which one im cunfused

Answer: MN=6

Step-by-step explanation:

\(\displaystyle\\MN=\frac{20*3}{3+4+3} \\\\MN=\frac{60}{10}\\\\ MN=\frac{6*10}{10}\\\\MN=6\)

Answer:

90

Step-by-step explanation:

Because ur multiplying each number by 10

Answer:

  c = 30t +50

Step-by-step explanation:

The number of clients grew at the rate of 30 per year. Since we know that ...

  (t, c) = (1, 80) . . . . . . independent variable t; dependent variable c

we can use a point-slope form of the equation of the line:

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

  c = 30(t -1) +80

Simplifying, this becomes ...

  c = 30t +50

Answer:

\( \frac{1}{2} \)

Step-by-step explanation:

5 is a half of 10

Answer:

238

Step-by-step explanation:

the quotient simply means the result of the division. when you divide 952 by 4, you get 238

The height of the object with a weight of 50 newtons and a gravitational potential energy of 30 Joules is 6 meters.

Gravitational potential energy is simply the energy an object possesses in relation to another object due to gravity.

This is expressed as;

U = m × g × h

Where m is mass, g is acceleration due to gravity and h is height

Weight = Mass × gravity = mg

Hence;

U = Weight × h

Given the data in the question;

Plug the given values into the formula above and solve for height.

U = Weight × h

h = U / Weight

h = 30kgm²/s² / 5kgm/s²

h = 6m

Therefore, the height of the object is 6 meters.

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The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

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Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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The measure of angle JKH is 180 - 9x + 2

180 = 23 + JHK + JKH

180 = 23 + 5x - 1 + 180 - 9x + 2

180 = 204 - 4x

- 24 = - 4x

x = 6

Answer:

x = 5

Step-by-step explanation:

The orthocenter is determined by the intersection of altitudes, the centroid is determined by the intersection of medians, the incenter is determined by the intersection of angle bisectors, and the circumcenter is determined by the intersection of perpendicular bisectors.

1. Orthocenter: The orthocenter of a triangle is the point of intersection of the altitudes. An altitude is a line segment drawn from a vertex of the triangle perpendicular to the opposite side. The orthocenter does not necessarily lie inside the triangle; it can be inside, outside, or on the triangle itself.

2. Centroid: The centroid of a triangle is the point of intersection of the medians. A median is a line segment drawn from a vertex of the triangle to the midpoint of the opposite side. The centroid always lies inside the triangle and divides each median into two segments, with the ratio of 2:1 from the vertex to the midpoint

3. Incenter: The incenter of a triangle is the point of intersection of the angle bisectors. An angle bisector is a line segment that divides an angle into two equal angles. The incenter always lies inside the triangle and is equidistant from the three sides of the triangle.

4. Circumcenter: The circumcenter of a triangle is the point of intersection of the perpendicular bisectors. A perpendicular bisector is a line segment that is perpendicular to a side of the triangle and passes through its midpoint. The circumcenter is the center of the circle that circumscribes the triangle, and it can be inside, outside, or on the triangle itself.

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Answer:

Step-by-step explanation:

25% = 1/4 of 100

100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200

If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.

50... ok......

50 = 25%

Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people

So, if 25-15=10

and then 5% = 10 people

5%+5%=10

10+10=20

That means, that 20 people more liked the movie than disliked it.

The overall supply of money in an economy depends on the amount of central bank money (base money or high powered money) through the money multiplier effect. An increase in foreign output (Y*) has a positive effect on the domestic income level (Y) in an open economy setting.

i) In an open economy setting, an increase in foreign output (Y*) affects the domestic income level (Y) through the expenditure approach. The equation used to explain this relationship is the expenditure-output (income) equation, which is a fundamental component of aggregate demand. The equation is:

Y = C + I + G + (X - M)

where:

Y = Domestic income level

C = Consumption

I = Investment

G = Government spending

X = Exports

M = Imports

When there is an increase in foreign output (Y*), it implies an increase in exports (X). This increase in exports leads to an increase in the net exports term (X - M) of the equation. Net exports represent the difference between exports and imports. As net exports increase, the equation suggests that the domestic income level (Y) also increases.

