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Angelina_Jolie [31]
3 years ago
15

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 15,500,000,000 kilowatt hours of energy, what is the earthquake's magnitude?
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

7.9982

Step-by-step explanation:

-The function for an earthquake's magnitude is given by  R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

R = 0.67\ log(0.37E) + 1.46,\ \  E=15,500,000,000  \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982

Hence, the earthquakes magnitude is 7.9982

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