What are the factors of the function represented by this graph?
Y10-
-10
8 -6 14
OA. (x-4) and (x-8)
OB. (x-4) and (x+8)
8
d
-8
10

Three "real-world" variables for which you expect a marginal association between X and Y but conditional independence controlling for Z are:

- X = Hours spent studying
- Y = Grades in school
- Z = Intelligence

In this scenario, there is a marginal association between the hours spent studying (X) and the grades in school (Y), as it is expected that the more time a student spends studying, the better their grades will be.

However, when controlling for intelligence (Z), the association between X and Y becomes conditional independence, as intelligence can also affect grades in school.

In other words, the relationship between X and Y is no longer significant when controlling for Z.

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Based on the function given, the slope of the function can be found to be 1.25.

The slope of a function refers to the value that the dependent variable, x, changes by as a result of a unit change in the independent variable, y.

In a linear function, the slope is m as shown below:
y = mx + b

y = dependent variable

m = slope

x = independent variable

b = y- intercept

As seen above, the slope multiplies the independent variable which means that in the function, y = 5x + 3, the slope is 5.

Question is:
What is the slope of the function?

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Answer:

the answer is c btw ndnsh DC d

Answer:

11/30, 2/5, 7/15

Step-by-step explanation:

Answer:

$14,766.00

Step-by-step explanation:

Interest = principle x rate x time

I = 13800 (.14)(.5)

I = 966

Total:

Principle plus interest

13800 + 966 = 14,766

Helping in the name of Jesus.

Answer:

The petrol used was 0.1 litre for every 1 kilometre.

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

Answer:

x = 10 degr

Step-by-step explanation:

3x + 46 + 14 = 90

3x + 60 = 90

3x + 60 - 60 = 90 - 60

3x = 30

x = 10 deg

Answer:

Step-by-step explanation:10

We discovered that the number is \(-8\) by solving the \(32/(14-6)+9-7*3\) above equation.

Finding a slope between two points along a line and then solving again for y-intercept inside the slope-intercept formula \(y=mx+b\) allow us to build an equation for the that line. The line passing between the coordinates \((-1,6)\) and is represented by an equation in this example \((5,-4)\).

\(Ax+By=C\) is the usual form for two-variable linear equations. A typical form linear equation is, for instance, \(2x+3y=5\). When a solution is provided in this format, finding both intercepts is rather simple (x and y).

\(32/(14-6)+9-7*3\)

\(= 32/ 8 + 9 - 21\)

\(= 4 +9 -21\)

\(= 13 - 21\)

\(=-8\)

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The complete and the correct form of question is:

\(32/(14-6)+9-7*3\) solve the given equation?

No. of pennies and nickels are 53 and 29 respectively

Let the number of pennies be x

Let the number of nickels be y

Value of pennies = $0.01x

Value of nickels = $0.05y

It is given that value of pennies and nickels = $1.98

Therefore the equation will be,

0.01x + 0.05y = 1.98

x + 5y = 198------(1)

Also, the number of pennies is five less than twice of nickels

x = 2y - 5

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

Adding equations (1) and (2) we get,

(x + 5y) + (2y - x) = 203

7y = 203

y = 29

Substituting the value of y in equation (1) we get,

x = 53

Therefore, the no. of pennies is 53 and the no. of nickels is 29

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Answer:

2x+6y=-4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

5y + 4 = 10 ( subtract 4 from both sides )

5y = 10 - 4 , that is

5y = 6

Thus 5y + 4 = 10 is equivalent to 5y = 6

Answer: y=  9x+6y=15

Step-by-step explanation:

Answer:

I think it's c. (76,108)

Step-by-step explanation:

because 76+108 = 184 - half of which is the mean

so c. is more likely

(76, 108) is the  range of possible values that best describes an estimate for the population mean.

The given sample mean is 92.

(80, 112)= 80+112/2

=96 which is not equal to 92.

(82, 114)=82+114/2

=98 which is not equal to 92.

(76, 108)= 76+108/2=92

The value 92 which is  equal to 92.

(78, 110)​ = 78+110/2

=94 which is not equal to 92.

(76, 108) is the  range of possible values that best describes an estimate for the population mean.

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The area of the blue triangle is 320 square meters.

