help with question 24 please

5 minus a number is less than -9: 5 - x < -9.

The product of 2 and a number is a minimum of 34: 2x ≥ 34.

Answer:

2.    [tex]2n\geq 34[/tex]

3.    [tex]5-n < -9[/tex]

Step-by-step explanation:

The product of 2 numbers is multiplication.

"a minimum of" is greater than or equal to.

A number minus a number is subtraction.

2.

"The product of 2 and a number" can be written as [tex]2n[/tex].

"a minimum of 34" can be written as [tex]\geq 34[/tex]

So all together

[tex]2n\geq 34[/tex]

3.

"5 minus a number" can be written as [tex]5-n[/tex]

"less than -9" can be written as [tex]< -9[/tex]

So all together

[tex]5-n < -9[/tex]

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The constant of proportionality is 180.

The correct answer is C. (1, 5) is the ordered pair which is the solution to the system of equations.

A group of two or more equations with the same variables is referred to as a system of equations. The set of values for the variables that make all of the equations in a system of equations true is known as the solution.

The solution to the systems of equations is x = 1 and y = 5.

To solve this system of equations, we can begin by subtracting the two equations to get y - y = -x + 6 - (x + 4).

Simplifying, we get -2x = 2.

Then, dividing both sides of the equation by -2, we get x = -1.

We can now substitute the value of x into either one of the original equations to find the value of y.

If we substitute x = -1 into the first equation, we get y = -1 + 4, which simplifies to y = 3.

Therefore, the solution for this system of equations is x = -1 and y = 3.

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The average rate of change of the function over the interval [2,3] will be around 3.

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

For example to draw the equation y = 3x +2 this will draw a straight line in the coordinate geometry.

The rate of change is given by dy/dx

The average rate of change can be given as:

= (difference in y coordinate)/(difference in x coordinate)

= Δy/Δx

Average rate of change = ( 11 - 8 )/(3 - 2 )

                                        = 3

Hence, the average rate of change is 3

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The cost of spending the fencing around will be $1312.5.

The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be the sum of all the sides of the rectangle.

Given that the graph of rectangle ABCD depicts Kenny's intentions for erecting a safety fence to surround a construction site. The units on the graph each correspond to 25 ft.

Kenny decides to construct a fence that encloses a wider region after carefully reviewing the drawings. Given that fencing costs $5.25 per foot and Kenny enlarges rectangle ABCD by a scale factor of 2.5

Perimeter = 4 x side x scale factor

Perimeter = 4 x 25 x 2.5

Perimeter = 250 feet.

The cost of fencing will be,

Cost = 250 x $5.25

Cost = $1312.5

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A residual plot that shows clear patterns or trends in the residuals suggests that the line of best fit is not a good model.

Here are some characteristics of a residual plot that suggest that the line of best fit is a poor model,

The residuals show a clear pattern or trend, such as a curve or a U-shape.

The residuals are not evenly distributed above and below zero.

There are one or more outliers or extreme values that stand out from the rest of the data.

The variability of the residuals changes across the range of the predictor variable.

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Answer:

v=11

Step-by-step explanation:

Combined like terms and then divide at the end

Answer: V=11

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

Given that the length, width, and height of the rectangular prism are,

The volume of the rectangular prism will be calculated as,

Volume = Length x width x Height

Volume = (4x - 3)(x + 1)( x+2) cubic feet

Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.

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The set of parametric equations are

[tex]x=\sqrt{t}[/tex]

[tex]y=\sqrt{3+t[/tex]

A parametric equation uses a parameter, which is an independent variable (often represented by the notation t), and dependent variables, which are expressed as continuous functions of the parameter and are independent of other variables.

Using one or more independent variables known as parameters, a parametric equation defines a set of quantities as functions.

Given the equation:

[tex]x= \sqrt[]{y^{2}-3 }[/tex]

Let's find a set of parametric equation for the given equation given the parameter:

[tex]x = \sqrt{t}[/tex]

From the parameter:

[tex]x = \sqrt{t}[/tex]

Now, substitute [tex]\sqrt{t}[/tex] for x in the given equation:

[tex]x=\sqrt{y^2-3} \\\\\sqrt{t} = \sqrt{y^2 - 3} \\\\t=y^2-3\\\\y^2=3+t\\\\y=\sqrt{3+t}[/tex]

Therefore, the set of parametric equations is:

• [tex]x=\sqrt{t}[/tex]

• [tex]y=\sqrt{3+t}[/tex]

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As a rule of thumb, altitude corrections of less than 100 feet for determining the pressure at a given altitude should be corrected using the standard pressure-altitude correction tables.

These tables provide the correction factor for the difference between the actual and standard atmospheric pressure at a given altitude. The correction factor can then be applied to the standard pressure value to obtain the actual pressure value at that altitude. Note that the standard atmospheric pressure is defined as 29.92 inches of mercury (in Hg) at sea level. The pressure decreases with increasing altitude in the lower atmosphere. The pressure-altitude correction tables provide a convenient and accurate way of determining the atmospheric pressure at different altitudes.

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The following measures of typical value in a data set would be affected by the error:

Mean: The mean is the sum of all the values divided by the number of values. If one value is significantly different from the rest, it can significantly affect the mean. In this case, the mean would be affected because the value of 5 is much lower than the other values in the data set, which would cause the mean to be lower than it should be.

Median: The median is the middle value in a data set. If the error is low enough, it may not affect the median, but if it is low enough to move the value of 5 to the middle of the data set, the median would be affected.

In conclusion, the mean and median of this data set would be affected by the error of recording the value of 75 as 5.

The mode, mean and median of this data set would be affected by the error of recording the value of 75 as 5.

Given that, a data set represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 suppose that the last value, 75, was mistakenly recorded as 5.

so, here, due to mistake the mode, mean and the median will be affected.

Adding a data point to the set, or taking one away, can affect the mean, median, and mode.

If we add a data point that's above the mean, or take away a data point that's below the mean, then the mean will increase.

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Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: 18.84

Step-by-step explanation:

because the radius is 3, the diameter is 6. And the circumference is C=pi(d).In this case, C=3.14(6), and 3.14*6=18.84

The shapes with the same areas are (c) A and B

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Figures A, B and C

For the figures A, B and C to have the same area, the number of boxes on the shapes must be the same

Using the above as a guide, we have the following:

By comparison, we have

A and B = 16 square units

Hence, the shapes A and B have the same area

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Part (a)

The LCM of 2 and 3 is 2*3 = 6.

Lars and Rita's schedule aligns every 6 days.

These two went swimming together on June 1st.

6 days later would be June 7th, which is when they swim together again. See the chart in part (d) below.

======================================================

Part (b)

LCM = 3*5 = 15

Add 15 days to the first of June to get 1+15 = 16. See the chart in part (d) below.

======================================================

Part (c)

The LCM of 2, 3, and 5 is 2*3*5 = 30

The trio will swim together every 30 days.

Since there are 7 days in a week, divide 30 over 7 and find the remainder.

30/7 = 4 remainder 2

We don't care about the quotient. All we focus on is the remainder.

A remainder of 2 means that we move 2 days ahead of Friday to land on Sunday. You can use a calendar to confirm that adding 30 days to the starting Friday will get you to Sunday. It doesn't matter what month you are in, so it could be June or any month really.

======================================================

Part (d)

Here's a chart when all three go swimming:

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Lars} & \text{Rita} & \text{Alan}\\\cline{1-3}1 & 1 & 1\\\cline{1-3}3 & 4 & 6\\\cline{1-3}5 & 7 & 11\\\cline{1-3}7 & 10 & 16\\\cline{1-3}9 & 13 & 21\\\cline{1-3}11 & 16 & 26\\\cline{1-3}13 & 19 & 31\\\cline{1-3}15 & 22 & 36\\\cline{1-3}\end{array}[/tex]

Each number refers to a day number in June, with exception to the 36 for Alan. Treat that "36" as 36-30 = 6 days beyond the end of June (aka July 6th).

Each person starts at 1. Lars will involve adding 2 to each item. Rita has +3 to each item. Alan has +5 to each item. That chart shows "15" only in the Lars column.

Answer:

W when c = 4 is 0.128.

Step-by-step explanation:

The relationship between A, C and W can be represented by the following equations:

A = k√c

W = m/a^3

Where k and m are constant of proportionality.

Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:

k = 35/√49 = 35/7

Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:

m = 16 * 2^3 = 128

Now we have both k and m, we can find the value of W when c = 4.

A = k * √c = 35/7 * √4 = 10

W = m/a^3 = 128/10^3 = 0.128

So, the value of W when c = 4 is 0.128.

Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St.

(a) Constraints:

The flow into and out of Jones St. is equal to the total flow into and out of Salisbury St. and Edenton St.

The flow into and out of McDowell St. is equal to the total flow into and out of Salisbury St. and Edenton St.

The flow into and out of Salisbury St. is equal to the sum of the flow into and out of Jones St. and McDowell St.

The total flow into and out of each street must be greater than or equal to 0.

Let x, y, z, and w be the traffic flow in cars per hour along Jones St., Salisbury St., Edenton St., and McDowell St., respectively. Then the system of linear equations that models this scenario is:

x - y - z = 0

w - y - z = 0

y + z - x - w = 0

x, y, z, w ≥ 0

(b) Augmented matrix representation:

[1 -1 -1 0 | 0]

[0 -1 -1 1 | 0]

[1 -1 1 -1 | 0]

[1 0 0 0 | 0]

Gauss-Jordan reduction:

[1 0 0 0 | 0]

[0 1 0 0 | 0]

[0 0 1 0 | 0]

[0 0 0 0 | 0]

The final augmented matrix is shown above. The solution to the system is x = 0, y = 0, z = 0, and w = 0.

(c) If the city were to close one of these 4 roads, then the traffic would have to be rerouted. Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St. Therefore, the city should close Salisbury St.

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Answer:

24

Step-by-step explanation:

If we convert this problem into "math language", it's basically asking what is 8 divided by 1/3? So, we set this up: [tex]\frac{8}{\frac{1}{3} }[/tex] = 8 * 3 = 24

Answer:

16

Step-by-step explanation:

20/5 = 12/3 = x/4

x/4 = 4

x = (4)(4) = 16

Answer:16

Step-by-step explanation:multiply 4 by 4

Answer: 22k

Step-by-step explanation:

The solution to the equation is k = 2/9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

3 ( 2k + 3 ) = 6 - ( 3k - 5 )   be equation (1)

On simplifying , we get

3 ( 2k ) + 9 = 6 - 3k + 5

6k + 9 = 11 - 3k

Adding 3k on both sides , we get

9k + 9 = 11

Subtracting 9 on both sides , we get

9k = 2

Divide by 9 on both sides , we get

k = 2/9

Therefore , the value of k is 2/9

Hence , the solution is k = 2/9

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The segments' lengths and the angles' measurements are FE = 11,  CF = 10,  d = 54, and e = 126

As this is a parallelogram c = e

so 9y = 7y + 28

9y - 7y = 28

2y = 28

y = 14

So e would be 7(14) + 28

= 98 + 28

= 126.

And as d + e = 180, d = 180 - 126

d = 54

And as CF = DE

2x = x + 5

2x - x = 5

x = 5

CF = 2x

= 2(5)

= 10

And lastly CD = FE

CD = 3x - 4

CD = 3(5) - 4

= 15 - 4

= 11

FE = 11

So the answers are:

FE = 11,  CF = 10,  d = 54, and e = 126

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The equations that are true for the values of x, y and z are :

The equations can be found based on the relationships between the variables as angles.

x and z are opposite each other which makes them congruent angles which means that they are the same value.

y and 65 degrees are also opposite each other which makes them congruent.

x and 65 degrees are on a straight line and so will add up to 180 degrees which is why the correct equation would be :

x degrees + 65 degrees = 180 degrees

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Options include:

Answer:

=q > - 1

Step-by-step explanation:

8q > - 8

= 8q/8 > -8/8

=q > - 1.

the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.

The unit rate in inches per hour can be found by dividing the amount of rain falling per unit of time by the corresponding unit of time. In this case, we have 4/5 inches falling every 2/3 hours, so we can find the unit rate by dividing 4/5 by 2/3:

(4/5) / (2/3) = (4/5) X (3/2) = 6/5 inches per hour

So the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.

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The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.

A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.

However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.

In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.

However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.

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The scale factor is 3/2. The length of XY is 18.

What are similar Quadrilaterals?

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.

If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.

Given that Quadrilateral ABCD is similar to  Quadrilateral WXYZ.

Thus

AB/WX = BC/XY = CD/YZ = AD/WZ  ....(i)

The length of AB = 15, BC= 27, WX= 10

The scale factor is

AB/WX = BC/XY = CD/YZ = AD/WZ

= 15/10

= 3/2   [Divide the denominator and numerator by 5]

Take first two ratios of (i):

AB/WX = BC/XY

15/10 = 27/XY

3/2 = 27/XY
XY = 27 × (2/3)

XY = 18

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Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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Answer:

  7 feet

Step-by-step explanation:

You want the height of a 6' by 12' cuboid box that has a total surface area of 396 square feet.

The formula for the surface area of a cuboid is ...

  SA = 2(LW +H(L+W))

For the given box, this is ...

  396 = 2(6·12 +H(6+12))

  198 = 72 +18H . . . . . . . . . . divide by 2

  126 = 18H . . . . . . . . . . . subtract 72

  7 = H . . . . . . . . . . . . divide by 18

The height of the box is 7 feet.

The unshaded area is 11.5 times bigger than the shaded area.

The area of the circle is given by:

A_circle = πr^2

where;

n this case, r = 10 cm, so:

A_circle = π(10 cm)^2 = 100π cm^2

The area of the semicircle is given by:

A_semicircle = (1/2)πr^2

where;

In this case, the diameter of the semicircle is 8 cm, so the radius is 4 cm:

A_semicircle = (1/2)π(4 cm)^2 = 8π cm^2

To find the area of the shaded region, we need to subtract the area of the semicircle from the area of the circle:

A_shaded = A_circle - A_semicircle

= 100π cm^2 - 8π cm^2

= 92π cm^2

The unshaded area is the area of the circle minus the area of the shaded region:

A_unshaded = A_circle - A_shaded

= 100π cm^2 - 92π cm^2

= 8π cm^2

So the unshaded area is 8π cm^2 and the shaded area is 92π cm^2.

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To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.

The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.

For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.

To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.

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Answer: 1024

Step-by-step explanation:

2 x 2 is 4

4 x 2 is 8

8 x 2 is 16

16 x 2 is 32

32 x 2 is 64

64 x 2 is 128

128 x 2 is 256

256 x 2 is 512

512 x 2 is 1024