Rotation 180 degrees about the origin V(2, 0), S(1, 3), G(5, 0)

Answer:

1) The image of the line has the same slope as the pre-image but a different y-intercept.

hope this helps ;)

Answer:

Perimeter of a square = 40 acres

Step-by-step explanation:

Given the following data;

Area of square = 100 acres

The area of a square is given by the formula;

Area of square = l²

Where: l is the length of its sides.

100 = l²

Taking the square root of both sides, we have;

l = 10 acres

Now to find the perimeter;

Perimeter of a square = 4 * length of sides

Perimeter of a square = 4 * 10

Perimeter of a square = 40 acres

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Answer:

y=2x-2

Step-by-step explanation:

m= slope= rise/ run. 2/1=2

Y intercept is -2, so the linear equation equals y=2x-2

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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The solution to the differential equation 2y' - y = cosh(x) is:

y = (1/2) e^(x/2) sinh(x)

To solve the differential equation 2y' - y = cosh(x) using power series, we first assume that the solution can be written as a power series in x:

y(x) = a0 + a1 x + a2 x^2 + a3 x^3 + ...

Differentiating both sides of this equation with respect to x gives:

y'(x) = a1 + 2a2 x + 3a3 x^2 + ...

Substituting these expressions for y and y' into the differential equation, we have:

2(a1 + 2a2 x + 3a3 x^2 + ...) - (a0 + a1 x + a2 x^2 + ...) = cosh(x)

Simplifying and collecting terms, we get:

(-a0 + 2a1 - cosh(0)) + (-2a0 + 3a2) x + (-3a1 + 4a3) x^2 + ...

To solve for the coefficients, we equate the coefficients of the same powers of x on both sides of the equation. This gives us the following system of equations:

a0 + 2a1 = cosh(0)

-2a0 + 3a2 = 0

-3a1 + 4a3 = 0

...

The general formula for the nth coefficient is given by:

an = (-1)^n / n! * [2a(n-1) - cosh(0)]

Using this formula, we can compute the first six coefficients:

a0 = 1/2

a1 = 1/4

a2 = 1/48

a3 = 1/480

a4 = 1/8064

a5 = 1/161280

To solve the differential equation using the methods of chapter 3, we rewrite it in the form y' - (1/2) y = (1/2) cosh(x). The integrating factor is e^(-x/2), so we multiply both sides of the equation by this factor:

e^(-x/2) y' - (1/2) e^(-x/2) y = (1/2) e^(-x/2) cosh(x)

The left-hand side can be written as the derivative of e^(-x/2) y:

d/dx [e^(-x/2) y] = (1/2) e^(-x/2) cosh(x)

Integrating both sides with respect to x gives:

e^(-x/2) y = (1/2) sinh(x) + C

where C is an arbitrary constant. Solving for y, we get:

y = (1/2) e^(x/2) sinh(x) + C e^(x/2)

Using the initial condition y(0) = 0, we can solve for the constant C:

0 = (1/2) sinh(0) + C

C = 0

Therefore, the solution to the differential equation 2y' - y = cosh(x) is:

y = (1/2) e^(x/2) sinh(x)

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The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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Answer: A, B, and E

Step-by-step explanation:

On edgenuity

Answer:

A B and E is correct on edge 2021

Step-by-step explanation:

trust me i got it correct on edge

There are a total of three medals to be given out in the race - gold, silver, and bronze. Since we know that at least one child will receive a medal, we need to consider the possible outcomes for the top three positions with at least one child among them.

We can break this down into three cases:

Case 1: A child wins first place. There are 25 children in the race, so there are 25 possible outcomes for the first place winner. After the child wins first place, there are 99 runners left in the race, including 24 children. Therefore, there are 98 possible outcomes for second place (since the first place winner cannot also be second), and 97 possible outcomes for third place. So the total number of outcomes for this case is: 25 x 98 x 97 = 235,150.

Case 2: A child wins second place. There are 25 possible outcomes for the second place winner (since the first place winner cannot be a child). After the second place winner is determined, there are 99 runners left in the race, including 24 children. Therefore, there are 74 possible outcomes for first place (since a child cannot win first place in this case), and 96 possible outcomes for third place. So the total number of outcomes for this case is: 74 x 25 x 96 = 177,600.

Case 3: A child wins third place. There are 25 possible outcomes for the third place winner (since the first and second place winners cannot be children). After the third place winner is determined, there are 99 runners left in the race, including 24 children. Therefore, there are 74 possible outcomes for first place, and 73 possible outcomes for second place. So the total number of outcomes for this case is: 74 x 73 x 25 = 135,050.

Adding up the outcomes from all three cases, we get: 235,150 + 177,600 + 135,050 = 547,800.

Therefore, there are 547,800 possible outcomes for who gets which medal in a race with at least one child receiving a medal.

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Answer:

the mean of 8 children = mean of 5 boys + mean of 3 girls / 2

10.5 + 9.5 / 2

20 / 2

= 10 kg

therefore mean of 8 children is 10 kg

The statement that best represents the function must be identified by reading the graph.

A) When  x < 0, the function is negative.

This is accurate; as you can see, the function is negative for x < 0 because it is below the horizontal axis.

We shall see that choice A is the proper one. "When x < 0, the function is negative."

The function tends to infinity on the positive side at an x close to zero.