If the scale factor between the two triangles is K, then the scale factor between the areas is K².

To find K, we can write:

11*K = 44

Solving for K

K = 44/11 = 4

Now, the area of the blue triangle will be:

area = 20*K²

area = 20*(4)² = 320

The area is 320 square meters.

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To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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The division of (x²+3x-9) by (x-2) using long division is:

Quotient: x

Remainder: 1

To divide the polynomial (x²+3x-9) by (x-2) using long division, follow these steps:

Step 1: Set up the division with the dividend (x²+3x-9) as the numerator and the divisor (x-2) as the denominator.

Write them in the long division format:

      ___________________

x - 2 | x² + 3x - 9

Step 2: Divide the first term of the dividend (x²) by the first term of the divisor (x). Place the result on top:

      ___________________

x - 2 | x² + 3x - 9

      x

Step 3: Multiply the divisor (x-2) by the quotient obtained in Step 2 (x) and write the result below the dividend. Subtract this result from the dividend:

      ___________________

x - 2 | x² + 3x - 9

      x² - 2x

    ____________

          5x - 9

Step 4: Bring down the next term from the dividend (-9):

      ___________________

x - 2 | x² + 3x - 9

      x² - 2x

    ____________

          5x - 9

          - 5x + 10

    _______________

                1

Step 5: Since there are no more terms in the dividend, the remainder is 1.

Therefore, the division of (x²+3x-9) by (x-2) using long division is:

Quotient: x

Remainder: 1

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Answer:

It's G

Step-by-step explanation:

It has an acute angle while two of the other answers are vertical angles & the other answer choice is obtuse

The angle 12 has the greatest measure than the angle 5,7 and angle 8 option (F) ∠12 is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

From the figure

The angle 5 and angle 7 are vertically opposite angles.

The angle 8 is an acute angle which is less than 90 degree.

The angle 12 is an obtuse angle which is greater than 90 degree.

Thus, the angle 12 has the greatest measure than the angle 5,7 and angle 8 option (F) ∠12 is correct.

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The mean when the time required to play a certain board game is uniformly distributed between 15 and 60 minute is 35.6.

In statistics, the mean is a measure of central tendency that is calculated by summing up a set of numerical values and dividing by the number of values in the set. The mean is also known as the arithmetic mean or the average.

For example, suppose we have the following set of numbers: 3, 5, 7, 10, and 12. To find the mean, we add up these numbers (3 + 5 + 7 + 10 + 12 = 37) and divide by the number of values in the set (5). The mean of this set of numbers is 7.4, which represents the typical or average value of the set.

The formula for the mean is:

mean = (sum of values) / (number of values)

By using the Excel formula= AVERAGE (data), sample mean will be 35.6.

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y = b/4n

\(\\\\\)

Step-by-step explanation:

The rotated equation for the given function is 6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

To eliminate the xy-term in the equation 6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0, we can perform a rotation of axes.

Let's assume that the new coordinates after the rotation are \(x_2\) and \(y_2\). To eliminate the xy-term, we need to choose an angle of rotation that satisfies the equation:

tan(2θ) = -2√3

To find θ, we can solve for it using the inverse tangent function:

2θ = atan(-2√3)

θ = atan(-2√3) / 2

Once we have the angle of rotation \(\alpha\), we can perform the rotation by substituting the following expressions:

x = \(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\)

y = \(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\)

Now, let's substitute these expressions into the original equation and simplify:

6\((x_2cos(\alpha ) - y_2sin(\alpha ))^2\) - 4√3(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) )(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) )

2\((x_2sin(\alpha ) + y_2cos(\alpha ))^2\) + 4(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) ) + 4√(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) ) = 0

Expanding and combining like terms, we have:

6\(x_2^2\)\(cos^2\alpha\) - 12\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 6\(y_2^2\)\(sin^2\alpha\)

4√3\(x_2^2\)cos\(\alpha\) sin\(\alpha\) - 4√3\(y_2^2\)cos\(\alpha\) sin\(\alpha\)

2\(x_2^2\)\(sin^2\alpha\) + 4\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 2\(y_2^2\)\(cos^2\alpha\)

4\(x_2\)cos\(\alpha\)  - 4\(y_2\)sin\(\alpha\) + 4√(\(x_2\)sin\(\alpha\)  + \(y_2\)cos\(\alpha\) ) = 0

