Seismologists use the Richter scale to express the energy, or magnitude, of an earthquake. The Richter magnitude of an earthquake, M, is related
energy released in ergs E shown by the formula
M
flog (10)
A recent earthquake in Peru registered a 4.0 on the Richter scale. How much energy in ergs was released by this earthquake?
(Enter you answer in terms of 10 and use Shift 6^ for exponents)
ergs

Answer:

\(4x^3-7x^2-6x+3\)

Step-by-step explanation:

\((2x-1)(2x^2-5x-3)\\\\=4x^3-10x^2-6x-2x^2+5x^2+3\\\\=4x^3-7x^2-6x+3\)

Answer:

So 3/7 is the fraction of the money John received.

Step-by-step explanation:

3:4, so John is 3 and Peter is 4.

Now add these up for the denominator which is 3+4=7

and put Johns value over it, Johns value is 3.

So 3/7 is the fraction of the money John received.

Step-by-step explanation:

6³×(½)³

=> 216÷8 = 27.

hope this helps you.

Answer:

0, 7, 26, 63

Step-by-step explanation:

1st term: f(1) = 1^3 - 1 = 0

2nd term: f(2) = 2^3 - 1 = 8 - 1 = 7

3rd term: f(3) = 3^3 - 1 = 27 - 1 = 26

4th term: f(4) = 4^3 - 1 = 64 - 1 = 63

Answer:

its a

Step-by-step explanation:

credit to the person that said it was a in the comments :)

Answer:

AAAAAAAAAAAA is correct

Step-by-step explanation:

Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

The expression written in the simplest scientific notation is 6. 4 × 10^4

Scientific notation can be defined as a mathematical method of presenting numbers or figures too large or small in simpler forms.

It is also termed index form or standard form

From the information given, we have that;

Now, substitute the values

8 × 10² × 3. 2 × 10^5 / 4 × 10³

Using the rule of exponent, we have;

25. 6  × 10^2 + 5/ 4 × 10³

25. 6 × 10^7/ 4 × 10³

Divide the numbers, we have

6. 4

Take the inverse power of the denominator

6. 4 × 10^ 7 - 3

6. 4 × 10^4

Thus, the expression written in the simplest scientific notation is 6. 4 × 10^4

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Answer:

B

Step-by-step explanation:

3 power of 4 equal to 81

3 power of 2 equal to 9

81/9 = 9

Answer: B. 9

Step-by-step explanation: To convert 3 to the 4th power/ 3 to the second power, then you’ll have to figure out the whole number form of both integers. Next, you‘ll have to divide both whole numbers (81 & 9). 81 ÷ 9 =  9. So, your final answer should be B. 9.

And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)

To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)

For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.

To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:

integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx

= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx

= integral from 0 to 2 of \(c*x^2 x2d\)

= [2c/3 * x^3] evaluated from 0 to 2

= (16c/3)

For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:

f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }

To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx

= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx

= integral from 0 to 2 of (3/16)*x^2 dx

= [3/16 * x^3/3] evaluated from 0 to 2

= 1

Therefore, the expected value of Y is 1.

To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx

= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx

= integral from \(0 to 2 of (3/8)*x^2 dx\)

= \([3/8 * x^3/3]\) evaluated from 0 to 2

= 2

And , the Y's variance is

\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)

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Answer:

(-2, 5), x = -2, y = 5

Step-by-step explanation:

When x = -2 and y = 5 on both equations, the equations become true.

The result is roughly 4, as we may round 65 to the closest choice and get 64, which matches to response choice C.

The degree to which the data points in a data distribution or data collection deviate from the average value and from one another is virtually by definition the measure of variability.

We must first determine the average price of used automobiles sold at every dealership in order to determine the variance between the means in order to address this problem. After that, we can calculate the number of times the variation can be found in the difference by dividing the disparity between the averages by the variability.

By locating the middle of the price range displayed on the dot plots, we can calculate the mean cost of used cars sold for each dealership. The price range for dealership A is roughly $15,000 to $20,000, with $17,500 serving as the midpoint. The range for dealership B is roughly $16,000 to $21,000, with $18,500 serving as the midpoint.

