Determine the constant of variation for the stated condition.t varies jointly as r and s, and t = 36 when r = 45 and s = 20.

A. k = 25
B. k = 
C. k = 20
D. k = 


Answer: B

Mathematics

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Divide. Write a mixed numeral for the answer.27 ÷ 1

A. 17
B. 18
C. 19
D. 16

Mathematics

Solve the problem.For a hyperbolic mirror the two foci are 42 cm apart. The distance of the vertex from one focus is 6 cm and from the other focus is 36 cm. Position a coordinate system with the origin at the center of the hyperbola and with the foci on the y-axis. Find a Cartesian equation for the hyperbola.

A.  -  = 1
B.  -  = 5
C.  -  = 5
D.  -  = 1

Mathematics

Find the exact value of y, or state that y is undefined.y = sin-1 (-3)

A. ? B. 0 C. -3 D. undefined

Mathematics

Determine whether the improper integral converges or diverges, and if it converges, find its value.


a. 15
b. - 15/2
c. Diverges
d. 15/2

Mathematics