Simplify. Write your answer in the form a + bi, where a and b are real numbers.Let z = -5i and w = -8 + 6i. Find wz.
A. 30 - 40i
B. 30 + 40i
C. -30 - 40i
D. 40i - 30i2
Answer: B
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Solve the problem.A projectile is fired from a height of 9.7 feet with an initial velocity of 124 ft/sec at an angle of 54° with the horizontal. The parametric equations for the path of the projectile are x = (124 cos 54°)t, and y = 9.7 + (124 sin 54°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.
A. 12.7 seconds B. 6.3 seconds C. 6.4 seconds D. 8.1 seconds
Write an equation so y depends on x. Find the self-employed Social Security payment, y, at 12.4% of net income, x.
A) x = 0.124y B) x = 12.4y C) y = 0.124x D) y = 12.4x E) y = 0.0124x
Solve the problem. Write ratios in simplest form.Find the unit price for each option. Which is the better buy? IceMan water: 24 bottles for $3.12 Big Mountain water: 20 bottles for $3.00.
A. IceMan: $3.12 per bottle; Big Mountain: $3.00 per bottle; the IceMan water B. IceMan: $0.13 per bottle; Big Mountain: $0.15 per bottle; the IceMan water C. IceMan: $0.15 per bottle; Big Mountain: $0.13 per bottle; the Big Mountain water D. IceMan: $0.13 per bottle; Big Mountain: $0.10 per bottle; the Big Mountain water
Find the distance AB across the river.
