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


Answer: C

Mathematics

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Solve the initial value problem.Differential Equation:  = -3ti + 7tj + 9tkInitial Condition: r(0) = -3i + 3k

A. r(t) = i + t2j  -  k
B. r(t) = i + t2j  +  k
C. r(t) = (-3t2 - 6)i + 7t2j  + (9t2 + 6)k
D. r(t) = i + t2j  +  k

Mathematics

Factor the trinomial completely.x3 + 4x2 - 32x

A. (x + 8)(x - 4) B. (x2 + 8)(x - 4) C. x(x2 + 4x - 32) D. x(x + 8)(x - 4)

Mathematics

Solve the problem.A triangular piece of glass is being cut so that the height of the triangle is 4 inches shorter than twice the base. If the area of the triangle is 224 square inches, how long is the height of the triangle?

A. 30 in. B. 32 in. C. 16 in. D. 28 in.

Mathematics

Provide an appropriate response.Solve the following system of equations using the addition method: 3x - 2y = 6   x + 3y = 2

Fill in the blank(s) with the appropriate word(s).

Mathematics