Write the expression in the standard form a + bi.(7 + 3i)(5 - 6i)

A. 53 + 27i
B. 17 + 57i
C. 53 - 27i
D. -18i2 - 27i + 35


Answer: C

Mathematics

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Solve the problem.It costs $900 to start up a business of selling hot dogs. Each hot dog costs  to produce. Let y be the cost in dollars of producing x hot dogs. Write the cost equation.

A. y = .55x - 900 B. y = .55x + 900 C. y = 900x + .55 D. y = 55x + 900

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Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 426 represent the initial number of bacteria present.

A. a1 = 426; an =  an-1  for n > 1.
B. a1 = 426; an = 2 an-1  for n > 1.
C. an = 2 a1  for all values of n.
D. a1 = 426; an = 2 an+1  for n > 1.

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Provide an appropriate response.The following two numbers are considered to be reciprocals:  and .

A. True B. False

Mathematics