In a volatile housing market, the overall value of a home can be modeled by V(x)=325x^2-4600x+145000, where v represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home.

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A fully closed polygon is a flat, two-dimensional form with straight sides. They must have straight sides. Any number of sides can be found in polygons.

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Answer:

B. 50

Step-by-step explanation:

Let x be the number of coupons sent to existing members.

The number of coupons sent to potential members is 4 times the number of coupons sent to existing members, or 4x.

The total number of coupons sent is the sum of the number of coupons sent to existing members and the number of coupons sent to potential members, or x + 4x = 5x.

The club sent out 250 coupons, so 5x = 250.

Dividing both sides of the equation by 5, you get x = 250 / 5 = 50.

Therefore, the club sent 50 coupons to existing members.

The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

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first add or subtract the percentage from 100 ,then convert to a decimal.

What is a simple definition of the multiplier?

It is the number of times a rise in national income exceeds the rise in injections of demand that caused it.

What is the multiplier process?

The multiplier effect comes about because injections of new demand for goods and services into the circular flow of income stimulate further rounds of spending – in other words “one person’s spending is another’s income”

This can lead to a bigger eventual final effect on output and employment.

plz mark me as a brainliest answer!

question is equaled to 180 degrees

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Answer:

55.27

Step-by-step explanation:

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

Answer:

B) 7 apple pies for 24.50

Step-by-step explanation:

11/3=3.66666666666...

24.50/7=3.5

3.5 is less than 3.66666666...

so B is a better buy.

Can I have brainliest!

Answer:

-1/2

Step-by-step explanation:

The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way

Answer:

C Hope this helps This may be wrong though

Step-by-step explanation:

The value of in quadrant 3 is 4/3.

The value of is determined by the trigonometric ratios in quadrant 3. In this quadrant, the x-coordinate is negative and the y-coordinate is negative. Therefore, we can use the tangent ratio to find the value of . The tangent ratio is defined as the ratio of the opposite side (y-coordinate) to the adjacent side (x-coordinate).

Let's assume that the point (x, y) is (-3, -4). To find , we can use the tangent ratio:

= tangent

= opposite/adjacent

= y/x

= (-4)/(-3)

= 4/3

Therefore, the value of in quadrant 3 is 4/3.

It's important to note that this value is positive because the tangent function is positive in quadrant 3.

In summary, when x is in quadrant 3, the value of can be found using the tangent ratio, which is the ratio of the y-coordinate to the x-coordinate. In this case, the value of is 4/3.

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Answer:

9

Step-by-step explanation:

\( \frac{ - 3(16 - 35 + 4)}{5} \\ \\ = \frac{ - 3(20 - 35 )}{5} \\ \\ = \frac{ - 3( - 15 )}{5} \\ \\ = \frac{45}{5} \\ \\ = 9\)

Answer:

Step-by-step explanation:

Answer:

$6.25

Step-by-step explanation:

Answer:

3/1 ; 0/3 ; -191/32 ; 3/456

Step-by-step explanation:

We have to find all the numbers that are expressed with a fraction:

1) is a trap because the division is impossibile

2) true: 3/1 is a fraction

3) true: 0/3 is a possible division and it results 0

4) true: is a fraction

5) true: is a fraction

The following logarithm expressions are,

(a) \(ln e^{-11}\) = -11

(b) \(e^{ln5}\) = 5

(c) \(e^{ln\sqrt{2} }\) = 1.414

(d) \(ln^{\frac{1}{e^{4} } }\) = -4

It is important to remember the following logarithm properties in order to solve the exercise:

\(ln(a) + ln(b) = ln(ab)\)

\(ln(a) -ln(b) = ln(\frac{a}{b} )\)

\(ln(a^{m})= m ln(a)\)

\(ln(e)=1\)

Given data,

(a) \ln e ^ { -11 }

\(ln e^{-11}\) = \(ln_{e} ^{e^{-11} }\)

\(ln e^{-11}\) = -11

(b) e ^ {\ln 5 }

\(e^{ln5}\) = 5

(c) e ^ {\ln \sqrt { 2 } }

\(e^{ln\sqrt{2} }\) = \(\sqrt{2}\)

\(e^{ln\sqrt{2} }\) = 1.414

(d) \ln ( 1/e^ { 4} )

\(ln^{\frac{1}{e^{4} } }\) = \(elne^{-4}\)

\(ln^{\frac{1}{e^{4} } }\) = -4

Therefore,

The following logarithm expressions are,

(a) \(ln e^{-11}\) = -11

(b) \(e^{ln5}\) = 5

(c) \(e^{ln\sqrt{2} }\) = 1.414

(d) \(ln^{\frac{1}{e^{4} } }\) = -4

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Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

Answer:

last 3 are right

Step-by-step explanation:

Answer:

Answer option 2, 3 and 4.

Answer:

First number: 6

Second number: 16

Third number: 32

Step-by-step explanation:

x + y + z = 54

z = 2y

y = x + 10

Now you can substitute y = x + 10 into z = 2y

The equation becomes z = 2x + 20

Now plug it into the main equation.

x + x + 10 + 2x + 20 = 54

4x + 30 = 54

4x = 24

x = 6

y = 16

z = 32

The percentage of $898.01 billion that is spent on $161.4 billion​ is equal to 17.97%.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the percentage, we would use the following mathematical expression:

Percentage = 161.4/898.01 × 100

Percentage = 0.1797 × 100  

Percentage = 17.97%

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Answer:

Rita's down payment is $3000 and she borrowed $12000.

