Use the addition rule to solve the problem.A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?
A.
B.
C.
D. 9
Answer: C
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (3 ln(2t))i + (6t3)j
A. a = i + 18tj
B. a = t-2i + 36tj
C. a = - t-2i + 36tj
D. a = - i + 36tj
Provide an appropriate response. Explain why whole number exponents of i have values that repeat in cycles of four. It may be helpful to break down i5 as i5 = i4 ? i (as well as i6 = i4 ? i2, i7 = i4 ? i3, i8 = i4 ? i4, etc.) to explain the cycle.
What will be an ideal response?
Match the given function to its graph.1) y = sin 2x2) y = 2 cos x3) y = 2 sin x4) y = cos 2xA B
C D
A. 1A, 2D, 3C, 4B B. 1A, 2C, 3D, 4B C. 1A, 2B, 3C, 4D D. 1B, 2D, 3C, 4A
Solve the problem.Vicki's car rental company charges $25 per day plus $0.25 per mile to rent a car. Joshua's rental company charges $29 per day plus $0.20 per mile. The total daily cost, y, in dollars, of renting the car if x miles are driven can be modeled by the linear system: y = 0.25x + 25 Vicki's y = 0.20x + 29 Joshua's Use graphing to solve the system. Interpret the coordinates of the solution in practical terms.
A. {(60, 40)}; Both companies charge $40 for 60 miles driven. B. {(80, 45)}; Both companies charge $80 for 45 miles driven. C. {(80, 45)}; Both companies charge $45 for 80 miles driven. D. {(80, 50)}; Both companies charge $50 for 80 miles driven.