Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?

Answer: Answer in picture

Step-by-step explanation:

Math

The correct relationship which does not represent a direct proportion is,

⇒ A dog groomer charges $15 per hour.

Given that;

The graph is shown relation between number of minutes and Distance.

Take two points on the line are,

(2, 100) and (4, 150)

Hence, From graph we get;

The equation of line is,

⇒ y - 100 = (150 - 100)/ (4 - 2) (x - 2)

⇒ y - 100 = 25 (x - 2)

⇒ y - 100 = 25x - 50

⇒ y = 25x - 50 + 100

⇒ y = 25x + 50

Thus, The correct relationship which does not represent a direct proportion is,

⇒ A dog groomer charges $15 per hour.

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We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

The area of the circle is 200.96 square kilometers, the area of the polygon is 181.02 square kilometers and the shaded region is 19.94 square kilometers.

The area A of a circle with radius r can be found using the formula:

A = πr^2

Plugging in the given value of radius, we get:

A = π(8 km)^2

Simplifying the expression, we get:

A = 64π km^2

So, we have

A ≈ 64 x 3.14 km^2

A ≈ 200.96 km^2

To find the area of an octagon with a radius of 8 km, we can break it up into eight congruent isosceles triangles.

So, we have

Area = 8 * Area of triangle

This gives

Area = 8 * 1/2 * r² sin(central angle)

So, we have

Area = 8 * 1/2 * 8² sin(45)

Evaluate

Area = 181.02

The shaded area is

Shaded = 200.96 - 181.02

Shaded = 19.94

Hence, the shaded area is 19.94 square kilometers.

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The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

I added a screenshot. ;)

Step-by-step explanation:

Answer:

I think it's 6,800 in3 I don't know perfectly whether it is correct answer or not

Answer:

I was unclear if you needed this solved in vertex or standard form, so I gave you both.

Vertex form: \((x - 4)^2 - 1\)

Standard form: \(x^2 - 8x + 15\)

Step-by-step explanation:

This is a quadratic equation. In order to solve this problem, you will need these equations:

Vertex form: \(a(x - h)^2 + k\)

Standard form: \(ax^2 + bx + c\)

Starting with vertex form:

The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.

\(a(x - 4)^2 - 1\)

You can disregard the "a" for this particular problem because it is equal to 1.

Standard form:

Now that you have vertex form, you can expand it into standard form.

\((x-4)^2 - 1\)

Use the FOIL method to multiply (x - 4)(x - 4).

This will equal \(x^2 - 8x + 16\).

Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with:

\(x^2 - 8x + 15\)

I'm in year 10 but here are some useful websites...

Answer:

Step-by-step explanation:

The simplest form of

480:384 is 5:4 the greatest common factor is 96 so divide the 2 numbers and you will get 4:5

.

Have a great day

Mark brainliest !!!

Answer:

3 kg÷ $3.49=.86

Step-by-step explanation:

3 kg÷ $3.49=.86

5 kg÷ 4.99=1.00

Answer:

STEP

1

:

Equation at the end of step 1

 (4x•((xy+(2•(y2)))-3y))-((2•(y2))•((2x2+4xy)+2x))

STEP

2

:

Equation at the end of step

2

:

 (4x•((xy+(2•(y2)))-3y))-(2y2•(2x2+4xy+2x))

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  2x2 + 4xy + 2x  =   2x • (x + 2y + 1)

Multiplying exponents:

4.2    21  multiplied by  21   = 2(1 + 1) = 22

Equation at the end of step

4

:

 (4x•((xy+(2•(y2)))-3y))-22xy2•(x+2y+1)

STEP

5

:

Equation at the end of step

5

:

 (4x•((xy+2y2)-3y))-22xy2•(x+2y+1)

STEP

6

:

STEP

7

:

Pulling out like terms

7.1     Pull out like factors :

  xy + 2y2 - 3y  =   y • (x + 2y - 3)

Equation at the end of step

7

:

 4xy • (x + 2y - 3) -  22xy2 • (x + 2y + 1)

STEP 8:

Pulling out like terms

9.1     Pull out like factors :

  -4x2y2 + 4x2y - 8xy3 + 4xy2 - 12xy  =

 -4xy • (xy - x + 2y2 - y + 3)

Final result :

 -4xy • (xy - x + 2y2 - y + 3)

Step-by-step explanation:

By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

(-5.5, 3.2) or the third option

Step-by-step explanation:

i did the test on edg

Answer: C: (-5.5, 3.2)

Step-by-step explanation: correct answer on edg2020. i took the quiz

Answer: 1.9 dollars

Step-by-step explanation:

I think this is correct I’m not sure Im sorry if it’s not

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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Answer:

30%

Step-by-step explanation:

To find a percentage of a number, take the part of the number and divide it by the whole, then multiply by 100%.

In this case:

6 / 20 = 0.3

0.3 * 100% = 30%

For the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.

For the given question,

The coordinates of the points L and K taken from the graph are-

L = (-7, 4)

K = (-4, 8)

The distance between the points are found by the distance formula given as;

d = √(x₂ - x₁)² + (y₂ - y₁)²

Where x and y are the respective coordinates of two given points.

put the value;

LK = √(-4 + 7)² + (8 - 4)²

LK = √(3)² + (4)²

LK = √25

Taking square root both sides.

Lk = 5 units.

Thus, for the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.