The function tends to negative infinity at x close to zero on the negative side.

The function tends to zero as x's absolute value grows.

So we can conclude that this is an inverse function similar to:

y = f(x) = 1/x

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Answer:

5.1y-3.3

Explination: none

Answer:

5.1y-3.3

Step-by-step explanation:

I am sorry if its wrong

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

The correct answer is D) I only. In this case, the confidence interval and hypothesis test would not yield the same results.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

When the null hypothesis contains a population parameter that is equal to zero, the hypothesis test will test for whether or not the parameter is significantly different from zero. A confidence interval constructed for the same parameter will also show whether or not the parameter is significantly different from zero. In this case, the confidence interval and hypothesis test would yield the same results.

However, when the alternative hypothesis is two-tailed, the hypothesis test will test for whether the parameter is significantly different from a certain value, but it will not tell us the direction of the difference. A confidence interval constructed for the same parameter will give us a range of values that the parameter could take, but it will not tell us whether the parameter is significantly different from a certain value. In this case, the confidence interval and hypothesis test would not yield the same results.

Therefore, The correct answer is D) I only.

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Answer:

x = 1/ 9100

plz mark my answer as brainlist plzzzz and plz vote

I think that the answer would be 14

Answer:

6^6 = 36 (squared my radius in order to find the area of one circle)

36 x 3.14(multiplied my radius by pi to find the area) = 113.04

Now we multiply the area of one circle with the height since it is a prism throughout the whole shape.

113.04 x 9 = 1,017.36 in^3 is your answer.

Step-by-step explanation:

Formula of area of a circle:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius squared(your radius is half of your diameter or given radius, your radius should be squared in order to find the area).

πr^2

pi x radius^2(radius being squared)

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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Answer:

elaborate

Step-by-step explanation:

Answer: 127

Step-by-step explanation:

<TWV is the sum of the other 2 angles.  Create your equation

<UWV + <TWU = < TWV

n + 45 + 8n + 127 = -10n +77               >Combine like terms

9n + 172 = -10n +77                             > add 10n to both sides

19n +172 = 77                                        >Subtract 172 from both sides

19n = -95                                              >Divide by 19 to both sides

n= -5                                                     >plug back in to find angle

<TWV = -10n +77

<TWV =  -10(-5) +77

<TWV = 127

All monuments cast a shadow when the sun is shining, as they block the sunlight and create a shadow on the ground or nearby surfaces. T

The size and shape of the shadow will depend on the position of the sun in the sky, the orientation of the monument, and its size and shape.

Some famous monuments that cast impressive shadows include the Pyramids of Giza, the Eiffel Tower, the Washington Monument, and the Stonehenge.

We can use proportions to solve the problem.

Let x be the length of Kyle's shadow.

We know that the length of the monument's shadow is 16 feet, and its height is  \(64 f\) Feet. So the ratio of the length of the monument's shadow to its height is:

\(16/64 = 1/4\)

This ratio is equal to the ratio of Kyle's shadow length to his height:

\(x/6.25 = 1/4\)

To solve for x, we can cross-multiply:

\(x = 6.25/4 = 1.5625\)

Therefore, the length of Kyle's shadow is approximately \(1.56\) feet (or  \(18.72 inches)\) .

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Answer:

The distance each bus travels is given as d=tr where

- d is distance bus travels

- t is a time bus travels

- r is the speed of the bus

:

Distance first bus travels for 4 hours is d1=4r.

Distance other bus travels for 4 hours is d2=4(r+12).

:

The total distance between them is 480 miles and since they go in opposite directions this distance is the sum of distances each bus travels.

:

d1+d2=480

4r+4(r+12)=480

4r+4r+48=480

8r+48=480

8r=432

r=432/8

r=54 mph, this is a speed of the first bus

:

r+12=66 mph, this is the speed of the second bus

Hope this helps you!!!! :D

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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Answer: x=4.7°

Step-by-step explanation:

\(m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\\)

Divide both parts of the equation by 10:

\(x=4.7^0\)

is your high school on crack or what, i can not figure this out...

Answer:

-27

Step-by-step explanation:

8x - 6 - 7y + 3

X = 3 Y = 6

8(3) - 6 - 7(6) + 3

8 x 3 = 24

7 x 6 = 42

24 - 6 - (42 + 3)

(24 - 6) - 45

18 - 45 = -27

The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different

In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.

To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:

sin(A)/a = sin(B)/b = sin(C)/c

This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.

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Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.

(a) which variable is independent and which variable is dependent in this scenario?

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks  

Answer:

Step-by-step explanation:

From the given information:

(a) which variable is independent and which variable is dependent in this scenario?

An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.

A dependent variable is a variable where on variable is dependent on the other variable.

From the question given;

time (t) in minutes is the independent variable

Distance D from home is the dependent variable

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      

We are being told that Evin starts 38 blocks from home,

Then she is just starting, i.e from rest

Then; at time t = 0 , she is 38 block distance from home

However, if she walks 2 blocks each minute,

then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.

If she walks for 5  minutes,

then she will be (38 - 2(5) ) blocks away from home

= 38 - 10

= 28 blocks away from home

If she walks for 10 minutes,

then she will be (38 -2(10)blocks away from home

= 38 - 20

= 18 blocks away from home.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      38              36         28        18