What is the common difference of these numbers 0.5 , 0 ,-0.5 ?

In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

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Answer:

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Step-by-step explanation:

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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The relationships are illustrations of proportional equations

Machine D could pack 605 more candies than machine C in 11 minutes

The equation of machine C is represented by:

\(y = 75x\)

The equation of the graph of machine D is represented by:

\(y = 130x\)

Substitute 11 for x in both equations

\(y = 75 * 11 = 825\)

\(y = 130 * 11 = 1430\)

Calculate the difference (d)

\(d =1430 - 825\)

\(d =605\)

Hence, Machine D could pack 605 more candies than machine C in 11 minutes

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The table that shows a proportional relationship is Table A.

A proportional relationship is a type of relationship between two variables in which the ratio of their values remains constant. In other words, as one variable increases or decreases, the other variable also increases or decreases in proportion to it.

In table A, we see that :

= 150 / 3

= 50

= 200 / 4

= 50

= 250 / 5

= 50

Every single value of y, gives the same value of x so this means that the table shows a proportional relationship.

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Therefore , the solution of the given problem of unitary method comes out to be the additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.

By combining what was learned and implementing this variable technique, which also includes all supplemental information from two people who used a particular tactic, the task can be finished. In other words, if the desired result occurs, either the entity specified expression in the computation will be acknowledged, or both of the expression's crucial processes will actually skip the colour. A refundable fee of Rupees ($1.01) may be needed for forty pens.

Here,

The fact that goods are delivered straight to warehouses distinguishes Inditex SA's value chain from other companies.

As a result, lead periods are shortened and inventory costs are kept to a minimum during the quick and effective distribution of goods to retail stores. Fast fashion is this method, and it has been a major factor in Inditex's success in the fashion sector.

The additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.

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9514 1404 393

Answer:

  158,000

Step-by-step explanation:

Using the given square feet for x in the equation, we have ...

  y = 0.071×1483 +52.48 = 157.773

We presume this is supposed to represent the estimated value of the house in thousands.

The fair price is estimated to be 158,000.

Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning

• 2 - x exists for all x < -1

• x exists for all -1 ≤ x < 1

• (x - 1)² exists for all x ≥ 1

So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.

At x = -1, as I said in my comment, you have

\(\displaystyle \lim_{x\to-1^-}f(x) = \lim_{x\to-1}(2-x) = 2-(-1) = 3\)

while

\(\displaystyle \lim_{x\to-1^+}f(x) = \lim_{x\to-1}x = -1\)

But -1 ≠ 3, so the two-sided limit

\(\displaystyle\lim_{x\to-1}f(x)\)

does not exist. So a = -1 is one of the points you would list.

At x = 1, we have

\(\displaystyle \lim_{x\to1^-}f(x) = \lim_{x\to1}x = 1\)

while

\(\displaystyle \lim_{x\to1^+}f(x) = \lim_{x\to1}(x-1)^2 = (1-1)^2 = 0\)

and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.

The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

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

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

The answer is 12/7.

Step-by-step explanation:

To get the answer, simply subtract -1 to 5/7

\(\frac{5}{7} - (-1)\\\)

Find the least common denominator.

\(\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}\)

= 12/7

To check, add -1 to 12/7.

\(\frac{12}{7} + (-1)\)

Find the least common denominator.

\(\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}\)

= 5/7

Answer:

29

Step-by-step explanation:

\(2x+(3y+z^2)\\=2*2+(3*3+4^2)\\=4+(9+16)\\=4+25\\=29\)

Answer:

21 OR 29

Step-by-step explanation:

I can't tell whether the star symbol is supposed to be for multiplication or to signify an exponent, so just to be safe, let's solve it for both ways. :)

MULTIPLICATION

First, let's substitute the known values in for the variables:

2(2) + (3(3) + (4)2)

Then, multiply and add:

4 + (9 + 8) = 4 + 17 = 21

EXPONENT

First, substitute known values in for variables:

2(2) + (3(3) + (4)^2)

Then, multiply and add:

4 + (9 + 16) = 4 + 25 = 29

Hope this helped!

Let the common sides have length x, i.e, we have 2 sides measuring x

the third side would measure 2x - 3.

The perimeter = x + x + 2x - 3 = 4x - 3 = 17

so, 4x = 17 + 3 ,

4x = 20

x = 20/4 = 5m

Therefore, the three sides are 5m , 5m and 2( 5 )-3 = 10 - 3 = 7m

Answer:

-5/6

Step-by-step explanation:

(9, 5) and (21, -5)

slope = m = (difference in y)/(difference in x)

m = (-5 - 5)/(21 - 9)

m = -10/12

m = -5/6

Answer: -5/6

The slope of the line that passes through points (9,5) and (21,-5) is -5/6.

We can use the two-point formula to find the slope for the given line. The formula is as follows:

(y2 - y1) = m*(x2 - x1)

Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.

In the given case:

x1=9, x2=21

y1=5, y2=-5

Using these values in the two-point formula, we get:

(-5-5)=m*(21-9)

-10=m*12

m=-10/12

m=-5/6

Hence the slope of the line is -5/6.

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The exact value of the trigonometric function is equal to - √5 / 2.

In this problem we must derive the exact value of a trigonometric function based on result of another trigonometric function and given quadrant from Cartesian plane.

Cartesian plane is formed by intersection of two orthogonal axes that creates after four regions known as quadrants, now defined:

And trigonometric functions for a given angle are defined below:

sin θ = y / r

cos θ = x / r

tan θ = y / x

cot θ = x / y

sec θ = r / x

csc θ = r / y

Where r = √(x² + y²) by Pythagorean theorem.

First, derive the components of the given trigonometric function:

sec θ = 3 / 2 → x = 2, r = 3

y = - √(r² - x²)

y = - √(3² - 2²)

y = - √(9 - 4)

y = - √5

Second, find the exact value of the tangent:

tan θ = - √5 / 2

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The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

14.86606875 or

\( \sqrt{221} \)

Step-by-step explanation:

\( {5}^{2} + {14}^{2} = 221\)

\( \sqrt{221} \)

use the pythagorean theorem

Answer: C 92) = 0.0625(4)

Step-by-step explanation:

it iz

Answer:

Slope= 2

y-intersept= -5

The given inequality can be written in slope-intercept form, y = 2x - 5, where the slope is 2 and the y-intercept is -5.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The slope of a line measures how much the y-coordinate changes for every unit increase in the x-coordinate.

In this case, the slope of 2 means that for every unit increase in x, the corresponding y-value increases by 2.

The y-intercept is the point where the line intersects the y-axis, and in this case, it is -5, which means that the line passes through the point (0, -5).

Therefore, the graph of the inequality is given below.

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The option that isn't a requirement when an individual is conducting the goodness-of-fit test is C. For each category, the observed frequency is at least 5.

The goodness-of-fit test simply means a statistical hypothesis test that's used to see how a sample data will be able to fit a distribution from a population with a normal distribution.

To conduct the test, the sample data must consist of frequency counts for each of the different categories, the data must have been randomly selected, and the expected frequency is at least 5.

In conclusion, for each category, the observed frequency is at least 5 is the right option.

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Answer:

Step-by-step explanation: 4/12

Answer:

4

Step-by-step explanation:

4 is the missing number! i hope this helps, have a great day:)

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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The single amount on April 1, 2012 that is equivalent to a series of equal, semiannual cash flows of $5200 is; $57,023.2

We are given;

Semi annual cash Flow; A_sa = $5200

Interest rate; r = 6%

From April 1, 2012 to January 1 2019 is 6.75 years

Thus; Period; T = 6.75 years

Cash flows is semi annual. Thus; t_a = 1/2

Thus; n_sa = 6.75 * 2

n_sa = 13.5

i_sa = 6% * 1/4 = 1.5%

Thus;

Single amount = 5200 * (P/A, 1.5%, 13.5)

From compound interest tables, P/A at n = 13.5 and at i = 3% by interpolation gives 10.966. Thus;

Single amount = 5200 * 12.137

Single amount = $63,112.4

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Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

Without security access protocols in place, well-trained employees could find ways to use the accounting system to divert or steal companies funds (money).

A security protocol is known to be a kind of communication protocol that is said to be a well planned sequence of actions to be done by two or more firms so as to achieve their desired goal.

Conclusively, Note that when there is no good or suitable security access protocols that has been put in place by an organization or firm, well-trained employees could figure out ways to use the accounting system to  divert or steal companies funds (money) from the company to their own personal account.

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Answer:

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