Solve the problem.If friction is ignored, the time t (in seconds) required for a block to slide down an inclined plane is given by the formula t =
where a is the length (in feet) of the base and g ? 32 feet per second per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with base a = 14 when
If necessary, round the answer to the nearest tenth of a second.
A. 1.8 sec
B. 1.4 sec
C. 1.9 sec
D. 0.4 sec
Answer: B
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Determine the center, foci, and vertices of the ellipse. +
= 1
A. center at (0, 0)
foci at (0, -2) and (0, 2)
vertices at (0, -4), (0, 4)
B. center at (0, 0)
foci at (-8, 0) and (8, 0)
vertices at (-64, 0), (64, 0)
C. center at (0, 0)
foci at (- 2, 0) and (2
, 0)
vertices at (-8, 0), (8, 0)
D. center at (0, 0)
foci at (0, - 2) and (0, 2
)
vertices at (0, -8), (0, 8)
Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.a3b2 + 3a2b - 54a
A. a(a2b2 + 3ab - 54) B. a(ab + 6)(ab - 9) C. a4(b - 6)(b + 9) D. a(ab - 6)(ab + 9)
Multiply, then simplify the product. Assume that all variables represent positive real numbers.( + 1)(
- 1)
A. 9
B. 9 - 2
C. 11
D. 9 + 2
Simplify the expression using the order of operations. Write the answer as an improper fraction where appropriate.5 ? (5 + 3)2 - 2 ? (5 - 3)2
A. 776 B. 1272 C. 1584 D. 312