The Richter Scale gives a mathematical model for the magnitude of an earthquake in terms of the ratio of the amplitude of an earthquake wave (also known as the intensity of an earthquake) to the amplitude of the smallest detectable wave. If we denote the magnitude of the earthquake by R, the intensity (also known as the amplitude of the earthquake wave) of the earthquake by A, and the amplitude of the smallest detectable wave by S, then we can model these values by the formula R=log(AS)
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.
Answers
Answer:
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
The 1906 earthquake had a intensity of A and a magnitude of 7.8.
S is going to have the same value, so i am going to write as 1. So:
Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.
So
So
The magnitude of the claimed earthquake would be 13.67.
Related Questions
Helppp ME PLSSSSPLS
Which of the following rules best describes the matrix belowa. dilation of scale factor 2b. reflection over the y-axisc. reflection over the line y = xd. translation 1 unit left and 1 unit up
Which choice is equivalent to the expression below?√√-12 A. 2√3 OB. -12i OC. -2√3 D. 2√31 E. 12/
Graph the equation x= -7/2 by plotting points
Answers
Answers
Answer:
5x^2+5x-1
Step-by-step explanation:
-2x^2+9x-3+7x^2-4x+2=5x^2+5x-1
(4, −5)
and passes through
(7, 4)
Answers
Answer:
Step-by-step explanation:
The equation of a circle of radius r, centered at the point (a,b) is
We already know the center is at , we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):
radius
And now that we know the radius, we can write the equation of the circle:
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
1/4 = 0.25 x 2 = 0.5 = 1/2
many inches of ribbon will she need?
24 inches
36 inches
A 156 inches B 120 inches
C90 inches
D 60 inches
Answers
The amount of ribbon needed is 120 inches
what is perimeter?
The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.
Given:
length = 24 inches
width = 36 inches
So, amount of ribbon needed
=2(36+ 24)
=2(60)
=120 inches
Hence, the amount of ribbon needed is 120 inches
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Answer:
option B
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
Make xi the subject in the first equation
Substitute 1 + x2 for xi in the second equation
Open bracket
Collect Like Terms
Solve for x2
Recall that:
Final answer:
The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.
Explanation:
The system of equations in question is:
1) x1 - x2 = 1
2) 3x1 + x2 = 3
The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.
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