Find the equation of the hyperbola satisfying the given conditions. The center is at the origin.a = b = 4, transverse axis along the y-axis

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


Answer: C

Mathematics

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Find the area of the shaded region.

A. 4 + 
B. 8
C.
D. 4

Mathematics

Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 4 - e-0.55x; relative to f(x) = ex

A. Stretched horizontally; 
reflected across x-axis, 
reflected across y-axis;
moved up 4 unit(s)

B. Stretched horizontally; 
reflected across the y-axis;
moved up 4 unit(s)

C. Stretched horizontally; 
reflected across x-axis, 
reflected across y-axis
Moved up 4 unit(s);

D. Moved up 4 unit(s); 
stretched horizontally;
reflected across the x-axis

Mathematics

Solve the problem.The logistic growth function f(t) =  describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 10 months?

A. 4400 butterflies B. 300 butterflies C. 126 butterflies D. 442 butterflies

Mathematics

Simplify the factorial expression.

A. 36n2 - 6n
B.
C.
D.

Mathematics