Next, we need to choose \(\alpha\)  such that the coefficients of the cross terms (\(x_2y_2\) terms) become zero. In this case, the coefficient of \(x_2y_2\) is:

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\)

We set this equal to zero and solve for \(\alpha\) :

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\) = 0

-16cos\(\alpha\) sin\(\alpha\) = 0

cos\(\alpha\) sin\(\alpha\) = 0

This equation holds true for two cases:

cos\(\alpha\) = 0, which gives \(\alpha\) = π/2

sin\(\alpha\) = 0, which gives \(\alpha\) = 0

So, we have two possible angles of rotation: θ = 0 and θ = π/2.

Now, let's analyze both cases:

Case 1: θ = 0

If θ = 0, then the new coordinates become \(x_2\) = x and \(y_2\) = y.

Substituting this back into the original equation, we get:

6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0

This is the original equation without the xy-term, so no further rotation is necessary.

Case 2: θ = π/2

If θ = π/2, then the new coordinates become \(x_2\) = -y and \(y_2\) = x.

Substituting this into the original equation, we get:

6\((-y)^2\) - 4√3(-y)(x) + 2\((x)^2\) + 4(-y) + 4√(x) = 0

Simplifying, we have:

6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0

This is the rotated equation with the xy-term eliminated.

To summarize:

After performing the rotation of axes, we have two possible cases:

θ = 0: No further rotation is needed.

θ = π/2: The rotated equation is 6\(y_2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

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Answer:

-40

Step-by-step explanation:

Just multiple the 2 numbers like usual than add the negative to your answer

Answer:

5/7 cannot be simplified any further

Step-by-step explanation:

Answer:As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

We know,

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

Now, we will substitute the given values in the formula :

Note :

Answer might be different if we take the value of π as 22/7 .

Step-by-step explanation:

Answer:

volume of cylinder= πr²h

22. ×4²×5

7

22 × 16×5

7

251.43 inches³

volume of cone=1 × πr²×h

3

1×22×4²×5

3. 7

83.81 inches ³

Answer:

777y us or do we will miss because

The length of the diameter of the circle which  the equation x + y + 18x-22y = -153 is 3.5 units long.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The equation of the circle given as,

\(x^2 + y^2 + 18x-22y = -153\)

Rearrange the equation to make it as standard form,

\(x^2 + y^2 + 18x-22y = -153\\x^2 + 18x+ y^2-22y = -153\)

Add 121 and 81 both side of the equation,

\(x^2 + 18x+81+ y^2-22y+121 = -153+81+121\\x^2 + 18x+9^2+ y^2-22y+11^2 =41\)

Using the formula of whole square,

\((x+9)^2+(x-11)^2=7^2\\(x-(-9))^2+(x-11)^2=7^2\)

Compare it with standard equation, we get the radius of the circle r is 7.

As the radius is half of the diameter. Thus, the diameter of the circle is,

\(d=\dfrac{7}{2}\\d=3.5\rm\; units\)

Thus, the length of the diameter of the circle which  the equation x + y + 18x-22y = -153 is 3.5 units long.

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Answer:

scatter pattern

Step-by-step explanation:

The surface area and the volume of each solid are listed below:

Case 23

A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³

Case 13

A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79  m³

In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:

Triangles

A = 0.5 · w · h

Rectangle

A = w · h

Circle

A = π · r²

Surface of a hemisphere

A = 2π · r²

Surface of the inclined section of a cone

A = π · r · l

Lateral surface of a cylinder

A = 2π · r · l

Volume of a prism

V = A' · l

Volume of a hemisphere

V = (2π / 3) · r³

Volume of a pyramid

V = (1 / 3) · A' · l

Where:

Now we proceed to determine the surface area and the volume of each solid:

Case 23

Surface area

A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)

A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²

A = 216 + 153√3 cm²

A = 481 cm²

V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)

V = 324√3 cm³

V = 561.18 cm³

Case 13

Surface area

A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)

A = 575π m²

A = 1806.42 m²

Volume

V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)

V = 4000π / 3 m³

V = 4188.79  m³

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

A department has five employees with five jobs to be performed . the time in hours each man will take to perform each jobs is given the effectiveness matrix .

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation: