Find the indicated term of the arithmetic sequence.-29, -34 , -39, -44, . . . ; a20

A. 124
B. 129
C. -129
D. -124


Answer: D

Mathematics

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Use the information below to determine the cardinality of the set. U = {x | x ? N and x ? 15} A = {x | x ? N and 5 < x < 10} B = {x | x ? N and x is even and x < 14} C = {x | x ? N and 8 ? x ? 13}n(A' ? B ? C)

A. 3 B. 0 C. 2 D. 1

Mathematics

Provide an appropriate response.A welder analyzed his account records and discovered that his profit could be predicted by the formula P = -x2 + 80x - 1500, where x represents the number of welds he could do daily. How many welds should he do daily to maximize his profits?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the equation on the interval [0, 2?).(tan x - 1) (sin x + 1) = 0

A.
B.
C.
D. 0, 

Mathematics

Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.

A. P(x) = -x3 + 20x;  domain: (-?, ?); range: (-?, ?);  Increasing over [-2.57, 2.57]; Decreasing over (-?, -2.57] and [2.57, ?) B. P(x) = x3 - 4x2 + 20x;  domain: (-?, ?); range: (-?, ?);  Increasing over [-1.96, 1.96]; Decreasing over (-?, -1.96] and [1.96, ?) C. P(x) = -x3 + 4x2 - 9;  domain: (-?, ?); range: (-?, ?);  Increasing over (-?, -2.18] and [2.18, ?); Decreasing over [-2.18, 2.18] D. P(x) = x3 + 9x;  domain: (-?, ?); range: (-?, ?);  Increasing over (-?, -3.14] and [3.14, ?); Decreasing over [-3.14, 3.14]

Mathematics