What is the prime factorization of 100?
Answer(s): B
100 = 4 × 25 = (2 × 2) × (5 × 5) = 22 × 52.
-9 is an example of a(an) __________.
The square root of a negative number doesn't exist as far as real numbers are concerned. In mathematics, this is called an imaginary number.
If b - 3 = 7, then b is equal to __________.
Answer(s): A
This equation means "some number, decreased by 3, is equal to 7." b - 3 = 7To arrive at a true statement for b, we want to eliminate -3 on the left side of the equation. We do this by adding 3 to both sides of the equation, undoing the subtraction on the left side. When we add 3 to both sides, we are keeping the statement an equation.(b - 3) + 3 = 7 + 3By simplifying both sides, we isolate b and thus find the solution.b = 10
What is the product of (z + 2) (2z - 3)?
Answer(s): D
An easy way to perform the multiplication is to do four separate multiplications. Then the procedure looks like ordinary multiplication in arithmetic.Multiply (2z - 3) by 2Multiply (2z - 3) by zAdd the partial products as you do in arithmetic.
The suburb of Hewitt has a private subdivision that has a pool in the shape of a quadrilateral.If the subdivision wants to put a lifeguard on each side of the pool, how many lifeguards will be needed?
Answer(s): C
Since a quadrilateral is a four-sided figure, the subdivision will need four lifeguards. A quadrilateral, by definition, has four sides.Whether the sides are parallel a parallelogram or if all four sides are equal and all four angles are right angles a square there are still four sides, and, therefore, four lifeguards.
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