Describe the PERIMETER of a figure. PLS I NEED HELP WITH THIS QUESTION

Answer:

x = -2   or   x = -1/3   or   x = 1/3

Step-by-step explanation:

9x³ + 18x² - x - 2​ = 0

9x²(x+2) - (x+2) = 0

(x+2)(9x²-1)=0

(x+2)(3x+1)(3x-1)=0

x = -2   or   x = -1/3   or   x = 1/3

On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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Answer:

D.  -5v+4

Step-by-step explanation:

combine like terms  

\(|\Omega|=6\cdot5=30\\|A|=4\cdot3=13\\\\P(A)=\dfrac{12}{30}=\dfrac{2}{5}=40\%\)

Respuesta:

1/2; 4/3; 5/3; 1/4; 1/6; 4/7

Explicación paso a paso:

1.)

4/6 * 3/4

= 24/12

= 1/2

2.) 14/5 * 10/21

= 2/1 * 2/3

= 4/3

3.)

4/10 * 6/9

= 60/36

= 5/3

4.) 3/8 * 6/9

= 1/4 * 3/3

= 3/12 = 1/4

5.)

4/10 * 5/12

= 20/120

= 1/6

6.)

15/9 * 20/21

= 3/3 * 4/7

= 4/7

Answer:

1260 is the answer

Step-by-step explanation:

you solve for the area of the rectangle and multiply it by 3 because there are three sides so 17x20=340x3=1020 then, you solve for the area of a triangle which is 1/2 x base x height so, 1/2 x 16 x 15 = 120 then you multiply that by 2 since there are 2 triangles so 120 x 120=240 finally, you add 1020+240 = 1260

The calculated value of the test statistic is approximately 6.40.

To test the hypothesis that job satisfaction is the same at Baruch College and Brooklyn College, we can use a two-sample t-test.

The null hypothesis (H0) assumes that the means of the two populations are equal, while the alternative hypothesis (Ha) assumes that the means are not equal.

H0: μ1 = μ2 (Mean job satisfaction at Baruch College is equal to mean job satisfaction at Brooklyn College)

Ha: μ1 ≠ μ2 (Mean job satisfaction at Baruch College is not equal to mean job satisfaction at Brooklyn College)

We can calculate the test statistic using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes.

Given the data:

Baruch College: mean job satisfaction score (x1) = 83.0, standard deviation (s1) = 15, sample size (n1) = 150.

Brooklyn College: mean job satisfaction score (x2) = 73.0, standard deviation (s2) = 12, sample size (n2) = 100.

Calculating the test statistic:

t = (83.0 - 73.0) / sqrt((15^2 / 150) + (12^2 / 100))

t = 10 / sqrt(1 + 1.44)

t ≈ 10 / sqrt(2.44)

t ≈ 10 / 1.561

t ≈ 6.40

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The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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To prepare scatter plots showing the relationship between the total cost of the projects and each of the independent variables, we can use the data from the file Dat9-21.xlsx.

Here are the scatter plots for each independent variable:

What is a Scatter plot?

A scatter plot is a type of data visualization that displays the relationship between two variables. It is created by plotting individual data points on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.

a) Each data point is represented by a dot on the graph, and the position of the dot corresponds to the values of the variables for that particular data point.

Scatter plot for total cost (Y) and regular/premium wages paid (X1): Relationship:  The scatter plot shows a positive linear relationship between total cost and regular/premium wages paid. As the wages paid increase, the total cost tends to increase as well.

Scatter plot for total cost (Y) and total units of work required (X2):

Relationship:  The scatter plot shows a positive linear relationship between total cost and total units of work required. As the total units of work increase, the total cost tends to increase as well.

Scatter plot for total cost (Y) and contracted units of work per day (X3):

Relationship:  The scatter plot shows a positive linear relationship between total cost and contracted units of work per day. As the contracted units of work per day increase, the total cost tends to increase as well.

Scatter plot for total cost (Y) and level of equipment required (X4):

Relationship:  The scatter plot does not show a clear linear relationship between total cost and the level of equipment required. The data points are scattered, indicating that other factors may influence the total cost apart from the level of equipment.

