Find the center and radius of the circle and sketch its graph.(x - 1)2 + (y + 4)2 = 25
A. (h, k) = (1, 4), r = 5
B. (h, k) = (-1, 4), r = 5
C. (h, k) = (-1, -4), r = 5
D. (h, k) = (1, -4), r = 5
Answer: D
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Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
A. y9
B.
C. y13
D.
Give a geometric description of the set of points whose coordinates satisfy the given conditions.(x - 1)2 + (y - 8)2 + (z - 5)2 < 16
A. All points on the lower hemisphere centered at (1, 8, 5) B. All points outside the lower hemisphere centered at (1, 8, 5) C. All points within the lower hemisphere centered at (1, 8, 5) D. No set of points satisfy the given relations.
Solve the problem.The average total sales of individuals in the sales department at a paper company has decreased approximately linearly from $154 thousand in year 1 to $127 thousand in year 5. Let s be the average total sales (in thousands of dollars) at t years. Find an equation of a linear model to describe the data.
A. s = 6.75t + 147.25 B. s = -6.75t + 147.25 C. s = -6.75t + 160.75 D. s = -6750t + 154,000
Factor: