The magnitude, M, of an earthquake is defined to be

, where / is the intensity of the earthquake (measured by the

amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the

magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to

the nearest tenth.

-1.5

-0.5

1.5

3.6

Question

Mathematics

Koen Liu

28 March, 22:41

The magnitude, M, of an earthquake is defined to be

, where / is the intensity of the earthquake (measured by the

amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the

magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to

the nearest tenth.

-1.5

-0.5

1.5

3.6

+1

Answers (1)

Know the Answer?

Kristian · Answer 1

1.5

Step-by-step explanation:

The magnitude, M, of an earthquake is defined to be

M = log l/s

where I is the intensity of the earthquake and s is the intensity of a "standard" earthquake.

If an earthquake that is 35 times more intense than a standard earthquake, then l/s = 35. Replacing it in the equation:

M = log 35 = 1.5