Solve the exponential equation and approximate the result, correct to three decimal places.4e4x - 5 = 8
A. 3.250
B. -1.077
C. 1.423
D. 1.380
Answer: C
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Decide whether the ordered pair is a solution of the given system.
A. Yes B. No
A small town has only two dry cleaners, Fast and Speedy. Fast hopes to increase its market share by conducting an extensive advertising campaign. The initial market share for Fast was 40% and 60% for Speedy. Solve the problem.Use the initial market share as a probability vector, along with the following transition matrix, to find the market share for each firm for the second batch of clothing after the campaign. Round your answer to the nearest percent.FastSpeedy 
A. 49% for Fast and 51% for Speedy B. 51% for Fast and 49% for Speedy C. 53% for Fast and 47% for Speedy D. 47% for Fast and 53% for Speedy
Identify the equation without completing the square.2x2 + 3y2 + 6x + 2 = 0
A. parabola B. hyperbola C. ellipse D. not a conic
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.9 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 6 N B. 6.2 N C. 7.5 N D. 6.1 N