The equation of a hyperbola is given. Match the equation with its graph.4x2 - 25y2 = 100
A.
B.
C.
D.
Answer: A
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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Simplify the radical expression by factoring out the largest perfect nth power. Assume that all variables are positive.
A. 2 +
B. 2
C. Not a real number
D. 2
Solve the problem.A banquet dinner is being organized by a club. The actual cost of the dinner is $24 per person. The members are to pay $6 to attend, with the club making up the difference. What percentage of the dinner's cost is the member to pay?
A. 15% B. 20% C. 17% D. 25%
Write the expression in the standard form a + bi.4i(7 - 2i)
A. 28i - 8i2 B. 28i + 8i2 C. 28i- 8 D. 8+ 28i