Write the first four terms of the sequence.an = (-1)n(n + 6)
A. a1 = -7, a2 = -16, a3 = -27, a4 = -40
B. a1 = 7, a2 = 8, a3 = 9, a4 = 10
C. a1 = -7, a2 = 8, a3 = -9, a4 = 10
D. a1 = -7, a2 = -8, a3 = -9, a4 = -10
Answer: C
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Rewrite the equation such that each resulting term or combination is in an integrable form.5 sin(5x - 7y) dx - x dy = y dx + 7 sin(5x - 7y) dy
A. [5 sin(5x - 7y) dx - 7 sin(5x - 7y) dy] + (y dx - x dy) = 0 B. [5 sin(5x - 7y) dx - x dy]- [7 sin(5x - 7y) dy + y dx] = 0 C. [5 sin(5x - 7y) dx + 7 sin(5x - 7y) dy] - (x dy + y dx) = 0 D. [5 sin(5x - 7y) dx - 7 sin(5x - 7y) dy] - (x dy + y dx) = 0
Solve and check. Use the square root principle to eliminate the square.(x - 3)2 = 49
A. ±7 B. -4, -10 C. 52 D. 10, -4
Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire of constant density that lies along the line from x = 0 to
A. = 9,
= 9
B. =
,
=
C. = 9,
= 0
D. = 3,
= 3
Solve the problem.As Sunee improves her algebra skills, she takes 0.9 times as long to complete each homework assignment as she took to complete the preceeding assignment. If it took her 75 minutes to complete her first assignment, find how long it took her to complete the fifth assignment. Find the total time she took to complete her first five homework assignments. Round to the nearest minute.
A. 44 min; 258 min B. 49 min; 258 min C. 44 min; 307 min D. 49 min; 307 min