Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither.(-7, -1), (2, -10), (16, -3), (7, 8)
A. Rectangle
B. Parallelogram
C. Neither
Answer: C
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 4 for r(t) = (8t2 + 2t + 9)i - 2t3j + (2 - t2)k
A. v(4) = 62i - 96j - 8k B. v(4) = 66i - 96j - 8k C. v(4) = 34i - 32j - 4k D. v(4) = 66i + 96j + 8k
The following question refers to a country with six states. There are 250 seats in the legislature, and the populations of the states are given in the table below.
Find each state's apportionment under Jefferson's method.
A. State A: 29; State B: 136; State C: 11; State D: 42; State E: 13; State F: 19 B. State A: 29; State B: 135; State C: 11; State D: 41; State E: 14; State F: 20 C. State A: 29; State B: 134; State C: 11; State D: 42; State E: 14; State F: 20 D. State A: 29; State B: 133; State C: 12; State D: 42; State E: 14; State F: 20 E. none of these
Substitute the given values into the formula and solve for the unknown variable.A = (b + B)h; A = 82.5, b = 16, B = 17
A. 66
B. 16
C. 5
D. 272
Solve the compound linear inequality graphically. Write your answer in interval notation. -5 < -2z + 3 ? 3
A. (0, 4] B. [-4, 0) C. [0, 4) D. (-4, 0]