Provide an appropriate response.Which of the following statements defines 
f(x) = ??I. For every positive real number B there exists a corresponding positive real number N such that f(x) > B whenever x > N.II. For every positive real number B there exists a corresponding negative real number N such that f(x) > B whenever x < N.III. For every negative real number B there exists a corresponding negative real number N such that f(x) < B whenever x < N.IV. For every negative real number B there exists a corresponding positive real number N such that f(x) < B whenever x > N
A. II
B. IV
C. I
D. III
Answer: A
Mathematics
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Construct a truth table for the statement.(t ? s) ? (~t ? ~s)
A. 
| T | T | F |
F T T
F F T
B.
| T | T | T |
F T T
F F F
C.
| T | T | T |
F T F
F F T
D.
| T | F | F |
Mathematics
Solve for the specified variable.S = 
for r
A. r = 
- 1
B. r = S - a
C. r = 
D. r = 
Mathematics
Perform the indicated operation.(x + 5y)(-5x - 3y)
A. x2 - 28xy - 28y2 B. x2 - 28xy - 15y2 C. -5x2 - 28xy - 28y2 D. -5x2 - 28xy - 15y2
Mathematics
Solve the problem. Round to the nearest dollar.Central Street bought a rolling machine that cost $90,000. The expected life is 700,000 hours of production with a salvage value of $9000. Find the book value at the end of the third year. Use the units-of-production method of depreciation given the following production schedule.Year 1131,000 hoursYear 2144,000 hoursYear 3131,000 hours
A. $48,720 B. $32,280 C. $37,800 D. $41,280
Mathematics