MATHEMATICS COLLEGE

The magnitude of an earthquake depending on the energy it produces can be modeled using the equationM = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of

Answers

Answer 1
Answer:

Final answer:

The equation 'M = 0.6666 log x - 3.2' describes the relationship between the energy produced by an earthquake (x) and its resulting magnitude (M). The 0.6666 in the formula is the growth factor. To get a magnitude for a specific energy level, we plug the energy value into the formula, and solve.

Explanation:

The equation given represents the relationship between the magnitude of an earthquake (M) and the energy it produces (x), with M being the earthquake's magnitude and x being the energy produced by the earthquake. This equation is a logarithmic model with a base of 10 (without the base explicitly stated, we assume it to be 10).

  1. The curve representing the relationship includes the point: To identify a point, we need a specific x-value for the energy level. For instance, for x=1000, we can plug it into the equation to get the magnitude M = 0.6666 log(1000) - 3.2.
  2. The growth factor is: In this context, the growth factor refers to the constant 0.6666 which is multiplied by the logarithm. This factor impacts the rate at which the magnitude of the earthquake grows for a given increase in energy.
  3. An earthquake with an energy level of (an x-value should be inserted here) has a magnitude of: We would again plug the energy value (x-value) into the formula, compute the expression to determine the corresponding magnitude.

Learn more about Logarithmic Earthquake Model here:

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Answer 2
Answer:

Answer:

Step-by-step explanation:

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QuestionAlice drove from the town of Everett to the town of Gage at an average speed of 45 miles per hour. If she
Grove for 40 minutes, how far did she travel? (1 hour = 60 minutes)

Answers

45 miles per hour is equal to 45 miles per 60 minutes. Let’s make it into a ratio, 45:60, and simplify it to 3:4 by dividing each by 15. Now, we can multiply the simplified ratio by 10 to get 30:40, which translates to 30 miles in 40 minutes.

Answer: 30 miles

A waffle recipe uses 3 cups of mix for 4 waffles. How much mix would you need to make 12 waffles

Answers

Since we know that 3 cups make 4 waffles, and we want 12 total waffles, we know that we need to multiply the recipe by 3 in order to have enough ingredients for 12 waffles.

So we multiply 3 cups by 3 (because we need to triple the recipe) and we get:

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Line A: y = 1/2 x + 2 Line B: y = - 1/2 x + 7
Line C: y = 2x + 4
Line D: y = 1/2 x + 5/4

Which lines are parallel?

A) A and B
B) A and C
C) B and C
D) A and D

Answers

the answer to the problem is C) B and C

Write the related series for the finite sequence 1.5, 2.7, 3.9, . . ., 8.7? Then find the sum.

Answers

Subtract each terms.

2.7 - 1.5 = 1.2
3.9 - 2.7 = 1.2

From these, we can see that they add 1.2 each time. 8.7 is the last number, so each numbers in the sequence is.

1.5, 2.7, 3.9, 5.1, 6.3, 7.5, 8.7

Add all of these numbers together.

1.5 + 2.7 + 3.9 + 5.1 + 6.3 + 7.5 + 8.7 = 35.7

35.7 is your answer

hope this helps

Answer:35.7

Step-by-step explanation: subtract the numbers

Decide on what substitution to use, and then evaluate the given integral using a substitution.(Remember to use absolute values where appropriate.) ∫ [(x⁵− x⁴) / (5x6 − 6x5)] dx

Answers

Answer:

The answer is (1)/(30)\Big[2\log x-\log 6\Big]

Step-by-step explanation:

Given,

\int (x^(5)-x^(4))/(5x^(6)-6x^5)dx

=\int (x^4(x-1))/(x^5(5x-6))dx

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=(1)/(30)\Big[5\log x +\log (5x-6)\Big]

=(1)/(30)(2\log x-\log 6)

Hence the result.

How many solutions does the absolute value equation have?

I x - 3 I + 2 = -2

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

__

Additional comment

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
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