Solve.In the first round of a game show, a contestant earned 80 points for each of x questions she answered correctly and lost 100 points for each of y questions she answered incorrectly. She then gained 100 points for each of z questions she answered correctly in the bonus round. Find in factored form the amount of points the contestant earned.
A. 8(x - 10y + 10z) points
B. 2(4x - 5y + 5z) points
C. 20(4x - 5y + 5z) points
D. 20(4x - 10y + 10z) points
Answer: C
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Determine whether the given function satisfies a Laplace equation.f(x, y) = e10ysin 10x
A. Yes B. No
Provide an appropriate response.Consider an equation of inverse variation y = . When x increases, does y increase or decrease?
Fill in the blank(s) with the appropriate word(s).
The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = -3 sin (5t)
A. simple harmonic; -3 m; ? sec;
oscillations/sec
B. simple harmonic; -3 m; 5 ? sec; oscillations/sec
C. simple harmonic; 3 m; sec;
? oscillations/sec
D. simple harmonic; 3 m; ? sec;
oscillations/sec
Determine whether the sequence is arithmetic.4, 12, 36, 108, 972, ...
A. Arithmetic B. Not arithmetic