Provide an appropriate response.If a fraction simplifies to 0, what, if anything can you conclude about its numerator? What, if anything, can you conclude about its denominator?
A. Numerator can be anything, denominator is 0.
B. Numerator is 0, denominator is not 0.
C. Numerator is 0, denominator is 0.
D. Numerator is 0, denominator is 1.
Answer: B
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Evaluate the integral.
A. 
[ sin 2x + cos 2x] + C
B. 
[2 sin 2x + 5 cos 2x] + C
C. 
[2 e5x sin 2x + 5 cos 2x] + C
D. 
[2 sin 2x - 5 cos 2x] + C
Find the number of terms in the sequence or the sum of the sequence as requested.Find the sum of the following arithmetic sequence.1 + 2 + 3 + . . . + 500
A. 62,500 B. 251,001 C. 125,000 D. 125,250
Provide an appropriate response.If more than one unknown occurs in a word problem, the same variable may be used for expressions that represent each unknown.
A. True B. False
Solve the problem.The path between three landmarks in a national park form a right triangle. The oldest living evergreen tree is at point A, the ranger station is at point B, and the natural hotspring is at point C. The right angle is at point C, and there is a 60° angle at point B. If the distance between the hotspring and the evergreen tree is 586 yards, find the distance, x, from the hotspring to the ranger station. Round to two decimal places if needed. 
A. 828.73 yd B. 338.33 yd C. 414.3646 yd D. 1014.98 yd