Which of the following statements about points are true?
A. They have length but no height.
B. Their sizes vary.
C. Their size depends on their dimensions.
D. They have no size and no dimensions.

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

To pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.

1. Determine the weight of cement required for the foundation, which is 75 tonnes.

2. Calculate the weight of each cement bag, which is 0.5 tonnes.

3. Divide the total weight of cement required (75 tonnes) by the weight of each bag (0.5 tonnes) to find the number of bags needed.

  75 tonnes ÷ 0.5 tonnes = 150 bags

4. Therefore, to pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The standard form of the LP is

min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

The problem is in standard form with all constraints as "≤" inequalities and all variables non-negative.

To convert the given linear programming problem (LP) into standard form, we need to make sure that all the constraints are of the form "≤" and the objective function is in the form of "minimize" or "maximize" with all variables on the right side.

1. Start by converting the objective function. The given objective function is already in the form of "minimize," so no changes are needed.

2. Next, convert the first constraint, x1 >= 3. Since it is already in the correct form, we can move on to the second constraint.

3. Convert the second constraint, x1 + x2 <= 4. To convert it to the "≤" form, subtract x1 from both sides: x2 <= 4 - x1.

4. Now, convert the third constraint, 2x1 - x2 = 3.

Since it is an equation, we need to introduce a slack variable to convert it into an inequality.

Add a new variable, s, and rewrite the constraint as follows: 2x1 - x2 + s = 3.

5. Finally, we need to ensure that all variables are non-negative.

The given constraint x2 >= 0 is already in the correct form, but x1 has no explicit lower bound.

To address this, we can introduce a new variable, x1+, and rewrite x1 as the difference between x1+ and 3: x1 = x1+ - 3.

The standard form of the LP is now:
min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

In summary, the LP is converted to standard form by rewriting the constraints and introducing additional variables as necessary to ensure all constraints are in the form of "≤" and the objective function is in the form of "minimize."

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The answer is d. +0.5. A correlation coefficient of +0.5 provides the greatest risk reduction.

A correlation coefficient of +0.5 indicates a moderate positive correlation between two variables, meaning they are somewhat related. When two variables are moderately correlated, the risk reduction is greater than when they are not correlated at all (correlation coefficient of 0) or perfectly correlated (correlation coefficient of 1 or -1).

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Answer:

RS = 11

Step-by-step explanation:

RS + ST = ST

2x-9 + x+2 = 23

Combine like terms

3x -7 =23

Add 7 to each side

3x-7+7 =23+7

3x= 30

Divide by 3

3x/3 = 30/3

x = 10

RS = 2x-9

    = 2(10) -9

       20-9

       11

Answer: 11

Step-by-step explanation:

Since we know RT we can add RS and ST to equal RT.

\((2x-9)+(x+2)=23\\\)

The parenthesizes are not necessary, but they help understand the parts of the equation.

We can remove the parenthesizes and then combine like terms.

\(3x-7=23\\\)

Now add 7 to both sides to isolate the 3x.

\(3x=30\\\)

Now divide by 3 to solve for x.

\(x = 10\\\)

Now that we have solved for x we need to plug it back into the RS expression to solve for that length.

\(2(10)-9=RS\\\)

Now solve.

RS = 11

Answer:

Just put it in the middle of the square. and since this is a half, it should be in the middle of the square top right of the center point. or (0, 0)

Step-by-step explanation:

Since half on a graph is literally half of the square its the same for both Y and X cords. so it should be in the center if its half and half.

The value of c is approximately -1.964.To find the value of c in the equation A = 70.5 + 19.5 sin(pi/6t + c), we need to use the given information that the coldest temperature occurs in January (t = 1).

Substituting t = 1 into the equation, we have:

A = 70.5 + 19.5 sin(pi/6 + c)

We know that the coldest temperature occurs in January, which means it is the minimum value of A. For a sine function, the minimum value is -1. Therefore, we can set A = -1 and solve for c.

-1 = 70.5 + 19.5 sin(pi/6 + c)

Rearranging the equation, we have:

19.5 sin(pi/6 + c) = -1 - 70.5

19.5 sin(pi/6 + c) = -71.5

Dividing both sides by 19.5, we get:

sin(pi/6 + c) = -71.5 / 19.5

Using the inverse sine function (arcsin), we can solve for c:

pi/6 + c = arcsin(-71.5 / 19.5)

c = arcsin(-71.5 / 19.5) - pi/6

Using a calculator to evaluate the inverse sine and subtracting pi/6, we find:

c ≈ -1.964

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Answer:

1. Non-linear function

2. Linear function

3. Linear function

4. Non-linear function

5. Non-linear function

Step-by-step explanation:

Linear functions are classified as straight lines with an additive rate of change.

Ex. f(x) = 3x

(1,3), (2,6), (3,9).. and so on.

Answer:

y=17x-55

Step-by-step explanation:

y-(-4)=17(x-3)

y+4=17x-51

y=17x-55

The name of radicals are cation and anion

A radical is an atom, molecule, or ion that has an unpaired valence electron. A notable example of a radical is the calcium ion

A radical can be electrically stable, positively charged and negatively charged.

Positively charged radicals are called cations and the negatively charged radicals are called anions.

If a balanced atom loses one or more electrons, it will become a positively charged cation.And if a balanced atom gains one or more electrons, it will become negatively charged anions.

