A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards.Find the probability that the card is a 3
A.
B.
C.
D.
Answer: D
Mathematics
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 8, u '(2) = 2, v(2) = -1, v '(2) = -5. (2u - 4v) at x = 2
A. 20 B. 24 C. 12 D. -16
Mathematics
Fill in the missing value.3.2 L = mL
A. 320 B. 0.0032 C. 0.32 D. 3200
Mathematics
Solve the differential equation.ex + 5ex y = 4, x > 0
A. y = e-x + ce-5x, x > 0 B. y = e-5x + ce-x, x > 0 C. y = ex + ce-5x, x > 0 D. y = e-x + e-5x, x > 0
Mathematics
Identify the curve as simple, closed, both, or neither.
A. Neither B. Closed C. Both D. Simple
Mathematics