1. the richter scale is used to measure the magnitude of an earthquake. the magnitude, r, is given by the equation: r=0.65log(0.39)e +1.45, where e is the energy (measured in kilowatt-hours) released by the earthquake. determine the amount of energy released by an earthquake of magnitude 7.5.

2. use synthetic division to find the quotient and the remainder.
(12x^4+5x^3+3x^2-5) ÷ (x+1)

Step-by-step explanation:

The magnitude, R of an earthquake is given by the equation: R=0.65log(0.39E) +1.45

Where

where E is the energy (measured in kilowatt-hours) released by the earthquake.

1) The amount of energy released by an earthquake of magnitude 7.5 would be

7.5 = 0.65log(0.39E) + 1.45

(7.5 - 1.45)/0.65 = log(0.39E)

9.3077 = log(0.39E)

0.39E = 10^9.3077

E = 10^9.3077/0.39 = 5207573316 kilowatt-hours

b) the attached diagram shows the steps used to find the quotient and the remainder using synthetic division.

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step-by-step explanation: