Use the associative property of addition to write an equivalent algebraic expression.2 + (4 + x)

A. 2(4 + x)
B. (2 + 4)x
C. 4(2 + x)
D. (2 + 4) + x


Answer: D

Mathematics

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Provide an appropriate response. A V-slot forms a triangle whose angle at the vertex is 60°. The depth of the slot is 24 mm. Find the width of the V-slot. 

A. 12 mm B. 24 mm C. 13.9 mm D. 27.7 mm

Mathematics

Use a calculator to find the value of y in degrees rounded to two decimal places.y = cos-1 (-0.4541)

A. 117.01° B. -27.01° C. 24.42° D. 27.01°

Mathematics

Solve the problem.Several years ago, a large city undertook a major effort to encourage carpooling in order to reduce traffic congestion. The accompanying table shows the number of carpoolers, in thousands, from 2007 to 2012. Use regression to obtain a function  that models the data, where  corresponds to 2007,  to 2008, and so on. Round the constants a and b to the nearest hundredth.

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Mathematics

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.-3, 3, 9, 15, 21, . . .

A. an = 6n - 9; a20 = 111 B. an = 9n - 6; a20 = 174 C. an = 6n - 3; a20 = 117 D. an = 9n - 3; a20 = 177

Mathematics