Write 560000 in scientific notation.
Correct answer(s):
- 5.6 × 10^5
Subject
Mathematics
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A student can choose from 2 shirts, 5 pants, and 1 pairs of shoes. How many different outfits are possible?
Correct answer(s):
- 10
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}
Add the matrices [[5, -3], [8, 6]] and [[1, 4], [-5, 5]].
Correct answer(s):
- [[6, 1], [3, 11]]
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 = {5, 7, 8, 10, 12}, what is A′?
Correct answer(s):
- {1, 2, 3, 4, 6, 9, 11}
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}
Find the slope of the line passing through (0, 1) and (2, 3).
Correct answer(s):
- 1
Find the slope of the line passing through (3, -3) and (5, -6).
Correct answer(s):
- -3/2
Solve the system: 2x + 3y = -2 and 1x – 1y = 9.
Correct answer(s):
- x = 5, y = -4
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 4, 7, 8, 9}, what is A′?
Correct answer(s):
- {1, 2, 5, 6, 10, 11, 12}
Factorize completely: 30x + 50.
Correct answer(s):
- 5(6x + 10)
In a class of 45 students, 10 study only Algebra, 15 study only Geometry, and 12 study both. How many study Algebra or Geometry?
Correct answer(s):
- 37
In a class of 39 students, 18 study only Algebra, 7 study only Geometry, and 8 study both. How many study Algebra or Geometry?
Correct answer(s):
- 33
The sequence is 9, 11, 13, 15, … . What is the 12th term?
Correct answer(s):
- 31
Simplify using exponent laws: 10^6 × 10^1.
Correct answer(s):
- 10^7
Simplify √250 as much as possible.
Correct answer(s):
- 5√10
Find the range of the data set: 9, 19, 21, 27, 39.
Correct answer(s):
- 30
The sequence is 7, 4, 1, -2, … . What is the 10th term?
Correct answer(s):
- -20
Expand and simplify: (x + 4)².
Correct answer(s):
- x² + 8x + 16