The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log (0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?

Question

Mathematics

Azul

16 December, 14:33

The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log (0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?

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Answers (1)

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Sloane Mccullough · Answer 1

R=3.897

Step-by-step explanation:

Given the magnitude measured by the Ritcher scale is given as;

R = 0.67log (0.37E) + 1.46 where E = is the energy (in kilowatt hours)

If E=1,770,000 then

R = 0.67log (0.37*1770000)

R=0.67log (654900)

R=0.67*5.81617

R=3.897