Find sum of the pair of complex numbers.11 + 3i, -9
A. 20 + 3i
B. 20 - 6i
C. 2 + 3i
D. 2 - 6i
Answer: C
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Integrate the function f over the given region.f(x, y) = y2 ex4 over the triangular region in the first quadrant bounded by the lines
and
A. e
B. 27(e + 1)
C. 9(e - 1)
D. (e - 1)
Solve the problem.A projectile is fired from a height of 5.8 feet with an initial velocity of 187 ft/sec at an angle of 30° with the horizontal. The parametric equations for the path of the projectile are x = (187 cos 30°)t, and y = 5.8 + (187 sin 30°)t - 16t2,where x and y are in feet and t is in seconds. Find the total horizontal distance traveled by the projectile. Round your answer to the nearest tenth of a foot.
A. 946.4 feet B. 1,413.5 feet C. 706.7 feet D. 956.2 feet
Solve the problem.Allied Industries pays at the time-and-a-half rate for all time worked over 8 hours in any one day no matter how many hours are worked in a week. Ken Warner, an employee of Allied Industries, makes $12.30 an hour as his regular rate of pay. Last week he worked 13 hours on Monday, 5.5 hours on Thursday, and 8.75 hours on Friday. What were his gross earnings for the week?
A. $384.09 B. $370.54 C. $379.25 D. $335.52
Without actually converting, choose the most reasonable answer.A 55-gallon drum has a capacity of about __________ .
A. 208 L B. 20.8 L C. 20.8 ml D. 208 ml