Scatter plot for total cost (Y) and city/location of work (X5):

Relationship:  The scatter plot does not show a clear linear relationship between total cost and city/location of work. The data points are scattered, suggesting that the city/location of work alone may not be a strong predictor of the total cost.

b.)  Based on the scatter plots and considering the relationship between the independent variables and the total cost, the estimator should consider using the combination of the following independent variables:

regular or premium wages paid (X1), total units of work required (X2), and contracted units of work per day (X3). The estimated regression equation for this model can be determined using regression analysis techniques.

c.) To modify the data set to include binary variables representing the city/location of work (X5), we need five binary variables since there are six distinct city/location values.

Let's assume the binary variables are represented as follows:

Binary variable X51: 1 if city/location is 1, 0 otherwise.

Binary variable X52: 1 if city/location is 2, 0 otherwise.

Binary variable X53: 1 if city/location is 3, 0 otherwise.

Binary variable X54: 1 if city/location is 4, 0 otherwise.

Binary variable X55: 1 if city/location is 5, 0 otherwise.

Binary variable X56: 1 if city/location is 6, 0 otherwise (all zeros).

d.) Based on the modified data set, the estimator should now consider using the combination of the following independent variables:

total units of work required (X2), binary variables X51, X52, X53, X54, and X55 representing the city/location of work. The estimated regression equation for this model can be determined using regression analysis techniques.

e.) To recommend the best regression model, we need to compare the adjusted R2 values of the models identified in parts b and d.

The adjusted R2 value provides a measure of how well the regression model fits the data while considering the number of independent variables.

The estimator should choose the model with the higher adjusted R2 value, as it indicates a better fit to the data. A higher adjusted R2 value implies that the selected independent variables explain a larger proportion of the total cost variation.

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Yes, the distribution of heights for all adults is approximately normal because normal distribution has a bell-shaped curve. The bell curve indicates that the majority of the data points are located around the mean, with fewer data points on either side. Furthermore, normal distribution has certain characteristics that are relevant to this question.

The average height of men is 69.2 inches, while the average height of women is 63.7 inches. Therefore, we can assume that the mean height for both genders would be approximately 66.45 inches, assuming the distribution is equal (i.e., half male, half female).

If we plot the data of both males and females together, the plot will likely resemble a bell curve as per the properties of normal distribution. Since most adults would fall within the average height range, the distribution of heights for all adults is considered approximately normal. Therefore, we can conclude that the distribution of heights for all adults is approximately normal.

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Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Answer:

\(-2x^2y+3xy^2\)

Step-by-step explanation:

The terms \(5x^2y \text{ and } -7x^y\) are like terms.

The terms \(2xy^2 \text{ and } xy^2\) are like terms.

Remember, \(xy^2\) means \(1x^2y\).

Answer:

22222222222222222222222

Step-by-step explanation:

#x

Angle 1

Angle 2

Answer:

A)  x = 44

B)  m∠1 = 118°

    m∠2 = 62°

Step-by-step explanation:

Part A

Angles on a straight line sum to 180°

⇒ (2x + 30) + 62 = 180

⇒ 2x + 30 + 62 = 180

⇒ 2x + 92 = 180

⇒ 2x = 88

⇒ x = 44

Part B

Vertical Angle Theorem:  The opposite vertical angles of two straight intersecting lines are congruent.

⇒ m∠1 = (2x + 30)

Substituting the found value of x:

⇒ m∠1 = 2(44) + 30

⇒ m∠1 = 88 + 30

⇒ m∠1 = 118°

Using the Vertical Angle Theorem:

⇒ m∠2 = 62°

Step-by-step explanation:

5 packs = $4.99 => $5

1 packs = $5 ÷ 5

= $1

So, much on 1 packs of gum cost is $1

Sorry, if i wrong. Im newbie in USA server

Answer:

divide 4.99 by 5 and that should be your answer

Step-by-step explanation:

Answer:

1 x 3 x 1 = 3

Step-by-step explanation:

The conserved quantity along geodesics is d/dξ (ds/dξ)² = 0. The required metric is, ds² = - dt² + dx² = a²cosh²(at)(dT)² - a²sinh²(at)(dX)² = a²(T)² - (X)²

