Match each equation to the line of best fit that it models.






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The graph of the given quadratic equation is graph C.

Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:

[tex]y = a*(x - h)^2 + k[/tex]

Where a is the leading coefficient, in this case we have a = 1.

Here we have:

[tex]y = (x - 3)^2 - 25[/tex]

So the vertex is at (3, -25).

From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:

[tex]y = (-3)^2 - 25 = -16[/tex]

So this function passes through (3, -25) and (0, -16). The sketch can be seen below.

Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.

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Step-by-step explanation:

simple x×x×y×z=x^2×yz=x^2yz

Answer:

2677.4

Step-by-step explanation:

40161/15

Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

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[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]

Step-by-step explanation:

The properties used is [tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

the correct option is (A).

power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given:

[tex]4^{\frac{5}{3} } = \sqrt[3]{4^{5} }[/tex]

We can use the following property

[tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

By using the property we can find the answer.

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Answer:

270.4 miles

Step-by-step explanation:

First we will convert the 40 liter gas tank into gallons.

There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.

[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]

This means we can travel 270.4 miles on a full tank.

That is the answer

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The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.

Let's sum the decimal numbers to know the general rule,

Therefore,

3.7 + 7.3 = 11.0

6.4 + 4.6 = 11.0

9.1 + 1.9 = 11.0

5.5 + 5.5 = 11.0

Therefore, the  values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.

When you add the tenth term together we will get ten which will make the value an integer

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The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.

Formula for the confidence interval is:

CI = x' ± z(S.E)

where;

x is the mean

z is the critical value.

S.E is the standard error.

We are told that there is no difference between the population and as such; x = 0.

The confidence level is given as 95%.

z-score at 95% confidence level = 1.96.

Standard deviation of the sample mean differences is 0.69. Thus;

S.E = 0.69.

The confidence interval is:

CI = 0 ± (1.96 * 0.69)

CI = (-1.35, 1.35)

1.74 is outside of this confidence interval and as such it is statistically significant.

Complete question is;

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

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Answer:

42×12/4

=42×3

=126

........

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

Step-by-step explanation:

p + p + 7 = p + 5 + 4

2p + 7 = p + 9

2p - p = 9 - 7

p = 2

Answer:

To find the mean of a given data set, add up all the values then divide by how many numbers ...

Step-by-step explanation:

Answer:

  x = 6

Step-by-step explanation:

The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).

__

Comparing your equation to the above form, we see ...

Then the line of symmetry is ...

  x = -b/(2a) = -(-12)/(2(1)) = 6

The line of symmetry is x=6.

The scaled size of the thumbnails is 16 pixels per inch of painting

The given parameters are:

The space between adjacent images is 40 inches.

Given that there are two spaces, the remaining space is:

Remaining = 800 - 2 * 40

Remaining = 720

Given that there are three samples of image, the width of each image is:

Image = 720/3

Divide

Image = 240 pixels

The scaled size is then calculated using:

Scale = Image scale width/actual width

This gives

Scale = 240/15

Evaluate

Scale = 16

Hence, the scaled size of the thumbnails is 16 pixels per inch of painting

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Answer:

range is subtracting the highest number from the lowest number. so we want to find the difference

Step-by-step explanation:

all you do is 105-85 which is 15.

Work Shown:

tan(angle) = opposite/adjacent

tan(61) = x/9

x = 9*tan(61)

x = 16.2364298 approximately

Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.

Step-by-step explanation:

Select four types of data demographers study to make predictions.

birth rate

death rate

employment

income

marriage

migration

Answer:

x= 0.21428571428 or x=0.2

Step-by-step explanation:

-7x+7x^2=9  1. simplify 7x^2

-7x+ 7x(7x)=9   2. combine like terms

-7x+49x=9    3. combine like terms

42x=9           4. /42 on both sides

x= 0.21428571428 or x=0.2

The number of quarts of paint did mieko use in the living room is A = 3 quarts

Given data ,

Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room

Now , on simplifying the equation , we get

Two gallons of paint is equal to 8 quarts (2 x 4 = 8)

Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)

She used 3 quarts of paint on the hallway

Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway

Therefore , she used 8 - 5 = 3 quarts of paint in the living room

Hence , the number of quarts is A = 3 quarts

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The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14

x = Kendall's money

Mateo's money = $98

= 7 × x

The equation:

7 × x = 98

7x = 98

x = 98/7

x = $14

Therefore, the correct answer is option B

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The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below

If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.

If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.

If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.

For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.

Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.

Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.

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[1] n = -2

       We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"

19 decreased by four times a number is 17

19 - four times a number is 17

19 - 4 n is 17

9 - 4n = 17

-

9 - 4n = 17

- 4n = 8

n = -2

[2] x = -1, y = 3, or (-1, 3)

      I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.

2y - 2x = 8

2(2x + 5) - 2x = 8

4x + 10 - 2x = 8

2x = -2

x = -1

      Now, I will plug this value back into the equation and solve for y.

y = 2x + 5

y = 2(-1) + 5

y = -2 + 5

y = 3

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

An equation is an expression that shows the relationship between two or more variables or numbers.

From the rectangle ABCD:

AB = 6 units, BC = 8 units

Hence:

Area of ABCD = 6 units * 8 units = 48 unit²

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

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In the given diagram, the measure of angle B (m∠B) is 40°

From the question, we are to determine the measure of angle B

By the exterior angle theorem,

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Then, we can write that

m∠A + m∠B = 155° (Exterior angle theorem)

115° + m∠B = 155°

m∠B = 155° - 115°

m∠B = 40°

Hence, the measure of angle B (m∠B) is 40°

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Answer: 6.64

Step-by-step explanation:

[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]

The sum of the interior angles of a regular polygon of 12 sides is 1800°

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,

Sum of all the angles = (n-2) × 180°

Since the number of sides in the polygon is 12, the sum of the angles will be,

Sum = (12-2) × 180° = 10 × 180° = 1800°

Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.

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