5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12

5. Seismologists Use The Richter Scale To Measure The Magnitudes And Intensity Ofearthquakes That Occur

Answers

Answer 1

Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.

The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.

In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]

[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]

[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]

[tex]\frac{I_1}{I_2} = 251.19[/tex]

Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.

A similar problem is given at https://brainly.com/question/2528611


Related Questions

a A rocket is launched from a tower The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground , the nearest 100th of second y=-16x^2+148x+128

Answers

Answer:t=10.05s

Step-by-step explanation:

If <11 = <8, then which lines are parallel?

Answers

Answer:

lines c and p

Step-by-step explanation:

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answers

Answer: They are inverses of each other.

Explanation:

f(x) = -x+5

f(g(x)) = -(g(x)) + 5

f(g(x)) = -(-x+5) + 5

f(g(x)) = x - 5 + 5

f(g(x)) = x

The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.

Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.

how many degrees is 37 degrees warmer than -13

how many is 38 degrees warmer than -20

Answers

Answer:

98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)

Step-by-step explanation:

The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval

Answers

Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

What is Standard score?

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

Learn more about z-score at:

brainly.com/question/10940255

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Free tutor + free answer thank you give me that please

Answers

Answer:

Given that they know the law I think 82.93% of drivers obey this law

Answer:

the answer is

Step-by-step explanation:

i took the test

use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please thank you guysssss

Answers

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

Solution:

Divide both sides by W to isolate L:

[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]

[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]

Substitute the values for the area and the width of a rectangle:

[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]

L = 36 yd

Therefore, the length of a rectangle is 36 yards.

A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card

Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

F(t) = 200(0.95)^t
What is the rate of change?

Answers

Answer:

f(t)=-5%

Step-by-step explanation:

Answer:

the rate of change is 5%

Step-by-step explanation:

Given : Function

To find: What is the rate of change?

Solution :

The given function is an exponential function as it is in form

in which b is the factor of rate,

If b=1+r then r is the growth rate

If b=1-r then r is the decay rate.

We have given b=0.95

So, 0.95=1-r

r=1-0.95

r=0.05

i.e, It is a decay rate with 5%.

Therefore, The rate of change is 5%.

A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?

Answers

Answer:

here p=0.65 and n=100 hence standard error =(p*(1-.

Step-by-step explanation:

Solve for X 3x - 5X + 8x + x = 42

7
8
6​

Answers

Answer:

x = 6

Step-by-step explanation:

3x-5x+8x+x = 42

7x = 42

x = 6

Find the value of x,y, and z. Simplify the radical

Answers

Answer: This question is incomplete. I need an expression.

what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal

Answers

Answer:

322

Step-by-step explanation:

Triangle area = base*height)2Here, area = 23*28/2=322

Answer:

322 [tex]in^{2}[/tex]

Step-by-step explanation:

Hope this helped!

find the discriminant of -2x^2+8=x^2-28
show work please

Answers

Answer:

432

Step-by-step explanation:

Use the values of A, B, C to find the discriminant

 A wall in Marcus's bedroom is 813 feet high and 1615 feet long. If he paints 13 of the wall blue, how many square feet will be blue?​

Answers

Answer:

17,068,935 square feet

Step-by-step explanation:

square feet 1 wall = 813*1615 = 1312995

square feet 13 walls = 1312995*13 = 17068935 squre feet

2.5 kg rice at $1.90 per kg and 1.5 kg cornmeal at $2.92 per kg

Answers

Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38

Rice:

1kg costs $1.90

2.5kg will cost 1.90 * 2.5

                   --> $4.75

Cornmeal:

1kg costs $2.92

1.5kg costs 2.92*1.5

               --> $4.38

A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?

Answers

First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.

Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!

The bus will travel 162.5 miles!

Hope this helps :)

P(x)=x-3
g(x) = 2x-5
Find the following.
(p °q) (5)= and (q °p) (5)=

Answers

Part 1) Computing (p °q) (5)

[tex]p(x) = x-3\\\\p(q(x)) = q(x)-3\\\\(p \circ q)(x) = 2x-5-3\\\\(p \circ q)(x) = 2x-8\\\\(p \circ q)(5) = 2(5)-8\\\\(p \circ q)(5) = 2\\\\[/tex]

Answer:    2

===========================================================

Part 2) Computing   (q °p) (5)

[tex]q(x) = 2x-5\\\\q(p(x)) = 2(p(x))-5\\\\q(p(x)) = 2(x-3)-5\\\\(q \circ p)(x) = 2x-6-5\\\\(q \circ p)(x) = 2x-11\\\\(q \circ p)(5) = 2(5)-11\\\\(q \circ p)(5) = -1\\\\[/tex]

Answer:    -1

(a²-4) (9-b²) +24ab algebraic factorization​

Answers

Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36

Step-by-step explanation:

A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

Pharaphrase it if used.

Integrate:Cos 7x/(1+sin**2(7x))​

Answers

Answer:

7x/1+7sin(2)x

Step-by-step explanation:

The term laissez-faire refers to an economic system that is characterized by

A. public ownership of the basic means of production

B. equal distribution of goods and services to all citizens

C. little governmental involvement in business and financial matters

D. government planning for production of consumer goods

Answers

Answer:

Answer: C.

Step-by-step explanation:

the term laissez faire refers to the economic policy of letting owners of industry and business set working conditions without interference

a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.

B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?

Answers

Answer:

24 millimeters  B) Area of one side= 4*4

=16

Total number of faces= 6

Then total area= area of one side* number of sides

=16*6

=96 square cm

Step-by-step explanation:

Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M

Answers

The equation Q = 2 x M represents the relationship between question and time.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Zack takes a test, in which he answers at rate of 2 question per minute.

Also, Q represents questions

And M represents minutes.

According to given condition,

In 1 minute, Zack answers 2 question,

In M minutes, Zack answers 2 x M question,

Total questions presented by Q,

Q = 2 x M.

The required relationship for M and Q is Q = 2 x M.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ1

What percent of 80 is 60

Answers

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS

Answers

Answer:

14/15

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.

evaluate the expression 5 /6 + -3 /5

Answers

Step-by-step explanation:

[tex] \frac{7}{30} [/tex]

[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]

Help I need the answers ASAP

Answers

Answer:

7296 / 24 = 304

9216 / 18 = 512

11. 304
12. 512
those are the answers sorry if i’m late

please help me somebody will​

Answers

Answer:

66/54

Step-by-step explanation:

A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.

Answers

Answer:    y = (5/2)x - 1

Slope = 5/2

y intercept = -1

======================================================

Work Shown:

m = 5/2 = slope

(x1,y1) = (-2,-6) = point the line goes through

y-y1 = m(x-x1) .... point slope form

y-(-6) = (5/2)(x-(-2))

y+6 = (5/2)(x+2)

y+6 = (5/2)x + (5/2)*2

y+6 = (5/2)x + 5

y = (5/2)x + 5 - 6

y = (5/2)x - 1

This equation is in slope intercept form y = mx+b

m = 5/2 = slope

b = -1 = y intercept

Is the relationship between x and y proportional? Explain.

x y
5 25
6 30
7 35
8 40

Answers

Answer:

yes

Step-by-step explanation:

because

5/25=1/5

6/30=1/5

7/35=1/5

8/40=1/5

plz tag in brainlist...

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