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

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]

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

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:

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%.

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

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

Answer:

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

Step-by-step explanation:

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 :)

Answer:

66/54

Step-by-step explanation:

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

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

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.

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.

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

#SPJ2

Answer:

7296 / 24 = 304

9216 / 18 = 512

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.

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]

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

Answer:t=10.05s

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

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

7x = 42

x = 6

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

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!!!

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:

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...

Answer:

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

Step-by-step explanation:

Answer:

lines c and p

Step-by-step explanation:

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

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.

Answer:

432

Step-by-step explanation:

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

Answer:

7x/1+7sin(2)x

Step-by-step explanation:

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.

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

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

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

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!