The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 0.94 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to four decimal places.

A. -3.0269
B. -0.0269
C. 0.9731
D. 2.9731


Answer: D

Mathematics

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Solve. Round your results to four decimal places.Use the Euler method with dx = 0.5 to estimate y(3) if y' = y2/ and y(2) = -1. What is the exact value of y(3)?

A. y ? -0.8013, exact value is -0.2217 B. y ? -0.8899, exact value is -0.2025 C. y ? -0.6685, exact value is -0.2362 D. y ? -0.6242, exact value is -0.2265

Mathematics

Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -x2 - 3 B. y = -(x - 3)2 C. y = -x2 + 3 D. y = -(x + 3)2

Mathematics

Evaluate the exponential function at the specified value of x.y = 243x, x = 0.2

A.
B. 3
C.
D. 9

Mathematics

Simplify. Express in terms of i.

A. 3
B. -3
C. -3i
D. 3i

Mathematics