Simplify. Write your answers in the form of a+bi, where a and b are real numbers. ? 

A. 40
B. -40i
C. -40
D. 40i2


Answer: C

Mathematics

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Interpret the linear equation.The speed of a ball dropped from a tower is given by the linear function y = 32x where y is in feet per second and x is the number of seconds since the ball was dropped. Find and interpret the slope and y-intercept of the linear equation.

A. m = 32; The speed of the ball increases 32 feet per second every second. b = 0; The speed of the ball was 0 the moment it was dropped. B. m = 32; The speed of the ball increases 32 feet per second every second. There is no y-intercept to interpret. C. m = 32; The speed of the ball is 32 feet per second. b = 0; When the ball is dropped at x = 0, the ball has fallen 0 feet. D. m = 0; The speed of the ball does not increase as time passes. b = 32; At time x = 0, the ball has fallen 32 feet.

Mathematics

Read the following vernier caliper.

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

Mathematics

Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem.Which year had the smallest number of male athletes? What was the total number of male athletes that year?

A. year 2; 300 athletes B. year 1; 200 athletes C. year 4; 475 athletes D. year 1; 150 athletes

Mathematics

Solve the problem.A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $30 per pair of shoes. The shoes will sell for $103 for each pair. How many pairs of shoes will have to be sold for the company to break even on this new line of shoes?

A. 73 pairs B. 801 pairs C. 234 pairs D. 329 pairs

Mathematics