Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (3, 0) and (-3, 0); foci at (8, 0) and (-8, 0)

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


Answer: B

Mathematics

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Solve the problem.The Van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.

A. PV = -  + ; PT = 
B. PV = ; PT =  - 
C. PV =  - ; PT = 
D. PV =  - ; PT = 

Mathematics

Use the data set {-100, -99, -98, ..., -2, -1} to answer the following question(s).The data set has a mean of

A. -50.5. B. -50. C. -51. D. -49.5. E. none of these

Mathematics

Use a proportion to solve the problem.Under typical conditions, 1 ft of snow will melt to 2 in. of water. To how many inches of water will 2 ft of snow melt?

A. 4 in.
B. 3 in.
C. 3 in.
D. 5 in.

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Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = , g(x) = x

A. Yes, no B. Yes, yes C. No, no D. No, yes

Mathematics