Identify the equation as either an identity or not.cos x csc x tan x = 1
A. Identity
B. Not an identity
Answer: A
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Solve the problem.Robert has built a mechanical model solar system with three balls representing planets at the ends of rods attached to the center representing the sun. The planets are aligned when he turns on the motor. The innermost planet makes a revolution in 18 seconds, the middle planet makes a revolution in 30 seconds, and the outermost planet makes a revolution in 42 seconds. After how many seconds will the planets be aligned again?
A. 945 seconds B. 630 seconds C. 315 seconds D. 1260 seconds
Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-36, 0), (36, 0)
F: (-6, 0) and (6, 0)
B. V: (-6, 0), (6, 0);
F:(- 3
, 0), (3
, 0)
C. V: (0, -6), (0, 6);
F: (0, - 3
), (0, 3
)
D. V: (0, -9), (0, 9);
F: (0, -3) and (0, 3)
Solve the problem.It takes 25 minutes to set up a candy making machine. Once the machine is set up, it produces 12 candies per minute. Use an inequality to find the number of candies that can be produced in 7 hours if the machine has not yet been set up.
A. 4740 candies or fewer B. 10,200 candies or fewer C. 84 candies or fewer D. 2100 candies or fewer
Find the standard form of the equation of the ellipse satisfying the given conditions.Endpoints of major axis: (-10, -4) and (6, -4); endpoints of minor axis: (-2, -8) and (-2, 0)
A. 
+ 
= 0
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1