The difference between the means is therefore $18,500 - $17,500 = $1,000.

When the difference is divided by the variability, the result is:

$1,000 ÷ ($1,538/100) = 100,000 ÷ 1,538 = 64.93

The variability is therefore nearly 65 times larger than the disparity between the means.

We must round our response to the closest choice since neither of the possible answers is close to 65. The result is roughly 4, as we may round 65 to the closest choice and get 64, which matches to response choice C.

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Answer:

first one

Step-by-step explanation:

all the others are lower than 3/4 or .75

Step-by-step explanation:

I don't even get the question pls forgive me

\(\bold{Answer:}\)

☑ Complementary angles means sum of any pair of angles which measures 90°.

Now... Let the unknown value of angle be x°.

Therefore,

✍ x° + 51° = 90°

✍ x = 90° - 51°

✍ x = 39°

Hence, The value of unknown angle is 39°.

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Answer:

  f(x) = -2(x +5)²(x -2)(x -4)

Step-by-step explanation:

When a polynomial has a zero of x=p, that means it has a factor of (x-p). The multiplicity of a zero corresponds to the exponent of that factor (the number of times it is a factor). The polynomial can be made to include a specific point by choosing a vertical scale factor. Here, that is represented by 'a'.

Your polynomial will be ...

  f(x) = a(x +5)²(x -2)(x -4)

We want f(3) = 128, so ...

  128 = a(3 +5)²(3 -2)(3 -4) = -64a

  -2 = a . . . . . divide by -64

The function is then ...

  f(x) = -2(x +5)²(x -2)(x -4)

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

12\(\sqrt{3}\) \(cm ^{2}\)

Step-by-step explanation:

'To determine the area of the parallelogram, you need the value of h so that you can compute A = b * h

sin(A) = opposite / hypotenuse = h / a

This means that you can compute h like this:

h = sin(A) * a

Your area is...

A = b * h = sin(A) * a * h'

Now, you can fill in the numbers for the variables and result to your answer.

Another short way to find you answer is to use a very similar equation...

A = (h) * (a) * sin(A)

A = (4) * (6) * sin(60°)

A = 24sin(60°)

A = 24 * (\(\sqrt{3}\) / 2)

A = 12\(\sqrt{3}\) \(cm^{2}\)

So

Opposite angles of a parallelogram are equal

Here

Height of parallelogram:-

Now

Area

Answer:

5 is the correct answer

Step-by-step explanation:

20 divide by 100 because it is in percent and 20 miltiply by 100 and there is the sign of multiply (of) is also known as multiply soo 20\100 * 25 will be the answer 5

Answer:

83  and 91

Step-by-step explanation:  10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

Option (D) is correct.

What is the intersection of two sets?

The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.

In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.

So the correct answer is {2, 4, 6, 8}

Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

I need degrees and numbers to figure out the answers

answer should be A since its by months C would be Y and M be X since its charging per movire

The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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The equation that is equivalent to P = B + Brz is:

r = (P - B) / Bz

To see why, we can rearrange the original equation as follows:

P = B + Brz

P - B = Brz

(P - B) / Bz = r

Therefore, r = (P - B) / Bz is equivalent to P = B + Brz.

Now let's check the given options:

x = P/Br + 1/r

This equation is not equivalent to P = B + Brz.

r = (P - B) / Bz

This is the correct equation that is equivalent to P = B + Brz.

r = Bz / (P - B)

This equation is not equivalent to P = B + Brz.

B = P / (rz + 1)

This equation is not equivalent to P = B + Brz.

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The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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x⁵ + 2x³ + 2x² + 6x + 3

-3x⁵ - 3x⁴ + 2x³ + 6x

___________________________

-2x⁵ - 3x⁴ + 4x³ + 2x² + 12x + 3

Answer:

answer is yesterday was thrusdays

Answer:

12 degrees celsius

Step-by-step explanation:

28 - 16=12

hope it helps