| $1,339 | |
| $1,365 | |
| $1,404 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,300
i = 0.09 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $117How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 8 | |
| 4 | |
| 9 | |
| 2 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = -7 |
|
a = 7 or a = -7 |
|
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).