Can you someone please help me with these 2 question
ASSP

1) The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude M is given by the model


M=0.67 log⁡ (0.37E)+1.46


where E is the energy in kilowatt hours released by the earthquake. Suppose an earthquake releases 10,500,000,000 kilowatt hours of energy. What is the earthquake’s magnitude to the nearest tenth?



The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude M is given by the model


M=0.67 log⁡ (0.37E)+1.46


where E is the energy in kilowatt hours released by the earthquake. Suppose an earthquake releases 10,500,000,000 kilowatt hours of energy. What is the earthquake’s magnitude to the nearest tenth?



7.88


7.24


6.02


5.34


2) The Richter magnitude M is given by the model LaTeX: M=\log\left(\frac{I}{I_0}\right)\:\:where LaTeX: I is the intensity of the earthquake in 100 km from the epicenter and LaTeX: I_0 is the smallest seismic activity that can be measured or LaTeX: M=\log\left(Intensity\right)\:\:. A recent earthquake measured 6.2 on the Richter scale. How many times more intense was this earthquake than an earthquake that measured 5.3 on the Richter scale?


7.9 times more intense


0.9 times more intense


1.5 times more intense


6.3 times more intense

Respuesta :

The intensity of the earthquake is an illustration of functions

  • The earthquake's magnitude is 7.88
  • The earthquake is 0.9 times more than the earthquake that measured 5.3

How to determine the magnitude

The function is given as:

[tex]M=0.67 \log(0.37E)+1.46[/tex]

When the earthquake releases 10,500,000,000, we have:

[tex]M=0.67 \log(0.37*10500000000)+1.46[/tex]

Evaluate

[tex]M=7.8848919855[/tex]

Approximate

[tex]M=7.88[/tex]

Hence, the earthquake's magnitude is 7.88

Also, we have:

Earthquake 1 = 6.2

Earthquake 2 = 5.3

Calculate the difference (d)

[tex]d = 6.2-5.3[/tex]

[tex]d = 0.9[/tex]

Hence, the earthquake is 0.9 times more than the earthquake that measured 5.3

Read more about functions at:

https://brainly.com/question/1513353