Questions: If an earthquake measures 5.6 on the Richter Scale, what is the intensity of this earthquake, relative to a 0 -level earthquake? Round off your answer to the nearest integer.

If an earthquake measures 5.6 on the Richter Scale, what is the intensity of this earthquake, relative to a 0 -level earthquake? Round off your answer to the nearest integer.
Transcript text: If an earthquake measures 5.6 on the Richter Scale, what is the intensity of this earthquake, relative to a 0 -level earthquake? Round off your answer to the nearest integer.
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Solution

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To determine the intensity of an earthquake relative to a 0-level earthquake using the Richter Scale, we use the formula:

\[ I = 10^M \]

where \( I \) is the intensity relative to a 0-level earthquake, and \( M \) is the magnitude on the Richter Scale.

Given that the earthquake measures 5.6 on the Richter Scale, we substitute \( M = 5.6 \) into the formula:

\[ I = 10^{5.6} \]

Calculating this gives:

\[ I = 398107.17 \]

Rounding this to the nearest integer, the intensity of the earthquake relative to a 0-level earthquake is approximately 398107.

Therefore, the intensity of the earthquake is 398107 times that of a 0-level earthquake.

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