| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is \( \sqrt{\frac{9}{4}} \)?
| 1\(\frac{2}{5}\) | |
| 2\(\frac{2}{3}\) | |
| 1\(\frac{1}{2}\) | |
| 4 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{4}} \)
\( \frac{\sqrt{9}}{\sqrt{4}} \)
\( \frac{\sqrt{3^2}}{\sqrt{2^2}} \)
\( \frac{3}{2} \)
1\(\frac{1}{2}\)
Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
|
b0 = 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).
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 39 | |
| 54 | |
| 46 | |
| 44 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
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\({7 \over 5} \) |
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\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Damon loaned April $100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $109 | |
| $104 | |
| $106 | |
| $108 |
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 $100
i = 0.08 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $8