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The domain of the function is the set of values of x for which the function is true.

The range of the function is the set of values of y for which the function is true.

For the function in the graph:

The domain (marked with a yellow line) are all values of x between -2 and 2, note that the endpoints of the horizontal parabola are marked with blank dots, this means that the value x=-2 is not included in the domain, you can express the domain as follows:

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:

Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026

The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.

To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.

The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

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Answer:

\(P_{B}\) = 80

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b

then ratio of perimeters is also a : b

here ratio of sides = 24 : 15 = 8 : 5

the ratio of perimeters is also 8 : 5

then by proportion

\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is

\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )

8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )

\(P_{B}\) = 80

Answer:

542.592

Step-by-step explanation:

3.14 x 8 squared + 3.14 x 8 x 13.6

Let:

The slope m of the line is:

Using the point-slope equation:

Solve for y:

Answer:

36 cm

Step-by-step explanation:

Answer:

y = 7 is the desired equation

Step-by-step explanation:

If the line is horizontal, then its slope is zero (0).  If this horizontal line passes through (4, 7), then y = 7 is the desired equation.

Answer:

um sorry if I'm wrong....C?

Step-by-step explanation:

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

1.5 meters per second

Step-by-step explanation:

30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:

30/20 = 1.5

Answer: 1.5 meters

Step-by-step explanation:

To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...

30 meters     ÷ 20               1.5 meters

--------------                    =       -----------------

20 seconds   ÷   20              1 second

This is a fancy was of saying 1.5 meters per 1 second.

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

x = -9

Step-by-step explanation:

let the number = x

                                So  x ÷ -3 = x + 12

Mulitply both sides by -3:    x = -3x -36

Add 3x to both sides:        4x = -36

Divide both sides by 4:        x = -9

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Answer: 121.9

Step-by-step explanation:

2.54 × 48 is 121.92

Answer: 121.9

Step-by-step explanation: 48×2.54=121.

Answer:

a. False.

b. False.

Step-by-step explanation:

Statement a:

The median salary is $27,200 and the 57th percentile is $30,400.

Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.

b. The percentile rank of $25,400 is 50.

The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.

Answer:

Its 639 if that dosent help contact me ill help guadianeany time.

Step-by-step explanation:

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)

\(\begin{array}{ccll} batches&cups\\ \cline{1-2} 1&\frac{1}{2}\\[1em] x&2 \end{array}\implies \cfrac{1}{x}=\cfrac{~~\frac{1}{2} ~~}{2}\implies \cfrac{1}{x}=\cfrac{~~\frac{1}{2} ~~}{\frac{2}{1}}\implies \cfrac{1}{x}=\cfrac{1}{2}\cdot \cfrac{1}{2} \\\\\\ \cfrac{1}{x}=\cfrac{1}{4}\implies 4=x\)

Answer:

w = 6

Step-by-step explanation:

w = width

L = length = 2w

wL = A

w(2w) = A

2w² = 72

w² = 36

w = 6

l = 2(6) = 12

The payoff balance of this car loan after 4 years using the given APR is; $22,169.73

The payoff balance after 4 years can be calculated from the formula:

Payoff balance = P * (1 + APR/n)^(nt) - [(P * (1 + APR/n)^(nt) * (APR/n)) / (1 + APR/n - 1)]

Where:

P is the Principal which is the loan amount = $28,550.

APR is the annual percentage rate = 8%

n is the number of times per year that interest is compounded = 12 for monthly compounding.

t is the number of years for which the loan is taken = 4 years

Plugging in the values, we get:

Payoff balance = $28,550 * (1 + 0.08/12)^(124) - [($28,550 * (1 + 0.08/12)^(124) * (0.08/12)) / (1 + 0.08/12 - 1)]

Payoff balance = $28,550 * 1.006669^48 - [$28,550 * 1.006669^48 * 0.006669] / 0.006669

Payoff balance = $22,169.73

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Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The equation of the circle that is internally tangent to the given circle; (x - 2) ² + (y + 10)² = 6²

(h₁, k₁) -Dimensionless coordinates of the first circle's center.

(h₂, k₂) - Dimensionless coordinates for the center of a second circle.

Furthermore, circles are represented in standard form by the following equation:

(x - h) ² + (y - k)² = r² .......(Eq. 2)

r is the radius of the circle.

The following information about the two circles is known from the statement:

The first circle; (x - 2) ² + (y + 6)² = 100

The second circle; points  (2,-10).

(x - 2) ² + (y + 10)² = r₂²

If we know C1 (2, -6)and C2 =  (2,-10), the distance between the centers is:

d = √(2 - 2)² + (- 10 + 6)²

d = 4

The radius of a second circle is then:

d = 4, r₁ = 10

r₂ = 10 - 4

r₂ = 6

As a result, the equation of the circle that is internally tangent to the given circle; (x - 2) ² + (y + 10)² = 6².

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Answer:

Anna is correct.

Step-by-step explanation:

Using PEMDAS, you need to add the terms in the parentheses first.

After adding, you get 8×6 = 48

Jojo made the mistake of multiplying 6 and 5 first, and then adding 3.

the new coordinates of the triangle MNP will be  M'(4, -2), and N' (8, -6). P'(2, -6).

Horizontal translation: g(x)=f(x+c).

The graph is translated c units to the left if c>0 and c units to the right if c<0. Vertical translation: g(x)=f(x)+k.

The graph is translated k units upward if k>0 and k units downward if k<0.

Given, Graph the image of ΔMNP after a dilation with a scale factor of 1/2 centered at the origin.

The origin (0, 0) is the center of dilation in the coordinate plane.

Given, MNP is a triangle in the coordinate plane. The points in the coordinate planes are M(4, -2), N (8, -6). P(2, -6)

If the scale factor is 1/2, then every coordinate point of the original triangle is multiplied by the scale factor 1/2.

Therefore, the dilated triangle will be A’B’C’ and the coordinate points obtained are  M(2, -1), N (4, -3). P(1, -3)

Dilation with scale factor 2, then multiply by 2.

(x, y) → (2x, 2y)

Therefore, the new coordinates of the triangle MNP will be  M'(4, -2), and N' (8, -6). P'(2, -6).

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Answer:

If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days

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Answer:

Step-by-step explanation:

3a – 2b = 2

3a = 2b + 2

 a = ⅔b + ⅔

            2a + 3b = 23

2(⅔b + ⅔) + 3b = 23

       \(\frac{4}{3}b\) + \(\frac{4}{3} + 3b = 23\)

                   \(\frac{13}{3}b = \frac{65}{3}\)

                      \(b = \frac{65}{13}\)

                      b = 5

a = ⅔(5) + ⅔

a = 4