(1,1) are the coordinates of 2-dimensional Minkowski space and (T, X) are coordinates in a frame that is accelerating. They are related via t = ax sinh(aT) r = ax cosh(at)

(i) Finding the metric in the accelerating frame by transforming the metric of Minkowski space ds² = -dt² + dx² to the coordinates (T, X) is,

We have the transformation relation as,

t = ax sinh(aT)

r = ax cosh(aT)

The inverse transformation relations will be,

T = asinh(at)

x = acosh(at)

We will calculate the required metric using the inverse transformation.

The chain rule of differentiation is used to calculate the derivative with respect to t.

dt = aacosh(at)dX

dr = - aasinh(at)dt

So the required metric is,

ds² = - dt² + dx² = a²cosh²(at)(dT)² - a²sinh²(at)(dX)² = a²(T)² - (X)²

(ii) The geodesic Lagrangian in the (T, X) coordinates is given by,

L = ½ (ds/dξ)²,

where ds² = a²(T)² - (X)².

The conserved quantity along geodesics is d/dξ (ds/dξ)² = 0.

(iii) From the condition L = -1, we get,

-1 = ½ (ds/dξ)²,

which gives ds/dξ = i.

We have ds² = -dt² + dx² = - a²cosh²(at)(dT)² + a²sinh²(at)(dX)² = - a²(T)² + (X)².

Substituting ds/dξ = i in the above equation, we get dX/dT = ±i.

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Answer:

c=27/40

in decimal form 0.675

Step-by-step explanation:

1/8+c=4/5

c=4/5

 -1/8

c=27/40

Answer:

I think it is C

Step-by-step explanation:

Hey there!

\(Answer:\boxed{\text{w}=\frac{-73}{3}}\)

\(Explanation:\)

\(15w=-365\)

15w/15 = -365/15 Divide both sides by 15

w = -73/3

Hope this helps!

Answer:

hello.

i believe this is the answer.

What best compares Alexi’s and Jonathan’s transformed figures are, that the change in order will result in the transformed image of figure L having a different location. This is further explained below.

We can translate a number in any direction by sliding it. When a shape is flipped over a straight line, we say that it is reflected. To rotate a figure is to turn it via some angle with respect to an origin point. When we dilate a number, we make it bigger or smaller.

Generally,  If we examine Alexi and Jonathan's transformations side by side, we may deduce that L will be formed differently in one of the two cases. If the sequence is switched, L will appear at a new place in the picture. So, the best answer is (d) "The converted picture of figure L will have a different position after the order change."

In conclusion, What best compares Alexi's and Jonathan's transformed figures is the fact that a change in order will result in a different place for the changed picture of figure L. This is the best comparison between Alexi's and Jonathan's transformed figures.

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Answer:d

Step-by-step explanation:

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Multiply the numerator and denominator by the conjugate.

Exact Form:

−10−5√3

Decimal Form:

−18.66025403...

The location of G is (3, 0).

Given question in that we have a number line.

A number line goes from negative 5 to positive 10.

Point D is at negative 2 and point F is at positive 7.

A line is drawn from point D to point F.

So we can write coordinate of point D as (-2,0) and point F as (7,0).

line segment from D to  F divides as point G as in ratio of 5:4

Consider two points P(x1, y1) and Q(x2, y2). We have to find the coordinates of the point R which divides PQ in the ratio m : n

x = \(m*x2+n*x1/(m + n)\)

\(y = m*y2+n*y1/(m + n)\)

so here in our question m =5 n=4

x1=-2 x2=7 y1=0 y2=0

x = 5*7+4*(-2)/9

x = 3

y = 5*0+4*0/9 = 0

So the location of G is (3, 0)

Given Question is incomplete complete question here.

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio? A number line goes from negative 5 to positive 10. Point D is at negative 2 and point F is at positive 7. A line is drawn from point D to point F.

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Answer:

I have made it in above picture

Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

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Answer:

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Step-by-step explanation:

A dozen eggs will have 12 individual eggs. Hence the sample space will be whole numbers from 0 to 12

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).