Earthquakes release seismic waves that occur in concentric circles from the epicenter of the earthquake. Suppose a seismograph station determines the epicenter of an earthquake is located 9 kilometers from the station.
If the epicenter is located at the origin, write the equation for the circular wave that passes through the station.
A. x2+y2=81
B. x2+y2=9
C. (x−9)2+(y−9)2=0
D. (x+9)2+(y+9)2=0

Answer:

the y-intercept is (0,-6)

the x-intercept is (8,0)

Step-by-step explanation:

Solving for the y-intercept:

Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):

3/4 is m (which is the slope)

-6 is c (which is the y-intercept)

Solving for the x-intercept:

When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':

0 = 3/4x - 6

3/4x - 6 + 6 = 6

3/4x = 6

x = 4/3 * 6

= 8

Hence,

the y-intercept is (0,-6)

the x-intercept is (8,0)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

\(\mathrm{X\:Intercepts}:\:\left(2,\:0\right)\)

\(\mathrm{Y\:Intercepts}:\:\left(0,\:1\right)\)

\(Slope\:(m)=-\frac{1}{2}\)

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

To learn more about time-series method visit:

brainly.com/question/32443421

#SPJ11

Answer:

2097152 is the answer to your question

Answer:

2,097,152

Step-by-step explanation:

8 to the 5th power is 32,768 and 2 to the 2nd is 64

We multiply those two numbers, and we get 2,097,152

Hope this is right, and helps! Please mark Brainliest!!

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

a) The minimum number of dogs that could have a mass of more than 27 kg is 4.

b) The maximum number of dogs that could have a mass of more than 27 kg is 17.

What is interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.

The given table shows information about the masses of some dogs.

a) As, the minimum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.

b) As, the maximum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.

To learn more about interval from the given link

https://brainly.com/question/17097944

#SPJ1

Non-normal distributions can take various forms, therefore, the correct answer is "All of the above."

A normal distribution, also known as a Gaussian distribution or bell curve, is characterized by a symmetrical shape with the majority of data points clustered around the mean, and the tails extending equally in both directions. However, real-world data often deviate from the normal distribution pattern.

Right-skewed distribution: This distribution is also known as positively skewed or right-tailed. It occurs when the tail of the distribution extends towards higher values, while the majority of the data is concentrated towards lower values.

Left-skewed distribution: Also referred to as negatively skewed or left-tailed, this distribution exhibits a tail extending towards lower values, while the bulk of the data is clustered towards higher values.

Leptokurtic distribution: Leptokurtic distributions have a higher peak and heavier tails compared to the normal distribution. They are characterized by a greater concentration of data points around the mean and a higher probability of extreme values.

Platykurtic distribution: Platykurtic distributions have a flatter shape and lighter tails compared to the normal distribution. They exhibit a lower peak and a lower probability of extreme values.

In summary, non-normal distributions encompass various shapes and characteristics, including right-skewed, left-skewed, leptokurtic, and platykurtic distributions. Therefore, all of the options provided are examples of non-normal distributions.

Learn more about distributions here:

https://brainly.com/question/30011644

#SPJ11

Answer:

50%

Step-by-step explanation:

Question:

Solution:

According to the weighted average, and the grade that the person obtained, the grade of each item would be:

TEST AVERAGE:

85 x 0.50 = 42.5

FINAL TEST GRADE:

90 x 0.20 = 18

HOMEWORK

95 x 0.15 = 14.25

CLASS PARTICIPATION

80 x 0.15 = 12

Thus, the total grade is:

42.5 + 18 + 14.25 + 12 = 86.75

that is the total grade would be

86.75 out of a total of 100 points as the maximum grade

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

\(x^{2}+y^{2}=r^{2}\)

using distance formula and substituting value,

\((3-(-1))^{2} +(1-(-1))^{2}=r^{2}\)

solving,

r=\(2\sqrt{5}\)

for equation of circle,

\((x-(-1))^{2} +(y-(-1))^{2} =20\)

on solving,

\(x^{2} +2x+1+y^{2}+2y+1=20\)

on solving,

\(x^{2} +2x+y^{2}+2y= 18\)

Answer:

Since -8<0 then the roots α and β of the quadratic equation ax^2 + bx + c = 0 are unequal and imaginary: α and β are a pair of the complex conjugates.

Answer:

x=59.5

Step-by-step explanation:

2x+3y=122

   -3y   -3y

2x=119

divide by 2 on both sides

and u get 59.5

Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

Answer:

\(\frac{1}{3^{4} }\)

Step-by-step explanation:

You can rewrite 3⁻⁴ as 1/(3⁴) or 1/81 without negative exponents.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

You can rewrite 3⁻⁴ as 1/(3⁴) because any number raised to a negative exponent is equal to 1 divided by that number raised to the opposite positive exponent.

So 3⁻⁴ = 1/(3⁴) = 1/81

Another way, you can think of it as "flipping" the base, i.e. (1/3)⁴ = 1/81

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

The interquartile range is Q1 from Q3.

The lower quartile 25% and the upper quartile is 75%.