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Answer:

8.6

Step-by-step explanation:

We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)

17.2 / 2 = 8.6

We can check our work by multiplying

8.6 x 2 = 17.2

So it would take 8.6gal to fill it up. I hope this helps :)

The factory's total cost function is $20x - $50 and Average cost function is (20x - 50) / x

Henry works in a fireworks factory and can make 20 fireworks an hour. He earns $10 for the first five hours and $20 for each additional hour after that. The factory's total cost function is a linear function that has two segments. One segment will represent the cost of the first five hours worked, while the other segment will represent the cost of each hour after that.

The cost of the first five hours is $10 per hour, which means that the total cost is $50 (5 x $10). After that, each hour costs $20. Therefore, if Henry works for "x" hours, the total cost of his work will be:

Total cost function = $50 + $20 (x - 5)

Total cost function = $50 + $20x - $100

Total cost function = $20x - $50

Average cost is the total cost divided by the number of hours worked. Therefore, the average cost function is:

Average cost function = total cost function / x

Average cost function = (20x - 50) / x

Now, let's graphically depict the curves. The total cost function is a linear function with a y-intercept of -50 and a slope of 20. It will look like this:

On the other hand, the average cost function will start at $10 per hour and decrease as more hours are worked. Eventually, it will approach $20 per hour as the number of hours increases. This will look like this:

By analyzing the graphs, we can observe the relationship between the total cost and the number of hours worked, as well as the average cost at different levels of production.

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The stationary distribution of the given Markov chain with a state space of {1, 2, 3} and transition probability matrix P = {{0.5, 0.4, 0.1}, {0.3, 0.4, 0.3}, {0.2, 0.3, 0.5}} can be calculated by finding the eigenvector corresponding to the eigenvalue 1.

To find the stationary distribution of a Markov chain, we need to solve the equation πP = π, where π is the stationary distribution and P is the transition probability matrix. Since the stationary distribution is a probability distribution, the sum of its elements should be equal to 1.

In this case, we have the transition probability matrix P as given. To find the stationary distribution, we need to find the eigenvector corresponding to the eigenvalue 1. This can be done by solving the equation (P - I)π = 0, where I is the identity matrix.

By subtracting the identity matrix from P and solving the system of linear equations, we can find the eigenvector. The resulting eigenvector will represent the stationary distribution.

Performing the calculations, we find that the stationary distribution π is approximately {0.2, 0.4, 0.4} or 20%, 40%, and 40% respectively for states 1, 2, and 3. This means that in the long run, the Markov chain is expected to spend approximately 20% of its time in state 1, 40% in state 2, and 40% in state 3.

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The two numbers that have a difference of 152 and whose product is a minimum are 120 and -32.  To find these numbers, we can set up an equation. Let's call the larger number x and the smaller number y. Since we want the numbers to have a difference of 152, we can write the equation as x - y = 152.

To find the product, we can multiply the two numbers together. So the equation for the product is xy.

To find the minimum product, we can use the concept of quadratic equations. The product xy can be expressed as x(x - 152) or -y(y - 152). We can then find the minimum value by finding the vertex of the parabola formed by these quadratic equations.

Using calculus, we can find that the vertex occurs at x = 76 and y = -76. Therefore, the two numbers are 76 and -76, which have a difference of 152.

However, these numbers don't meet the condition of having a minimum product. To find the numbers with the minimum product, we need to consider the constraint that the numbers must be positive. The closest positive numbers to 76 and -76 are 120 and -32, respectively. These numbers have a difference of 152 and their product, 120 x -32, is equal to -3840.

Therefore, the two numbers whose difference is 152 and whose product is a minimum are 120 and -32.

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Answer:

It's the one with only one line.

Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

The value of the time premium is $100.

According to the statement

we have to find the time premium from the given information.

So, For this purpose, the given information is:

a strike price of $25 when the option price is $2 and the underlying common stock sells for $24

And

Time premium is the amount by which an option price exceeds its intrinsic value. The value of an option beyond its current exercise value representing the option holder's control until expiration, the risk of the underlying asset, and the risk less return.

So, From the given information and the formula

The value of the time premium is $100.

So, The value of the time premium is $100.

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Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

\((7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67\)

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

Answer:

B

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

Basis containing the given set of vectors is as follows:

(a) { (1, 0, 1, 0), (0, 1, 1, 0) }; (b) { (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }

(c) { [1 0 0 0], [0 2 0 0], [0 0 0 1] }

To construct a basis of V, we can use Gaussian elimination. We can start by creating an augmented matrix with the given vectors as columns:

(a)

| 1 0 1 0 |

| 0 1 1 0 |

| 1 0 -1 0 |

| 0 0 0 0 |

Perform elementary row operations to get matrix in row echelon form:

| 1 0 1 0 |

| 0 1 1 0 |

| 0 0 -2 0 |

| 0 0 0 0 |

Therefore, a basis for V is:

{ (1, 0, 1, 0), (0, 1, 1, 0) }

(b)

| 1 0 0 0 |

| 1 0 0 0 |

| 0 1 0 0 |

| 0 1 0 0 |

| 0 0 0 1 |

| 0 0 0 1 |

Perform elementary row operations to get matrix in row echelon form:

| 1 0 0 0 |

| 0 1 0 0 |

| 0 0 0 1 |

| 0 0 0 0 |

| 0 0 0 0 |

| 0 0 0 0 |

Therefore, a basis for V is:

{ (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }

(c) We can see that given set of vectors is already a basis for M22, since they are linearly independent. Therefore, a basis for V is:

{ [1 0 0 0], [0 2 0 0], [0 0 0 1] }

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