Add or subtract as indicated.0.78 - (-2.573)

A. 3.353
B. 2.007
C. 3.453
D. 1.793


Answer: A

Mathematics

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Determine ratio of A to B. Round as indicated.A = 22.8% is the divorce rate in City AB = 31.6% is the divorce rate in City B(Round to the nearest hundredth when necessary.)

A. 7.22 B. 1.39 C. 0.07 D. 0.72

Mathematics

Express the vector in the form ai + bj + ck. if P1 is the point (3, 6, -3) and P2 is the point (5, 3, -7)

A. v = -2i + 3j + 4k B. v = 2i - 3j - 4k C. v = -2i - 3j + 4k D. v = -2i + 3j - 4k

Mathematics

A small manufacturing plant produces three kinds of bicycles-three-speed, five-speed and ten-speed-in two factories. Factory A produces 16 three-speeds, 12 five-speeds and 30 ten-speeds in one day, while factory B produces 15 three-speeds, 18 five-speeds and 20 ten-speeds in one day. An order is received for 30 three-speeds, 40 five-speeds, and 50 ten-speeds. It costs $1200 a day to operate factory A and $3000 a day to operate factory B. The manufacturer chooses the number of days to operate each factory in order to minimize cost.In the situation above, which of the following inequalities must be satisfied?

A. 16x + 15y ? 30 B. 30x + 20y ? 50 C. x + y ? 120 D. x + y + z ? 120 E. none of these

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.6, 14, 22, 30, 38, . . .

A. an = 8n - 2; a20 = 158 B. an = 2n - 1; a20 = 39 C. an = 8n - 1; a20 = 159 D. an = 2n - 8; a20 = 32

Mathematics