Find all cube roots of the complex number. Leave answers in trigonometric form.-125
A. 5 cis 180°, 5 cis 0°
B. 5 cis 60°, 5 cis 180°, 5 cis 300°
C. 5 cis 120°, 5 cis 180°, 5 cis 300°
D. 5 cis 30°, 5 cis 150°, 5 cis 270°
Answer: B
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Find the indicated term of the sequence.-2, 4, -8, 16, . . .; a7
A. -256 B. -128 C. 129 D. -112
Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.x = -(y - 3)2 - 3
A. (0, -3), right B. (3, 3), left C. (-3, 0), right D. (-3, 3), left
An ice cream store sells two new flavors: Fantasy and Excess. Each barrel of Fantasy requires 6 pounds of nuts and 3 pounds of chocolate and has a profit of $460. Each barrel of Excess requires 6 pounds of nuts and 2 pounds of chocolate and has a profit of $200. There are 36 pounds of nuts and 18 pounds of chocolate in stock, and the owner does not want to buy more for this batch. How many barrels of each should be made for a maximum profit? Find the maximum profit. ?
A. 6 barrels of Fantasy, 36 barrels of Excess: $9,960 B. no barrels of Fantasy, 6 barrels of Excess: $1,200 C. 6 barrels of Fantasy, no barrels of Excess: $2,760 D. 9 barrels of Fantasy, no barrels of Excess: $1,800 E. none of these
Solve the problem.A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight train?
A. 5.2 hr B. 2.2 hr C. 4.2 hr D. 3.2 hr