Use the graph to answer the question. Graph of polygon ABCD with vertices at negative 6 comma negative 2, negative 4 comma 5, 1 comma 5, negative 1 comma negative 2. A second polygon A prime B prime C prime D prime with vertices at negative 6 comma 2, negative 4 comma negative 5, 1 comma negative 5, negative 1 comma 2. Determine the line of reflection used to create the image. x = 2 y = 2 y-axis x-axis

The amount of net working capital for the fixed assets of $27,730 and short term $16,920 is equal to option d) $4,935.

Fixed assets is equal to $27,730.

Long term debt is equal to $34,780

Short term = $16,920

Stockholder equity = $5,875

To calculate the net working capital,

we need to subtract current liabilities from current assets.

Current assets = Note-payables (short-term) + Stockholder equity

⇒Current assets = $16,920 + $5,875

⇒Current assets = $22,795

Current liabilities = Note-payables (short-term)

⇒Current liabilities = $16,920

Net working capital

= $27,730 - $22,795

= $4,935

Therefore, the amount of net working capital is option d) $4,935.

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Communist reformer Deng Xiaoping is associated with the establishment of Special Economic Zones in China.

Deng Xiaoping, a prominent Communist reformer in China, is primarily associated with the establishment of Special Economic Zones (SEZs) in the country. These zones were created as part of Deng's economic reforms to introduce market-oriented policies and attract foreign investment. The SEZs aimed to provide a more liberalized and business-friendly environment in selected areas of China, encouraging economic development and modernization.

Deng Xiaoping recognized the need for economic reforms to lift China's economy and improve the standard of living for its citizens. The establishment of Special Economic Zones was a key component of his strategy. These zones, initially set up in Shenzhen, Zhuhai, Shantou, and Xiamen, offered various incentives for foreign investment and trade, such as tax breaks, relaxed regulations, and preferential policies. They served as experimental areas where market-oriented reforms were implemented, allowing for greater economic freedom and encouraging foreign businesses to invest in China.

The establishment of Special Economic Zones had a significant impact on the geography of China. These zones became major centers of economic activity, attracting both domestic and foreign investments. They experienced rapid industrialization, urbanization, and infrastructure development. The success of the SEZs encouraged the Chinese government to expand the concept to other regions, leading to the creation of more Special Economic Zones throughout the country. The introduction of market-oriented policies in these zones played a crucial role in China's economic growth and transformation, contributing to its emergence as a global economic powerhouse.

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The vectors u and v are orthogonal when k equals 5 or -2.

Two vectors u and v are orthogonal if their dot product is equal to zero. The dot product of two vectors u and v is given by the formula:

u · v = u₁ × v₁ + u₂ × v₂ + u₃ × v₃

where u₁, u₂, u₃ are the components of vector u, and v₁, v₂, v₃ are the components of vector v.

Let's calculate the dot product of u and v:

u · v = (k × -5) + (k × (k + 2)) + (-2 × 5)

= -5k + k² + 2k - 10

= k² - 3k - 10

For the vectors to be orthogonal, the dot product must be zero:

k² - 3k - 10 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula:

(k - 5)(k + 2) = 0

From this equation, we can see that the values of k that satisfy the equation are:

k = 5 or k = -2

Therefore, the vectors u and v are orthogonal when k equals 5 or -2.

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Among the following statements, the one that best describes a probability distribution is: A list of the outcomes of a random experiment and the probability of each outcome.

A probability distribution is a list of the possible outcomes of a random experiment and the probability of each outcome. It provides a complete description of the possible outcomes and their associated probabilities for an experiment. Probability distributions are used to calculate the likelihood of specific events occurring and to determine the expected value of a random variable.

It lists all possible outcomes of a random experiment and assigns a probability to each outcome. The probabilities assigned to each outcome must add up to 1.

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Answer:

keira and esme share £2100 esme gets twice as much money as kiera how much does esme receive

Step-by-step explanation:

Answer:

2/2 = 1

Step-by-step explanation:

Slope intercept equation:

y2 - y1 / x2 - x1 = slope

10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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Answer:

\(P(A\ and\ B) = 44\%\)

Step-by-step explanation:

Given

Represents the event as follows:

A = \(Elon\ Musk\) will offer you a \(free\ trip\) into space in the next month\

B = Scientists from \(Area\ 51\) will \(start\ selling\) pet aliens next month

So, we have:

\(P(A) = 41\%\)

\(P(B) = 27\%\)

\(P(A\ or\ B) = 24\%\)

Required

Determine \(P(A\ and\ B)\)

This is calculated as:

\(P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)\)

So, we have:

\(P(A\ and\ B) = 41\% + 27\% - 24\%\)

\(P(A\ and\ B) = 44\%\)

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

The answer to the question is d, 30%.According to the video, approximately 30% of our brains are dedicated to decoding images. When we see an image, our brains immediately decode it into color, depth, and other visual information. This visual processing is carried out in the occipital lobe, which is located in the rear part of the brain.The occipital lobe is divided into two halves, one on each side of the brain. Each half is responsible for processing visual information from the opposite side of the body. This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

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Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r. The statement means that the height of the cylindrical soup is 7 more than its radius.

Answer:

Step-by-step explanation:

the height of the cylendar is 7 units greater than the radaius

Imagine cutting this shape into two semi-circles and one rectangle.

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

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

We know the area of a whole circle which is π\(r^{2}\)

because a semi-circle is basically half of the whole circle!

However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.

for reference:

1/2(π\(r^{2}\)) + 1/2(π\(r^{2}\)) = 2/2(π\(r^{2}\)) = π\(r^{2}\)

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

First, the area of rectangle: length times width = 84 x 36 = 3024 square meters

Anyways, since we have to sub in 3.14 for π

Area of a whole circle: (3.14 x \(r^{2}\)) = (3.14 x \(18^{2}\)) = 1017.36 square meters

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

3024 + 1017.36 = 4041.36 square meters

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

Juan

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

Mark

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

Barry

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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Answer: y=-2x+3

Step-by-step explanation:

M= 1--2/-1-5

Y-1=-2(x-1)

-2x+2+1

Y=-2x+3

Answer:

c = 6P

Step-by-step explanation:

equation format: c = mP

c = the total cost Donna pays

m = the cost per pound of chocolate(6)

P = the amount of pounds Donna buys

Since we know the cost per pound is $6, we can input it into the equation format:

c = 6P

Now we have an equation that represents the total cost (c) that Donna pays for P pounds.

Let C = total cost that Donna pays.

Donna buys P pound at $6 per pound tells me to multiply.

C = 6P.

Understand?

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

The Average acceleration is -4.39 fps^2 and the stopping time is 3.96 seconds

We know that

Average acceleration formula is: a = ( v - u ) / t

Stopping distance formula is: s = ( u * t ) + ( 0.5 * a * t ^ 2)

where v => initial velocity

u => final velocity

t => time taken

Initial velocity, u = 52 mph

Final velocity, v = 0 mph

Stopping distance, s = 145 feet

Initial velocity (u) = 52 mph = 52 * 1.47 fps (1 mph = 1.47 fps) ≈ 76.44 fps

s = (u * t) + (0.5 * a * t^2)

145 = (76.44 * t) + (0.5 * a * t^2)   --> ( Equation1 )

v = u + (a * t)

0 = 76.44 + (a * t) --> ( Equation2 )

Now, from equation2, at = -76.44

Placing at value in equation1, 145 = ( 76.44 + 0.5 * (-76.44) ) * t

t = 3.96

Placing t value in at = -76.44,

a = 4.39

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Answer:

First parabola's vertex is (-2,2), which is a minimum.

Second parabola's vertex is (3,2), which is a maximum.

Step-by-step explanation:

Simply, a vertex of a quadratic is a graph's turning point.

The maximum and minimum can be identified by seeing if the graph curves up or down.

Maximum occurs when your graph is facing down.

Minimum occurs when your graph is facing up.

To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3

Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3

The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3

To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3

So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.

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The statement "(X, T) is Hausdorff but not connected" is false. In the given set X = {1, 2, 3, 4, 5} and the topology T defined as T = {∅, X, {1}, {1, 4}, {1, 5}, {1, 4, 5}}, it can be observed that X with this topology is not Hausdorff.  

This is because there exist points in X that cannot be separated by disjoint open sets. For example, the points 4 and 5 cannot be separated by disjoint open sets since any open set containing 4 also contains 5, and vice versa.

Furthermore, X with the given topology T is also not connected. It can be partitioned into two non-empty disjoint open sets, namely {1} and {2, 3, 4, 5}, which demonstrates that X is not a connected space.

Therefore, the correct statement is neither "(X, T) is Hausdorff but not connected" nor "(X, T) is connected and Hausdorff"

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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The geometric shape that represents a smooth up-and-down motion of a periodic oscillation like tides is a sine wave. A sine wave is a smooth, continuous curve that repeats itself in a regular and periodic manner.

The geometric shape of a smooth up-and-down motion that represents a periodic oscillation like tides is a sinusoidal curve or a wave. More specifically, it can be described as a sine wave.

A sine wave is a smooth, continuous curve that repeats itself in a regular and periodic manner. It is characterized by its oscillating pattern, where it alternates between positive and negative values as it moves along the x-axis. The shape of the sine wave resembles the rising and falling motion of tides, making it an appropriate geometric representation.

In the context of tides, the sine wave represents the periodic variations in the water level caused by the gravitational pull of the Moon and the Sun. As the tide rises and falls, the water level follows a smooth, up-and-down motion similar to the shape of a sine wave.

By using mathematical functions and trigonometry, the behavior of tides and other periodic oscillations can be accurately modeled and represented by sinusoidal curves, allowing us to study and predict their patterns and behaviors.

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Answer:

The answer is 2.55

Step-by-step explanation:

12.75 / 5

= 2.55

Answer:

Step-by-step explanation: each soda cost $2.55

Hope it helps Bro

and can you name me brainliest please

Answer:

x ≤ 20

Step-by-step explanation:

She is at most twenty years old.

    x ≤ 20

If she is x, and is at most 20 then she can be 20 or less.

She can be 20, 19, 18, 17,...

Answers:

The blue angle is 135 degrees

The angle is obtuse

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

Explanation:

Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.

Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135

Either way, you should get to 135 degrees as the angle value.

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

The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

(4-g) X 1.5

Step-by-step explanation: