What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?

To answer this question, simply plug in the values that represent the variables into the respective equations.

If z=5 and y =3, then 12z - 3y can be written as:

(12 × 5) - (3 × 3)

(60) - (9)

= 51

If z = 5, then the expression 4z -z can be written as:

(4 × 5) - 5

20-5

= 15

51 and 15 are your answers

Given the points on the line:

(x1, y1) ==> (-2, 5)

(x2, y2) ==> (2, -3)

Let's find the equations that represent the line.

Apply the point-slope form:

y - y1 = m(x - x1)

Where m represents the slope, x1 and y1 represents the values of one point on the line.

To find the slope of the line apply the slope formula:

Substitute values into the formula and solve for m:

Substitute -2 for m in the point-slope equation:

y - y1 = -2(x - x1)

Substitute the coordinates of each point for x1 and y1

At (-2, 5):

y - 5 = -2(x - (-2)) ==> y - 5 = -2(x + 2)

At (2, -3):

y - (-3) = -2(x - 2) ==> y + 3 = -2(x - 2)

The possible equations for line are:

• y - 5 = -2(x + 2)

• y + 3 = -2(x - 2)

ANSWER:

• A. y + 3= -2(x - 2)

• B. y - 5 = -2(x + 2)

Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

Answer:

2

Step-by-step explanation:

because u need to multiply

Answer:

251.32741

Step-by-step explanation: Later Surface Area Formula: 2(pi)rh

The estimated total annual expenditure on restaurants and carryout food for the 92 million Americans aged 50 and over is approximately $172,036,000,000.

The question is asking about the average annual expenditure on restaurants and carryout food for individuals in the age group of 50 and over, based on a sample of 60 persons with a sample standard deviation of $550.
To find the average annual expenditure, we need to calculate the sample mean. The formula for the sample mean is:
Sample Mean = Sum of all observations / Number of observations
In this case, the sum of all observations is not given. However, we can estimate the sample mean using the formula for the population mean:
Sample Mean ≈ Population Mean
The population mean can be calculated by multiplying the estimated average annual expenditure per person by the total number of people in the age group.
Population Mean = Average annual expenditure per person * Total number of people
We know that the average annual expenditure per person is $1,873 and the total number of people in the age group is 92 million.
Now, let's calculate the population mean:
Population Mean = $1,873 * 92 million
Next, we need to calculate the margin of error using the sample standard deviation. The formula for the margin of error is:
Margin of Error = (Sample Standard Deviation / Square Root of Sample Size) * Z-Score
The Z-Score corresponds to the desired level of confidence. Let's assume a 95% confidence level, which corresponds to a Z-Score of 1.96.
Now, let's calculate the margin of error:
Margin of Error = ($550 / Square Root of 60) * 1.96
Finally, we can calculate the confidence interval by subtracting the margin of error from the sample mean and adding it to the sample mean:
Confidence Interval = Sample Mean - Margin of Error to Sample Mean + Margin of Error
Please note that the sample mean and confidence interval calculations are approximations based on the assumptions made.

The estimated total annual expenditure on restaurants and carryout food for the 92 million Americans aged 50 and over is approximately $172,036,000,000.

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Answer:

x=7, y=9. (7, 9).

Step-by-step explanation:

-3x+y=-12

5x-2y=17

---------------

y=-12-(-3x)

y=-12+3x

y=3x-12

5x-2(3x-12)=17

5x-6x+24=17

-x+24=17

-x=17-24

-x=-7

x=7

y=3(7)-12

y=21-12

y=9

The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

Explanation:

The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.

To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:

Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute

To find the time interval, we can subtract 2 from 8:

Δt = 8 - 2 = 6 minutes

Now we can use the formula for average acceleration:

a = Δv/Δt = (-220)/6 = -40 meters per minute squared

Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

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Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Answer:

Y-intercept is -1

Step-by-step explanation:

Slope-intercept form:

y=mx+b

b=y-intercept

m=slope

y=3x-1

b=-1

Hope this helps!

Please mark as brainliest if correct!

For a production company of total 24 workers, who works in different shifts. The probability that all 6 workers are selected from the same shift is equals to the 0.0019.

We have a company with faculty working in different shifts. Total number of workers in company = 10 + 8 + 6 = 24

Number of workers work in day shift = 10

Number of workers work in swing shift= 8

Number of workers work in graveyard shift = 6

Now, 6 workers are randomly selected from among 24. That is any of group of 6 can be selected. Number of possible ways to select 6 out of 24 = ²⁴C₆=134,596.

Number of ways to select a group of 6 workers from morning shift = ¹⁰C₆ = 210

Number of ways to select a group of 6 workers from swing shift = ⁸C₆= 56

Number of ways to select a group of 6 workers from graveyard shift = ⁶C₆ = 1

Now, probability to select the group of 6 from morning shift = \(\frac{210}{134596}\)

Probability to select the group from morning shift = \(\frac{56}{134596}\)

Probability to select the group from graveyard shift=\(\frac{1}{134596}\).

Total probability for selecting a group of 6 workers from same shift \(= \frac{210}{134596} + \frac{56}{134596} + \frac{1}{134596} \)

\(= \frac{267}{134596}\)

= 0.00198

Hence, required probability is 0.0019.

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Complete question:

a production company factory 10 workers on day shift , 8 workers on swing shift and 6 workers on graveyard shift. A quality control team select 6 workers for in depth interviews.. Suppose the selection made in such a way that any particular group of 6 workers has same chance to selecting as does any other group( drops 6 slips without replacement from among 24 )

what is the probability that all 6 workers are selected from the same shift, again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p all same.

Based on the given inequality of y≥ x - 1, the graph that matches it best is C. Graph A.

When graphing an inequality with the "greater or equal" and "less or equal" signs, the line will be a steady line as shown by graphs A and B.

If y is the larger or equal variable, the shaded area will be to the left of the line.

The inequality is y≥ x - 1 which means that the line should be steady and the shading should be on the left of the line. Graph A is therefore the correct graph.

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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The dimensions of the box are 12 inches by 2 inches by 4 inches.

Let's use variables to represent the dimensions of the box:

Let h be the height of the box (in inches).

Then, the length of the box is 8 inches more than the height, so it is h + 8.

The width of the box is 2 inches less than the height, so it is h - 2.

The volume of the box is given as 96 cubic inches, so we can set up an equation:

Volume = Length × Width × Height

96 = (h + 8) × (h - 2) × h

h = 4

Height: h = 4 inches

Length: h + 8 = 12 inches

Width: h - 2 = 2 inches

Therefore, the dimensions of the box are 12 inches by 2 inches by 4 inches.

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The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

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The number of miles that are spent in the mountain will be 30 miles.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hours and 48 minutes.

Let 't' and 'T' be the amount spent on the mountain and plain. Then the equation is given as,

37.5t + 90T = 300                 ....1

t + T = 3 + 48 / 60

t + T = 3.8                             .....2

From equations 1 and 2, then we have

37.5t + 90(3.8 - t) = 300

37.5t + 342 - 90t = 300

52.5t = 42

t = 0.8 hour

Then the distance of the mountain is given as,

d = 37.5 x 0.8

d = 30 miles

The number of miles that are spent in the mountain will be 30 miles.

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The slope intercept form of the equation for each line is y = -1/3 -x.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here, m is slope and c is constant.

To find the slope intercept form of the equation,

(4, -2) and (-5, 3)

The slope intercept form of the equation is y = -(3/4)x + 3.

Therefore, the slope of the line is;

m = Δy/Δx

m = 5/-9

When we simplify it, then we get the;

3 - y= -5/9(-5-x)

y = -25/9-3 -x

y = -3/9 -x

y = -1/3 -x

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Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.

One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.

The specific class or collection of numbers known as whole numbers includes:

Two positive whole numbers greater than 1 are 2 and 3.

2 and 3 does not have any common factor except 1.

sum of 2 and 3 = 5

Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The given equations of planes are: 15x - 3y + 12z = 2  & 2y = 10x - 8z

To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.

The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].

Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.

The dot product of the normal vectors of the given planes is:

[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0

Since the dot product is zero, the planes are perpendicular to each other.

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To synthesize information regarding when books were written, Alex should create a timeline.  So, the correct option is A.

A timeline is a visual representation of chronological events, which can be used to arrange information in order based on their time of occurrence. In this case, Alex can plot the publication dates of the books on a timeline, allowing him to see how the dates relate to each other and to other events. This will help him to identify patterns and trends in the publication history of the books.

A Venn diagram, on the other hand, is a tool used to compare and contrast two or more sets of information. It is not well-suited for presenting chronological information.

A chart may be useful in presenting data in a visual manner, but it may not be as effective as a timeline in showing the order of events over time.
Therefore, the best answer from the choices provided is A. timeline.

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Answer:

the answer is £1.47

Step-by-step explanation:

on a calculator time's your number by 0.12 and that's how you found your answer

Answer:

Step-by-step explanation:

Shiredddddd

The most important thing to notice about a table of q-sort correlates is d. general patterns that emerge.

Q-sorting is a method of ranking items in order of preference or importance, and Q-sort correlates are used to identify relationships between the ranked items. The correlations in the table represent how strongly the items are associated with each other based on their rankings.

While the exact value of the correlations is important for statistical analysis, the most valuable information in a table of q-sort correlates is the general patterns that emerge. These patterns can help to identify groups of items that are closely related to each other, as well as those that are more distantly related.

Understanding the wording of specific items may also be important, as it can impact how the items are ranked and how they relate to each other. However, the primary focus of a table of q-sort correlates is on the relationships between the items, rather than the items themselves.

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Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

No

Step-by-step explanation:

It does not because 5 times the sum of p and 11 is written like this :-

So, it's not the same.

To get 5p + 11, the correct statement should be :-

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer:

6

Step-by-step explanation:

The total arc length of the curve on 0 ≤ t ≤ 1 is given by the integral ∫[0 to 1] √[9t⁴/4 + 25] dt.

To find the equation of the tangent line to the curve at t = 1, we need to compute the derivatives dx/dt and dy/dt. Taking the derivatives of the given parameterization, we have dx/dt = 3t^(1/2) and dy/dt = 5. Evaluating these derivatives at t = 1, we find dx/dt = 3 and dy/dt = 5.

The slope of the tangent line at t = 1 is given by the ratio dy/dt over dx/dt, which is 5/3. Using the point-slope form of a line, where the slope is m and a point (x₁, y₁) is known, we can write the equation of the tangent line as y - y₁ = m(x - x₁). Plugging in the values y₁ = 5(1) = 5 and m = 5/3, we obtain the equation of the tangent line as y - 5 = (5/3)(x - 1), which can be simplified to 3y - 15 = 5x - 5.

To compute the total arc length of the curve for 0 ≤ t ≤ 1, we use the formula for arc length: L = ∫(a to b) √(dx/dt)² + (dy/dt)² dt. Plugging in the derivatives dx/dt = 3t^(1/2) and dy/dt = 5, we have L = ∫(0 to 1) √(9t)² + 5² dt. Simplifying the integrand, we get L = ∫(0 to 1) √(81t² + 25) dt.

To evaluate this integral, we need to find the antiderivative of √(81t² + 25). This can be done by using appropriate substitution techniques or integration methods. Once the antiderivative is found, we can evaluate it from 0 to 1 to obtain the total arc length of the curve.

Note: Without further information about the specific form of the antiderivative or additional integration techniques, it is not possible to provide a numerical value for the total arc length. The exact computation of the integral depends on the specific form of the function inside the square root.

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