The increase in foreign output (Y*) implies that more goods and services are being produced by the foreign economy. This, in turn, leads to an increase in the demand for imports (M) from the foreign economy.

As a result, the net exports term (X - M) in the equation becomes larger, contributing positively to the domestic income level (Y). This is due to the increased demand for exports, which leads to an increase in net exports and ultimately boosts the domestic income level.

ii) The overall supply of money in an economy depends on the amount of central bank money, also known as base money or high powered money (H), through the money multiplier effect. The central bank can change the overall supply of money without changing the amount of central bank money through open market operations and changes in reserve requirements.

The overall supply of money in an economy is determined by the money multiplier effect. The money multiplier represents the ratio between the overall supply of money and the amount of central bank money. It shows how much commercial banks can expand the money supply through the lending process.

The money multiplier formula is:

Multiplier = 1 / Reserve Requirement

Reserve requirement refers to the percentage of deposits that banks must hold as reserves and not lend out. When the central bank changes the reserve requirement, it affects the money multiplier and, consequently, the overall supply of money. Lowering the reserve requirement increases the money multiplier, leading to a higher overall supply of money. Conversely, increasing the reserve requirement decreases the money multiplier and reduces the overall supply of money.

Additionally, the central bank can change the overall supply of money through open market operations. Open market operations involve the buying or selling of government securities by the central bank. When the central bank buys government securities, it injects money into the economy, increasing the overall supply of money.

Conversely, when it sells government securities, it withdraws money from the economy, reducing the overall supply of money. However, the central bank can change the overall supply of money without changing the amount of central bank money by adjusting the reserve requirement or conducting open market operations.

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$39.99+238.8+1.75x and  $4.99=1.99x+$40 are the algebraic expressions of given data.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that $39.99 /month, unlimited texting , 120MB data (Overages $1.99 /MB talk is $1.75 /minutes

$39.99+120(1.99)+1.75x

$39.99+238.8+1.75x

$4.99 /month, unlimited texting ,$40 for 80MB data talk is $1.99 /minutes

$4.99+1.99x+$40

Hence, $39.99+238.8+1.75x and  $4.99+1.99x+$40 are the algebaic expressions of given data.

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In the novel "To Kill a Mockingbird" by Harper Lee, during the trial of Tom Robinson in chapters 17-19, Mayella Ewell accuses Tom of raping her. One piece of evidence presented during the trial is a chart showing the timeline of events on the day in question. According to the chart, Mayella asked Tom to come inside the fence to help her with a task. She claimed that she needed him to break up an old chiffarobe (a type of cabinet) for firewood. However, during cross-examination, Tom reveals that Mayella actually asked him to come inside the fence to help her with a different task - to get a box from the top of the chiffarobe. When Tom climbed up to get the box, Mayella hugged him from behind and then kissed him. This unexpected advance scared Tom, and he quickly left the scene. Mayella's false testimony highlights the prejudice and racism present in Maycomb and the injustice of the trial.

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The particular solution that satisfies the initial conditions is: x(t) = 4e^(-2t), y(t) = 0. The values of λ₁, y₁, λ₂, and y₂ are: λ₁ = -1, y₁ = [0 0], λ₂ = -2, y₂ = [1 -2]

To write the given system of differential equations in matrix form, we can use the notation X' = AX, where X = [x y] and X' represents the derivative of X with respect to t.

