Solve the problem.The energy E (measured in joules) released by an earthquake of magnitude M on the Richter scale
is given by the equation
. Suppose an earthquake registers 6.3 on the Richter scale. Let I0 = 1. What is the intensity of the earthquake?
A. I = 1013.85
B. I = 6.310
C. I = 106.3
D. I = 13.8510
Answer: C
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Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA baseball is hit when it is 2.2 ft above the ground. It leaves the bat with an initial velocity of at a launch angle of 22°. At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of -12.8i (ft/sec) to the ball's initial velocity. Find a vector equation for the path of the baseball.
A. r = (152 sin 22° - 12.8)ti + (2.2 + (152 cos 22°)t - 16t2)j B. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t - 16t2)j C. r = ((152 cos 22°)t - 12.8)i + (2.2 + (152 sin 22°)t - 16t2)j D. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t + 16t2j
Write the number in scientific notation.0.000936
A. 9.36 x 104 B. 9.36 x 10-4 C. 9.36 x 10-3 D. 9.36 x 10-5
Solve the problem.The function A = Aoe-0.0099x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are placed in the vault, how much time will need to pass for only 226 pounds to remain?
A. 85 years B. 160 years C. 90 years D. 80 years
Write an equation of the circle with the given center and radius.(0, 0); 4
A. x2 + y2 = 4 B. x2 - y2 = 4 C. x2 + y2 = 16 D. x2 + y2 = 8