Step-by-step explanation:

The cost of the car is $15000.

Given that she paid 20% down and borrowed the remainder.

So, Rita's down payment= 20% of $15000

\(=\frac{20}{100}\times 15000\)

= $3000

As she borrowed the remainder cost, so,

the borrowed amount = 15000-3000

= $12000

Hence, Rita's down payment is $3000 and she borrowed $12000.

Answer:

Wikipedia says:

"In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles)."

https://en.wikipedia.org/wiki/Square

Step-by-step explanation:

To find the means, variances, covariance, and correlation coefficient of random variables X and Y with a joint PMF:

- Calculate the means: E[X] and E[Y].

- Compute the variances: Var(X) and Var(Y).

- Find the covariance: Cov(X, Y).

- Determine the correlation coefficient: ρ(X, Y).

Based on the covariance, we can determine if X and Y are independent or dependent.

Let the random variables X and Y have a joint probability mass function (PMF). We need to find the means (expected values), variances, covariance, and correlation coefficient of X and Y, and determine whether they are independent or dependent.

The mean of a random variable X is denoted by E[X] or μX, and it is calculated as the sum of all possible values of X weighted by their respective probabilities. Similarly, the variance of X, denoted by Var(X) or σ²X, measures the spread or dispersion of the values of X around its mean.

The covariance between two random variables X and Y, denoted by Cov(X, Y), measures the degree to which they vary together. It is calculated as the sum of the products of the differences of the values of X and its mean, and the differences of the values of Y and its mean, weighted by their joint probabilities.

The correlation coefficient between X and Y, denoted by ρ(X, Y), quantifies the strength and direction of the linear relationship between them. It is calculated by dividing the covariance of X and Y by the product of their standard deviations.

To determine the means and variances, we can use the following formulas:

E[X] = ∑x∑y x * P(X = x, Y = y)

E[Y] = ∑x∑y y * P(X = x, Y = y)

Var(X) = E[X²] - (E[X])²

Var(Y) = E[Y²] - (E[Y])²

To calculate the covariance, we use the formula:

Cov(X, Y) = E[XY] - E[X]E[Y]

Once we have the means and variances, we can calculate the correlation coefficient using the formula:

ρ(X, Y) = Cov(X, Y) / (√Var(X) * √Var(Y))

Based on the calculations of means, variances, covariance, and correlation coefficient, we can determine whether X and Y are independent or dependent. If the covariance is zero (Cov(X, Y) = 0), then X and Y are independent. Otherwise, they are dependent.

In summary, to find the means, variances, covariance, and correlation coefficient of X and Y, we use the formulas mentioned above. Based on the calculated values, we can determine whether X and Y are independent or dependent.

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The conditional probabilities are as follows: P(B | C) = 0.295, P(C | B) = 0.371, P(A | B) = 0.371, P(B | A) = 0.333, P(A | C) = 0.273, and P(C | A) = 0.308. These probabilities represent the likelihood of one event occurring given that another event has already occurred.

To determine the conditional probabilities, we can use the formula:

P(X|Y) = P(X ∩ Y) / P(Y)

where X and Y are events.

1. P(B | C):

P(B | C) = P(B ∩ C) / P(C)

P(B ∩ C) = P(B n C) = 0.13

P(C) = 0.44

P(B | C) = 0.13 / 0.44 = 0.295

2. P(C | B):

P(C | B) = P(C ∩ B) / P(B)

P(C ∩ B) = P(B n C) = 0.13

P(B) = 0.35

P(C | B) = 0.13 / 0.35 = 0.371

3. P(A | B):

P(A | B) = P(A ∩ B) / P(B)

P(A ∩ B) = P(A n B) = 0.13

P(B) = 0.35

P(A | B) = 0.13 / 0.35 = 0.371

4. P(B | A):

P(B | A) = P(B ∩ A) / P(A)

P(B ∩ A) = P(A n B) = 0.13

P(A) = 0.39

P(B | A) = 0.13 / 0.39 = 0.333

5. P(A | C):

P(A | C) = P(A ∩ C) / P(C)

P(A ∩ C) = P(A n C) = 0.12

P(C) = 0.44

P(A | C) = 0.12 / 0.44 = 0.273

6. P(C | A):

P(C | A) = P(C ∩ A) / P(A)

P(C ∩ A) = P(A n C) = 0.12

P(A) = 0.39

P(C | A) = 0.12 / 0.39 = 0.308

Therefore, the conditional probabilities are:

P(B | C) = 0.295

P(C | B) = 0.371

P(A | B) = 0.371

P(B | A) = 0.333

P(A | C) = 0.273

P(C | A) = 0.308

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The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.

In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.

The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:

z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7

As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.

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Answer:

10

Step-by-step explanation:

they are actually mutiplicating by 2

so 5x2=10

Answer:

10

Step-by-step explanation:

its all times 2

3x2=6

6x2=12

7x2=14

8x2=16

5x2=10