The system of equations is:

-2x + y = 0 ---(1)

dy + 2x - 3y = 0 ---(2)

Rewriting equation (1) and (2) in matrix form:

X' = [x' y'] = [0] * [x] + [1] * [y]

[2] [-2] [-3]

Therefore, A = [[0 1]

[-2 -3]]

To find the eigenvalues and eigenvectors, we need to solve the characteristic equation:

|A - λI| = 0, where λ is the eigenvalue and I is the identity matrix.

|[-λ 1]

[-2 -3-λ]| = 0

Expanding the determinant, we get:

(-λ)(-3-λ) - (-2)(1) = 0

λ² + 3λ + 2 = 0

Solving this quadratic equation, we find the eigenvalues:

(λ + 1)(λ + 2) = 0

λ₁ = -1

λ₂ = -2

To find the eigenvector corresponding to λ₁ = -1, we substitute it into the equation (A - λ₁I)v = 0, where v is the eigenvector.

(A - λ₁I)v = [[1 1]

[-2 -2]] * [v₁ v₂] = 0

Simplifying this, we get the equation:

v₁ + v₂ = 0 ---(3)

-2v₁ - 2v₂ = 0 ---(4)

From equation (3), we can write v₁ = -v₂. Substituting this into equation (4), we get:

-2(-v₂) - 2v₂ = 0

4v₂ = 0

v₂ = 0

From equation (3), v₁ = -v₂ = 0.

Therefore, the eigenvector corresponding to λ₁ = -1 is [0 0].

To find the eigenvector corresponding to λ₂ = -2, we substitute it into the equation (A - λ₂I)v = 0, where v is the eigenvector.

(A - λ₂I)v = [[2 1]

[-2 -1]] * [v₁ v₂] = 0

Simplifying this, we get the equation:

2v₁ + v₂ = 0 ---(5)

-2v₁ - v₂ = 0 ---(6)

From equation (6), we can write -2v₁ = v₂. Substituting this into equation (5), we get:

2v₁ + (-2v₁) = 0

0 = 0

Since the equation 0 = 0 holds true, v₁ can be any real number. Let's choose v₁ = 1.

From equation (6), we have -2(1) - v₂ = 0, which gives v₂ = -2.

Therefore, the eigenvector corresponding to λ₂ = -2 is [1 -2].

Now we have the eigenvalues and eigen vectors:

λ₁ = -1, corresponding eigenvector: [0 0]

λ₂ = -2, corresponding eigenvector: [1 -2]

The general solution to the system of differential equations is given by:

X(t) = C₁ * e^(λ₁t) * eigenvector₁ + C₂ * e^(λ₂t) * eigenvector₂

Substituting the values:

X(t) = C₁ * e^(-t) * [0 0] + C₂ * e^(-2t) * [1 -2]

= [0 0] + C₂ * e^(-2t) * [1 -2]

= [C₂ * e^(-2t) - 2C₂ * e^(-2t)]

Therefore, the solution can be written as:

x(t) = C₂ * e^(-2t) - 2C₂ * e^(-2t)

y(t) = 0

Now, let's find the particular solution that satisfies the initial conditions x(0) = 4 and y(0) = 1.

Using the initial conditions, we have:

x(0) = C₂ * e^(-20) - 2C₂ * e^(-20) = 4

C₂ - 2C₂ = 4

-C₂ = 4

C₂ = -4

Therefore, C₂ = -4.

Substituting this value of C₂ into the general solution, we get:

x(t) = -4 * e^(-2t) - 2(-4) * e^(-2t)

= -4e^(-2t) + 8e^(-2t)

= 4e^(-2t)

y(t) = 0

Therefore, the particular solution that satisfies the initial conditions is:

x(t) = 4e^(-2t)

y(t) = 0

The values of λ₁, y₁, λ₂, and y₂ are:

λ₁ = -1

y₁ = [0 0]

λ₂ = -2

y₂ = [1 -2]

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Answer:

2

Step-by-step explanation:

Answer:

Angle A is 30

Angle B is 150

Step-by-step explanation:

So we have the supplementary angles A and B. In other words:

\(A+B=180\)

We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:

\(B=30+4A\)

We now have a system of equations. Solve by substitution of B into the first equation:

\(A+B=180\)

\(A+(30+4A)=180\)

Combine like terms:

\(5A+30=180\)

Subtract 30:

\(5A=150\)

Divide by 5:

\(A=30\)

So, Angle A is 30 degrees.

