Use a Venn Diagram and the given information to determine the number of elements in the indicated region.n(U) = 83, n(A) = 32, n(B) = 42, n(C) = 22, n(A ? B) = 5, n(A ? C) = 3,  Find 

A. 25
B. 27
C. 2
D. 1


Answer: D

Mathematics

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Use a negative-angle identity to write an equivalent trigonometric expression involving a positive angle.tan 

A. tan 
B. 1 - tan 
C. cot 
D. -tan 

Mathematics

Solve the problem.The speed of a vehicle is inversely proportional to the time it takes to travel a fixed distance. If a vehicle travels a fixed distance at 35 miles per hour in 50 minutes, how fast must it travel to cover the same distance in 25 minutes?

A.  miles per hour
B.  miles per hour
C.  miles per hour
D. 70 miles per hour

Mathematics

What is the side opposite ?B?


Mathematics

Solve the rational inequality. Write the solution in interval notation. < 4

A.
B. (-5, 4)
C. (-?, 4) ? 
D. ?

Mathematics