The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is

The domain and the range of function f are given as follows:

The domain of a function is the set that contains all the input values that can be assumed by the function.

The function in this problem is a fraction, meaning that the denominator must assume values different of zero, hence the values outside the domain are:

x² - 3x - 18 = 0.

(x - 6)(x + 3) = 0

Hence:

Hence the domain is:

(-∞, -3) U (-3, 6) U (6, ∞).

The range of a function is the set that contains all the output values that can be assumed by the function.

The x - 6 term can be canceled, hence the output value that the function will never assume is of:

1/(6 + 3) = 1/9.

And also y = 0, as it would assume a value of zero at x = 6 but the denominator would also be zero.

Hence the range is of:

(-∞, 0) U (0, 1/9) U (1/9, ∞).

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Answer:

A. 5x+y+3

Step-by-step explanation:

to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3

The value of p(a) is 0.5

Mutually exclusive events are those events that do not occur at the same time

Given,

The a and b are mutually exclusive events

P(a AND b)=0

P(a)=0.48

p(a or b)=0.98

We know that,

P(a or b)=P(a)+P(b)-P(a AND b)

P(a or b)=P(a)+P(b)-0

P(a or b)=P(a)+P(b)

P(a)=P(a or b)-P(b)

Substitute the given values

P(a)= 0.98-0.48

P(a)=0.5

Hence, the value of P(a) is 0.5

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Answer:

2nd choice

Step-by-step explanation:

Dilation is enlarging or shrinking using

a specific scale factor.

Dilation changes the position and

size shape.

Tutors

top and bottom choices look like they are different shapes

The graph that shows a dilation is the second image because both the figure and the image have the same shape.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Since, We know that;

Dilation is the increase or decrease in the size of a figure by a factor k.

And, The dilated figure has the same shape as the original figure.

Thus, The graph that shows a dilation is the second image because both the figure and the image have the same shape.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

y = 8x + 12

Step-by-step explanation:

The equation for all linear equations (slope-intercept form) is y = mx + b where m = slope and b = the y-intercept.

According to the information given, the slope is 8, and the y-intercept is 12. The y-intercept is 12 because the line touches the y-axis at (0,12).

That means that m = 8 and b = 12...

y = mx + b

y = 8x + 12

I hope this helps! Have a great day!

Answer:

y=8x+12

Step-by-step explanation:

The lift force pushing up on the plane is approximately 2,625,992 N.

To determine the lift force pushing up on the plane, we'll use the given terms:

plane's speed (725 m/s),

altitude (4000 m),

air density (0.819 kg/m³),

air velocity above the wing (805 m/s),

air velocity below the wing (711 m/s),

and wing area (45.0 m²).

Calculate the pressure difference above and below the wing using Bernoulli's equation.

ΔP = (0.5 × air density × (velocity below wing² - velocity above wing²))
ΔP = (0.5 × 0.819 kg/m³ × (711 m/s² - 805 m/s²))

Calculate the lift force.
Lift Force = ΔP × Wing Area
Lift Force = (-58355.388) × 45.0

Lift Force = -2625992.46 N

Performing the calculations, we find that the lift force pushing up on the plane is approximately 2,625,992 N.

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The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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To find the y-intercept substitute x as 0

\(y = 1 \times {0}^{2} + 7 \times 0 - 5\)

\(y = 1 \times 0 + 0 - 5\)

\(y = 0 + 0 - 5\)

\(y = - 5\)

We know that:

Finding the y-intercept.

In the equation provided, we can see only one constant.

Thus, the y-intercept is -5.

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

Answer:

Find the area of the circle then divide by two

Step-by-step explanation:

Answer: answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11 +5+5

2n ≥ -6 2/2 ≤ -6/2

n ≤ -3 -6 - 10n > 44

+6 +6-10n > 50 -10/-10 50/-10

n < -5

x/3-10=8

x/3=18

x=48

The answer to your question is that the mean of the sampling distribution of the proportion is equal to the proportion of  factorization the population, which is 0.95 in this case.

when we take a random sample from a population, the proportion of individuals with the characteristic of interest in the sample may not be exactly the same as the proportion in the overall population. However, if we take many random samples from the population and calculate the proportion of individuals with the characteristic in each sample, the distribution of those sample proportions will follow a normal distribution with a mean equal to the population proportion and a standard deviation determined by the sample size.

Therefore, in this case, since the proportion of the population with the characteristic is 0.95, the mean of the sampling distribution of the proportion will also be 0.95. This means that if we take many random samples from the population and calculate the proportion of individuals with the characteristic in each sample, the average of those proportions will be very close to 0.95.

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Answer:

pog

Step-by-step explanation:

Poggers

Answer:

slope intercept form is y = mx + b

It looks like y= x+3 is the only option in slope intercept form

if I am right than right angle is equal to 90 degree

but here the answer or the value of my will be 78 degre cause opposite side of a parallels linse cut by transversal are equall

Answer:

its 102

Step-by-step explanation:

got it right on edge

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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The statement ''the shape of a sampling distribution of sample means that follows the requirements of the central limit theorem will be approximately bell-shaped.'' is true. The statement ''A sampling distribution of sample means has a mean, μ /√n 1to.'' is false.

(a) According to the central limit theorem, when the sample size is sufficiently large, the sampling distribution of sample means will approximate a bell-shaped distribution, regardless of the shape of the population from which the samples are drawn. This is one of the key properties of the central limit theorem.

(b) The correct formula for the mean of a sampling distribution of sample means is μ, not μ/√n. The mean of the sampling distribution of sample means is equal to the population mean (μ). The formula μ/√n is used to calculate the standard deviation (σ) of the sampling distribution, not the mean.

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9514 1404 393

Answer:

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

__

b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

__

c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

__

d) The coefficient of x being 7500 means the value will increase 7500 each year.

Answer:

38... 19 doubled thats it

Answer:

38

Step-by-step explanation:

Rounded to the nearest tenth is 40

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 1.4\%\to \frac{1.4}{100}\dotfill &0.014\\ t=years\dotfill &6 \end{cases} \\\\\\ A=5000[1+(0.014)(6)]\implies A=5000(1.084) \implies A = 5420\)

Answer:

2/5

1/6

1/10

Step-by-step explanation:

total number of cubes = 12 + 5 + 3 = 20

Probability of picking green cubes = total number of green cubes / total number of cubes = 12/30 = 2/5

Probability of picking blue cubes = total number of blue cubes / total number of cubes = 5/30 = 1/6

Probability of picking yellow cubes = total number of yellow cubes / total number of cubes =  3/30 = 1/10

Answer:

The answer is A

Step-by-step explanation:

The 95% confidence interval interpretation is as follows:

The 95% confidence interval means that  we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).

However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.

If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.

If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.

The exact width of the interval would depend on the sample size and standard deviation used to compute it.

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the angle of that is a right angle I think hope this helps

Constant of variation for given quadratic equation is 2/3

Correct option is a.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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Answer:

we are farmers duhduhdhdudhdhdhn