Give the center and radius of the circle. Then sketch its graph.(x - 4)2 + (y - 5)2 = 25

A. center (4, 5), r = 5

B. center (4, - 5), r = 5

C. center (- 4, - 5), r = 5

D. center (- 4, 5), r = 5


Answer: A

Mathematics

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Determine whether the given function satisfies a Laplace equation.f(x, y) = cos(x) sin(-y)

A. Yes B. No

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Solve the problem.A convention manager finds that she has $1130, made up of twenties and fifties. She has a total of 34 bills. How many fifty-dollar bills does the manager have?

A. 15 fifty-dollar bills B. 19 fifty-dollar bills C. 10 fifty-dollar bills D. 34 fifty-dollar bills

Mathematics

Express the given vector as a linear combination of the unit vectors i and j.

A. -5j
B. -5i
C. j
D. -5- 5j

Mathematics

Provide an appropriate response.The weekly salary of an hourly employee depends on the number of hours worked. Employers are required to pay time and a half if an employee works over 40 hours per week. Suppose an employer refuses to pay time and a half and time cards are recorded in half-hour increments.(a)Write a function s(h) for the weekly salary if a person's hourly pay is $12.25 and the number of hours worked is h.(b)What is the domain of this function out of context?(c)What is the domain of this function in the given context?(d)Find s(t), s(t - 5), and s(t - 7).(e)What happens to the salary if the work time decreases by a constant m? Describe using an equation.

What will be an ideal response?

Mathematics