And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.

Answer:

x is 3. 3 should be the answer.

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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Using proportions, it is found that your cost is of $12,411.

A proportion is a fraction of a total amount.

In this problem, the treatment costs $16,911, with a deductible of $1,000, hence the price is already of $15,911.

The insurance will pay 85% of the remaining cost, or $3,500, whichever is greater, hence:

0.85 x 15911 = $13,524 > $3,500.

Hence, the insurance pays only $3,500, and your cost is given by:

15911 - 3500 = $12,411.

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Answer:

3.25 and -2.651639344262295...

Step-by-step explanation:

if 0.5(r + 2.75) = 3, then r = 3.25

if 30.5(r + 2.75) = 3, then r = -2.651639344262295...

I would appreciate Brainliest, but no worries.

Answer:

3.25

Step-by-step explanation:

Answer:

x=? y=?

y=13-3x

5x+(13-3x)=21

5x+13-3x=21

2x+13=21

2x=21-13

2x=8

x=8/2

x=4

20+y=21

y=21-20

y=1

The initial position of the point W (-13, 9)

The transformed position of the point W' (-9, -13)

when transformed 90 degrees counterclockwise, the coordinates of the original position is swapped and the y-coordinate is negated

That is if the W coordinate is (x,y), the transformation W coordinate in 90 degrees counter-clockwise will be (-y, -x )

Since W is (-13, 9)

Then W' will be ( -9 , -13)...In 90 degrees counterclockwise

a) The null hypothesis (H0) in this case would be that the median household income in Atlanta did not change between 1999 and 2003. The alternative hypothesis (Ha) would be that the median household income in Atlanta increased over the same period.

b) To test this, we can use a box model. The box represents the distribution of incomes in 1999, and the alternative hypothesis suggests that the median income in 2003 shifted to the right. We can calculate the z-score for the sample proportion (56%) using the formula z = (p - P0) / sqrt(P0(1-P0)/n), where p is the sample proportion, P0 is the hypothesized population proportion (52%), and n is the sample size. This will give us the test statistic.

To calculate the p-value, we can use the standard normal distribution table or a calculator to find the area under the curve beyond the test statistic. The p-value represents the probability of observing a sample proportion as extreme as the one we found, assuming that the null hypothesis is true.

c) If the p-value is smaller than a pre-determined significance level (e.g., 0.05), we would reject the null hypothesis. This would suggest that there is sufficient evidence to conclude that the median household income in Atlanta did increase between 1999 and 2003. If the p-value is larger than the significance level, we would fail to reject the null hypothesis and would not have enough evidence to conclude that the median household income increased.

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Answer:

D. \(\mathrm{1\frac{1}{2}\:hours}\)

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

\(5\frac{1}{4} - 3\frac{3}{4}\)

\(\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}\)

\(5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}\)

\(\frac{21}{4} - \frac{15}{4}\)

\(\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}\)

\(\frac{21}{4} - \frac{15}{4}\\\\21-15=6\)

\(\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}\)

Answer: Point z is the best answer

When we add or subtract fractions, we always have to make sure that all the fractions involved have a common denominator.

We're given:

To find the fraction representing the remaining time, subtract \(\dfrac{1}{6}\) from \(\dfrac{2}{3}\):

\(\dfrac{2}{3}-\dfrac{1}{6}\)

⇒ Make both denominators the same; multiply \(\dfrac{2}{3}\) by \(\dfrac{2}{2}\) to change its denominator to 6:

\(= \dfrac{4}{6}-\dfrac{1}{6}\\\\= \dfrac{3}{6}\)

⇒ Simplify the fraction:

\(= \dfrac{1}{2}\)

Therefore, \(\dfrac{1}{2}\) the hour remained.

\(\dfrac{1}{2}\) the hour remained

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

Step-by-step explanation:

THE DARK IS GONNA BE RIGHT OVER LEWFT TO PLAY THE Gme