The center and radius of a circle are given. Write the equation of each circle in standard form.Center: (0, 10), r = 5
A. x2 + (y + 10)2 = 5
B. x2 + (y - 10)2 = 25
C. (x + 10)2 + y2 = 25
D. (x - 10)2 + y2 = 25
Answer: B
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Solve the problem.The function A = A0e-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 800 pounds of the material are placed in the vault, how much time will need to pass for only 588 pounds to remain?
A. 45 years B. 80 years C. 40 years D. 50 years
Find the domain and range of the function.g(z) =
A. D: (-1,?), R: (-?,0) B. D: [0,?), R: (-?,?) C. D: (-?,-1), R: (0,?) D. D: [1,?), R: (-?,?)
Find the distance d(A, B) between the points A and B.A(-6, -1); B(4, -5)
A. 84
B. 14
C. 2
D. 84
Answer each question appropriately.Suppose the area of the region between the graph of a positive continuous function f and the x-axis from x = a to x = b is 5 square units. Find the area between the curves and
A. -25 square units B. 25 square units C. -15 square units D. 15 square units