Simplify. Assume that variables can represent any real number.

A. 3b2
B. 4ab2
C. 3b4
D. 4b2


Answer: D

Mathematics

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Describe a one-to-one correspondence between the given set and one of its proper subsets. For example, if we gave you the set {3, 5, 7, 9, 11, ...}, the nth term is 2n +1. You could then write the correspondence by matching the elements of {3, 5, 7, 9, 11, ...} with the elements of the subset {5, 7, 9, 11, 13, ...}. The general correspondence would match 2n + 1 with 2n + 3.{6, 8, 10, 12, ...}

A.

6,8,10,12, ...,2n + 8,...
?????
8,10,12,14, ...,2n + 6,...

B.
6,8,10,12, ...,2n + 5,...
?????
8,10,12,14, ...,2n + 7,...

C.
6,8,10,12, ...,2n + 4,...
?????
8,10,12,14, ...,2n + 6,...

D.
6,8,10,12, ...,2n + 4,...
?????
7,9,11,13, ...,2n + 6,...

Mathematics

Solve the problem.Suicide rates for children and teenagers are listed in the table below for various years. Let S = f(t) represent the suicide rate for children at t years since 1982.i) Find an equation for f following a square root model.ii) Find f(5). What does your result mean in terms of the situation?iii) Find t when f(t) = 5. What does your result mean in terms of the situation?iv) Find the S-intercept. What does your result mean in terms of the situation?

What will be an ideal response?

Mathematics

In the figure,? FAB =30°, ?CAB = 66°, ?GAD = 23°, BA ? EA and G and F are collinear.



(a) What is the measure of ?DAE?
(b) Name three pairs of supplementary angles in this figure.
(c) Name all of the pairs of complimentary angles in this figure.
(d) Name two adjacent angles in this figure.

Mathematics

Simplify the expression using the order of operations. Write the answer as an improper fraction where appropriate.

A.
B.
C.
D.

Mathematics