The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (StartFraction I Over I Subscript 0 Baseline EndFraction). Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io?

A.) I = 810(Io)

B.) Io = 810(I)

C.) I = 108(Io)

D.) Io = 108(I)

Answer:

The correct option is C: I = 10⁸I₀.   

Step-by-step explanation:

The function of the Richter scale is:

[tex] M_{(I)} = log(\frac{I}{I_{0}}) [/tex]

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

[tex] 8.0 = log(\frac{I}{I_{0}}) [/tex]

[tex] 10^{8} = \frac{I}{I_{0}} [/tex]

[tex] I = 10^{8}I_{0} [/tex]

Therefore, the correct option is C: I = 10⁸I₀.                

I hope it helps you!                    

The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

Given that,

The 1985 Mexico City earthquake measured a magnitude of 8.0 on the Richter scale.

The Richter scale uses the function M (I) = log (Start Fraction I Over I Subscript 0 Baseline End Fraction).

We have to determine,

Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io.

According to the question,

The function of the Richter scale is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}][/tex]

The magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, [tex]I_0[/tex] is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}]\\\\8 =log[ \dfrac{I}{I_0}][/tex]

Taking log base 10 both sides,

[tex]10^8 = \dfrac{I}{I_0}\\\\I = 10^8I_0[/tex]

Hence, The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

To know more about the Exponential function click the link given below.

https://brainly.com/question/15673235

sea level = 0

A submarine is 120 ft below sea level. It climbs 50 ft towards sea level.

Where is the submarine compared to sea level now?

A. −170 ft

B. 70 ft

C. −70 ft

What is the value of the expression with base 2 and exponent 5

A ferry travels 45 miles every $1\frac{1}{2}$

hours.

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?

The perimeter of a rectangle is 24 inches. If the length of the rectangle is less than the width of the rectangle, which of the following best illustrates the domain for the length of this rectangle?​

find the sum: (6a + 6) + (3x - 2) + (2a + 4)

what's is the square root of -1

-i
i
-1
1

An artist creates an abstract sculpture that appears as a box perched on top of a post. The box is in the shape of a cube with edges measuring 5 inches each. It is placed on top of a post in the shape of a rectangular prism with a length of 3 inches, a width of 4 inches, and a height of 18 inches. The volume of the entire sculpture (box and post) is (how many) cubic inches.

2. Express each of the following as a rational number in the form of p/q
Where q≠0

U r g e n t ! ! ! 5 0 p o i n t s ! ! !

Algebra 1 Q. Checkpoint: Function concepts HWA The organizers of the Clark County Fair keep track of daily revenue from ticket sales. The function f(x) gives the revenue from ticket sales on day x of the fair. The revenue is measured thousands of dollars. What does f(4) > f(1) tell you? The revenue from ticket sales on day 4 was greater than $1,000. The fair had greater revenue from ticket sales on day 4 than on day 1. On day 1, the revenue from ticket sales was less than $4,000. $4,000 in ticket revenue is greater than $1,000 in ticket revenue. Submit.​

You go to the mall and your mom gives you $60 to spend on back to school clothes. There is a shirt you want for $80, but it is 25% off. Will you have enough money?

what would the perimeter of this shape if we enlarged it by a scale of 2.5?

ASAP SOLVE THE SLOPE

there is a proportional relationship between time in hours and time in days.
A) what is the constant of proportionality?
B) what equation describes this relationship?

How do I simply these in easy simple terms please I’m very tired

y+4=2y-3, find y and show your work.
​

Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.

Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

Which statement is true for the data sets?

A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.

Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 8/3x?

MARKING BRAINLIEST PLZ HELP! You are given the following five lines:
Line 1: y=-2x + 9
Line 2: y= 1/2x + 1
Line 3: y= 2x + 2
Line 4: 6x - 3y = 6
Line 5: 4x + 2y = 4

Part A: Which two lines could be used to create a system of equations that has no solution? Explain your answer

Part B: Which two lines could be used to create a system of equations that has many solutions? Explain your answer

Part C: Which two lines could be used to create a system of equations that has one solution? Explain your answer​

Which expression is equivalent to 4/9 (2n - 3n)
A. 8/9 n - 1 1/3
B.8/9 n - 3
C. 2n - 3
D. 2n - 1 1/3​

(-5,5)(5,0) help pls need the work shown as well ahaha!

Bobby delivered 9/10 of the mail . How much more mail does Bobby have to deliver

A, O and B lie on a straight line segment where
A=24,B=40 C=31
i)AOB=
ii)ZOB=
iii)XOY=
iv)AOY=
v)YOZ=

If you can anserw both of them that’ll be great if not that’s okay too !! I need this as fast as possible thank you !!!!

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!

Sara bought a computer that was originally priced at $896. The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer?
(Round to the nearest cent)

2(x-6)+3x+4=

Helpppppp.

Question 1
Simplify
5y - 2y + y + y

Make x the subject of the
formula x + 1 = ax + 3

help !? please!!!!!!