The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where xo = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.5 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to the nearest tenth.

A. 2.6
B. 875.1
C. 3.9
D. 2.9


Answer: C

Mathematics

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Fill in the blank with one of the words or phrases listed below.  is a rate with a denominator of 1.

A. proportion B. ratio C. unit price D. unit rate

Mathematics

Find the regular selling price per item to the nearest cent. Markup is based on total cost.Total cost: $1185Quantity purchased: 216Number at regular price: 196Reduced price: $4.79Markup: 41%

A. $8.52 B. $8.04 C. $7.29 D. $5.56

Mathematics

Solve the problem.A certain ball when dropped from a height rebounds  of the original height. How high will the ball rebound after the fifth bounce if it was dropped from a height of 32 feet? Round your answer to the nearest tenth of a foot.

A. 7.7 ft B. 5.4 ft C. 6.7 ft D. 3.4 ft

Mathematics

Expand the expression using the Binomial Theorem.(x5 + 2y)4

A. x20 + 8x15y + 24x10y2 + 32x5y3 + 16y4 B. x20 + 6x15y + 24x10y2 + 24x5y3 + 16y4 C. x9 + 8x8y +12x7y2 + 8x5y3 + 2y4 D. x9 + 6x8y + 24x7y2 + 24x5y3 + 16y4

Mathematics