1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
2 years ago
11

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

n intense earthquake that measured 7.0 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Mathematics
1 answer:
serg [7]2 years ago
6 0

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile =  8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile =  8.2

R = log I

8.2 = log I

We know that:

y = log a_{x}  is equivalent to: x = a^{y}  

R = log I

8.2 = log I becomes:

I = 10^{8.2}

So the intensity of the earthquake in Chile:

I_{Chile}  = 10^{8.2}

For Haiti:

R = log I

7.0 = log I

We know that:

y = log a_{x}  is equivalent to: x = a^{y}  

R = log I

7.0 = log I becomes:

I = 10^{7.0}

So the intensity of the earthquake in Haiti:

I_{Haiti}  = 10^{7}

Compare the two intensities :

\frac{I_{Chile} }{I_{Haiti} } }

= \frac{10^{8.2} }{10^{7} }

= 10^{8.2-7.0}

= 10^{1.2}

= 15.848932

Round to the nearest whole number:

16

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. \frac{I_{Chile} }{I_{Haiti} } }

log I_{Chile} - log I_{Haiti} = 8.2 - 7.0

log(\frac{I_{Chile} }{I_{Haiti} } }) = 1.2

Convert this logarithmic equation to an exponential equation

log(\frac{I_{Chile} }{I_{Haiti} } }) = 1.2

10^{1.2} = \frac{I_{Chile} }{I_{Haiti} } }

Hence

\frac{I_{Chile} }{I_{Haiti} } }  = 16

You might be interested in
A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays
Dominik [7]
1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
                                 number of hours = 12,600 shirts/ (1200 shirts/6 hours)
                                                               = 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays. 
8 0
2 years ago
Please help asap! :’)
Alina [70]

Answer:

4ba\root(3)(b^(2))

or

4ba\sqrt[3]{b^2}

6 0
3 years ago
Write the word sentence as an equation. Then solve.
leonid [27]

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

\frac{15*x}{15} = -\frac{75}{15}, Divide by 15 on both sides to solve for x

x=-\frac{75}{15}, The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

6 0
3 years ago
Read 2 more answers
A smoothie shop has 40 stores and 55% of the stores are in california the rest of the stores are in nevada.how many are in nevad
ZanzabumX [31]
There are 18 in Nevada. 

Multiply 55% by 40, and you get the amount for California. (Which is 22.)

Subtract 40 by 22, and you get 18.

Hope this helps!
5 0
3 years ago
16) Total asset turnover is used to evaluate: A. The efficiency of management's use of assets to generate sales. B. The necessit
Mariulka [41]

Answer:

A. The efficiency of management's use of assets to generate sales.

Step-by-step explanation:

The total asset turnover is calculated by dividing the sales to the assets. It measures the ability for a company so that in efficient way it would generate the sales.

By using the assets of the company, the company is able to generate the sales that could help the company for achieving the goals and objectives

Therefore according to the given situation, the a option is correct

6 0
2 years ago
Other questions:
  • If a car can travel 3,267 miles on 33 gallons of fuel, how many gallons are required to travel 107,811 miles?
    8·1 answer
  • Sam received 74 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball,and bat. He ha
    11·1 answer
  • Juliette is making a fruit salad. She purchased 92/3 ounces each of 6 different fruits. How many ounces of fruit did she purchas
    5·2 answers
  • What is this one..?
    7·1 answer
  • Using equivalent ratios to find a whole \/
    15·1 answer
  • What does x/4=3/2 equal?
    5·1 answer
  • Explain how a number line can be used to find the difference for 34-28
    8·2 answers
  • The sale amount is 1,250.00, 5% sales tax.
    15·1 answer
  • 1. Which situation could the equation<br> – 5 x 10 = -50 or<br> 5x(- 10) = – 50 represent.
    11·1 answer
  • Talk to yuh all in 6 months (another free 50 points)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!