Find an equation for the ellipse described.Center at (0, 0); focus at (0, 5); vertex at (0, -7)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: C

Mathematics

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Write the given decimal as an infinite series, then find the sum of the series, and finally, use the result to write the decimal as a ratio of two integers.0.2929292 . . .

A.
B.  
C.  
D.  

Mathematics

Rewrite the series using summation notation. Use 1 as the lower limit of summation.3 +  +  + . . . + 

A.
B.
C.
D.

Mathematics

Solve the problem.In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference  represents the total profit for producing x widgets. Given R(x) = 60x - 0.4 x2 and  find the equation for P(x).

A. P(x) = -0.4 x2 + 63x + 13 B. P(x) = 3x + 13 C. P(x) = -0.4 x2 + 57x - 13 D. P(x) = 60x - 0.4 x2

Mathematics

Solve the problem.In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.65 as soon as you get in the taxi, to which a charge of $1.80 per mile is added. Find an equation that can be used to determine the cost, C, of an x-mile taxi ride.

A. C = 2.65 + 1.80x B. C = 4.45x C. C = 1.80 + 2.65x D. C = 2.95x

Mathematics