To find the quartile boundaries, we need to count the total number of observations in the dataset (which, in this case, is 44). Then, we multiply the desired percentage (25% for Q1 and 75% for Q3) by the total number of observations to get the number of observations that should be below the corresponding boundary.

To find Q1, we would calculate 0.25 x 44 = 11. We then locate the interval that contains the 11th observation and use the upper endpoint of that interval as the estimate of Q1. We repeat this process for Q3, using 0.75 x 44 = 33 as the number of observations that should be below the corresponding boundary.

Once we have estimated Q1 and Q3, we can then estimate the interquartile range by subtracting Q1 from Q3. This tells us how far apart the middle 50% of the data is, and gives us an idea of the variability of the dataset.

To know more about interquartile here

https://brainly.com/question/29173399

#SPJ1

Answer:

11 months

Step-by-step explanation:

Answer:11 Months

Step-by-step explanation:

Nine hundred divided 76 equals Months 900÷76=M

Answer:

4 over 9, 4/9

Step-by-step explanation:

have a good day:)

Answer:

B : 279.46 ( 24871.94 ÷89)

= 279.46 good for the hot tub

(B) 279.46

Answ

Step-by-step explanation:

its d i got wrong

The size of the angle 'x' is 117°

An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.

In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.

Here we have  a triangle

Let the ABC be the triangle as given in the picture

=> ∠A = 38°  

From the baseline BC

=> Measure of B = 180° - 101° = 79°

As we know

In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles

=> x = ∠A + ∠C

=> x = 38° + 79°

=> x = 117°  

Therefore,

The size of the angle 'x' is 117°

Therefore,

Learn more about Triangles at

https://brainly.com/question/9934544

#SPJ1

Answer:

3 x 2/5 = 6x/5

Step-by-step explanation:

steps 3x 2/5 = 2. 3x / 5 = 6x/5

6/5 is the model representing the product of 3*2/5.

The number or expression resulting from the multiplication together of two or more numbers or expressions.

Given  3*2/5.

3*2/5 = 6/5

Hence, the product of 3*2/5 is 6/5

For more references on products, click;

https://brainly.com/question/22852400

#SPJ2

The density of z:=y-x is found to be z.e⁻ᶻz for the given joint probability density function.

Given, x and y have the joint probability density function

f(x,y) = e⁻ˣ⁻ʸ¹(0,∞)(x)¹(0,∞)(y).

We have to compute the density of z:

=y-x.

Now, let's use the transformation method to compute the density of z:

=y-x.

We are given, z:

=y-x,

hence y:

=z+x.

Now, let's solve for x and y in terms of z,

∴ x=y-z

From the above equation,

∴ y=z+x

As we know,

|J| = ∂x/∂u.∂y/∂v − ∂x/∂v.∂y/∂u|

where u and v are the new variables.

Here, the Jacobian is as follows,

|J|=∂x/∂z.∂y/∂x − ∂x/∂x.∂y/∂z

|J|=1.1−0.0

|J|=1

Now, let's compute the joint probability density of z and x.

f(z,x) = f(z+x,x) |J|

f(z+x,x)|J|=e⁻⁽ᶻ⁺ˣ⁾⁻ˣ₁(0,∞)(z+x)₁(0,∞)(x)

|J|f(z,x) = e⁻ᶻ¹(0,∞)(z) ∫ e⁻ˣ₁(0,∞)(x+z) dx

f(z,x) = e⁻ᶻ¹(0,∞)(z) ∫ e⁻ᶻ ᵗ ᵈᵗ

f(z,x) = e⁻ᶻ[e⁻ᶻ ∫ dx]¹(0,∞)(z)

f(z,x) = ze⁻ᶻz¹(0,∞)(z)

Know more about the joint probability

https://brainly.com/question/30224798

#SPJ11

Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 \(*\\\) 6 = 18

2. 18 + 7 = 25

option 1 is correct , trigonometric ratio to solve for the missing side is sine.

we have an angle of 54 degrees and a hypotenuse of 12 units. We can use trigonometric ratios to solve for the missing side, which is the perpendicular side.

In a right triangle, the three primary trigonometric ratios are:

Sine (sin): the ratio of the length of the side opposite the angle to the hypotenuse.

Cosine (cos): the ratio of the length of the side adjacent to the angle to the hypotenuse.

Tangent (tan): the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Given that we know the hypotenuse (12 units) and the angle (54 degrees), we can use the sine ratio to solve for the length of the perpendicular side. The sine ratio is defined as:

sin(x) = opposite/hypotenuse

Plugging in the given values:

sin(54 degrees) = opposite/12

To solve for the length of the perpendicular side (opposite), we can rearrange the equation:

opposite = sin(54 degrees) * 12

Using a calculator, we can find the value of sin(54 degrees) and multiply it by 12 to find the length of the perpendicular side.

therefore, option 1 is correct , trigonometric ratio to solve for the missing side is sine.

To learn more about , trigonometric ratio visit:

https://brainly.com/question/25122825

#SPJ1

Answer:

c

Step-by-step explanation:

there are 3 groups of 9....

Answer:

14.84

Step-by-step explanation:

20*(6%+1)*(1-30%)

20*(0.06+1)*1-0.3)

20*1.06*0.7

14.84