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Fudgin [204]
3 years ago
8

This problem uses the Richter scale for the strength of an earthquake. The strength, W , of the seismic waves of an earthquake a

re compared to the strength, W_0, of the seismic waves of a standard earthquake. The Richter scale rating, M is given by the following equation:
M= log(w/w_0)
Now, consider the Caracas earthquake, which occurred in Venezuela in the year 1967 and had a Richter scale rating of 6.5. How many times more powerful were the seismic waves of the Caracas earthquake than standard seismic waves?
Mathematics
1 answer:
olga55 [171]3 years ago
8 0
By using formula given above, M= log(w/w_0), we can find 
10^M= w/w_0, it means 10^M.w_0,= w
but M=6.5, so 10^6.5=3162277,66

the seismic waves of the Caracas earthquake were 3162277,66 times more powerful of the standard seismic waves
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Answer:

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Step-by-step explanation:

In order to find the amount of the tip that T.J. and Lindsey will leave for their waiter, you have to multiply the lunch cost for the percentage they want to leave as a tip for their waiter:

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3 years ago
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
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Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

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In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

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15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

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Step-by-step explanation:

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