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Simplify using exponent laws: 7^8 ÷ 7^4.
Correct answer(s):
- 7^4
A bag has 4 red, 2 blue, and 1 green marbles. What is the probability of choosing a red marble?
Correct answer(s):
- 4/7
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {5, 7, 8, 10, 12}, what is A′?
Correct answer(s):
- {1, 2, 3, 4, 6, 9, 11}
Add the matrices [[5, -3], [8, 6]] and [[1, 4], [-5, 5]].
Correct answer(s):
- [[6, 1], [3, 11]]
A student can choose from 2 shirts, 5 pants, and 1 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 10
Find the mean of the data set: 4, 5, 22, 27, 35.
Correct answer(s):
- 93/5
Solve for x: 3x + 14 = 47.
Correct answer(s):
- 11
Find the slope of the line passing through (-6, -6) and (-4, -1).
Correct answer(s):
- 5/2
Factorize: x² + 12x + 35.
Correct answer(s):
- (x + 7)(x + 5)
Write 9.1e+08 in scientific notation.
Correct answer(s):
- 9.1 × 10^8
If f(x) = -2x + 3, find f(3).
Correct answer(s):
- -3
If f(x) = 6x + 7, find f(8).
Correct answer(s):
- 55
Find the slope of the line passing through (4, 0) and (2, 4).
Correct answer(s):
- -2
Find the median of the data set: 17, 21, 27, 36, 38.
Correct answer(s):
- 27
Solve the system: 2x + 3y = -2 and 1x – 1y = 9.
Correct answer(s):
- x = 5, y = -4
Find the slope of the line passing through (3, -3) and (5, -6).
Correct answer(s):
- -3/2
Find the slope of the line passing through (0, 1) and (2, 3).
Correct answer(s):
- 1
Let A = {5, 8, 12, 13, 15} and B = {4, 6, 8, 12, 13}. What is A ∪ B?
Correct answer(s):
- {4, 5, 6, 8, 12, 13, 15}
Simplify √147 as much as possible.
Correct answer(s):
- 7√3
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 4, 6, 8, 9}, what is A′?
Correct answer(s):
- {2, 3, 5, 7, 10, 11, 12}