Therefore the names of radicals are cations and anions i.e positively charged radicals and negatively charged radicals respectively.

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If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

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The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1

There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.

The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the  user to present in a professional way.  The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.

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Answer:

m = 4

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Two points (-1, 0) (0,4)

We see the y increase by 4, and the x increase by 1, so the slope is

m = 4

i hope this helps! let me know if you want me to explain more. sorry the picture is a little blurry

Answer:

clarissa

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

To find a line perpendicular to another, you must find an equation with a negative reciprocal slope, in this case -5/2, thus it is b

From the word problem, we know that:

• Matt earns $6 per hour spreading mulch

• Matt earns $4 per hour pulling weeds

Since Matt spent 3 hours spreading mulch, we can find his earnings multiplying 3 by $6.

Since Matt spent 2 hours pulling a weed, we can find his earnings multiplying 2 by $4.

Finally, we add up Matt's earnings from doing both activities.

Therefore, last week Matt earned $26.

The diagonals are 17.4 inches

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

DH = 10, HK = 8.2, KB = 6, HR = 8 and KY = 6.8

Given that DHB is a right triangle, we have

DB² = HB² + DH²

So, we have

DB² = (8.2 + 6)² + 10²

DB² = 301.64

Take the square root

DB = 17.4

The triangles DBY and RYB are congruent triangles

So, we have

RY = 17.4

The figure is an isosceles triangle, and the length does not meet the regulation

This is so because the length is less than the required 20 inches

The two non-parallel sides of an isosceles triangle are of equal length

So, we have

1/2x + 5 = 2x - 4

Evaluate the like terms

3/2x = 9

This gives

x = 9 * 2/3

x = 6

So, we have

KR = 1/2x + 5

This gives

KR = 1/2 * 6 + 5

KR = 8

So, the value of KR is 8 units

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Yesterday, 5 more rooms were occupied than today.

The number of occupied rooms is obtained applying the proportions in the context of the problem.

Yesterday, the number of rooms occupied was given as follows:

4/5 x 100 = 0.8 x 100 = 80 rooms.

Today, the number of rooms occupied is given as follows:

3/4 x 100 = 0.75 x 100 = 75 rooms.

80 > 75, and the difference is given as follows:

80 - 75 = 5.

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Using the concept of sample, the correct option is:

B. The sample is the randomly selected customers.

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

Sampling:  

Suppose I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this case:

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

In this question, a survey is passed to the customers, which are the sample. Thus, the correct option is:

B. The sample is the randomly selected customers.

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Answer:

b

Step-by-step explanation:

Answer:

adult-135

kid-27

Step-by-step explanation:

13.50*10=135

4.50*6=27

Two organ systems that help maintain homeostasis after exercise are the respiratory system and the cardiovascular system.

1. Respiratory System:

During exercise, the increased activity of muscles leads to an increased demand for oxygen, and as a result, the cells produce more carbon dioxide (CO2) as a byproduct of cellular respiration. The respiratory system plays a vital role in maintaining homeostasis by regulating the levels of oxygen and carbon dioxide in the body.

After exercise, the respiratory system responds by increasing the rate and depth of breathing. This elevated ventilation allows for a greater intake of oxygen from the inhaled air. The oxygen-rich air enters the lungs, where it diffuses across the thin walls of the alveoli and into the bloodstream. Simultaneously, the increased ventilation facilitates the removal of carbon dioxide from the bloodstream into the alveoli, ready to be exhaled.

By adjusting the rate and depth of breathing, the respiratory system helps restore homeostasis by replenishing oxygen levels and eliminating excess carbon dioxide. This ensures that the body's cells receive the necessary oxygen for energy production while preventing the buildup of carbon dioxide, which can be detrimental if allowed to accumulate.

2. Cardiovascular System:

The cardiovascular system, composed of the heart, blood vessels, and blood, works in conjunction with the respiratory system to maintain homeostasis after exercise. Its primary function is to deliver oxygen and nutrients to the tissues while removing waste products, including carbon dioxide.

During exercise, the cardiovascular system responds to the increased demand for oxygen and the accumulation of carbon dioxide. The heart rate increases, leading to a higher cardiac output. The cardiac output is the amount of blood pumped by the heart per minute, and it increases to meet the heightened oxygen requirements of the active muscles.

As the heart pumps more vigorously, blood flow to the muscles is enhanced. This allows for the delivery of oxygen and nutrients to the working tissues, promoting their optimal function. Simultaneously, the increased blood flow facilitates the removal of carbon dioxide produced during exercise.

The blood vessels also play a role in maintaining homeostasis after exercise. They undergo vasodilation, which means the blood vessels widen to accommodate the increased blood flow to the muscles. This vasodilation helps dissipate heat generated during exercise and allows for efficient oxygen and nutrient delivery to the tissues.

Together, the respiratory system and the cardiovascular system work synergistically to maintain homeostasis after exercise. The respiratory system ensures an adequate supply of oxygen and the elimination of excess carbon dioxide, while the cardiovascular system delivers oxygen and nutrients to the tissues while removing waste products. This coordinated effort helps restore the body's internal balance and supports efficient cellular function.

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The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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The value x of given linear equation in one variable is \(13\)

To solve for x in the equation \(4x-1 +3x -1 +7x = 180\), we first need to combine the like terms on the left side:

\(4x-1 +3x -1 +7x = 180\)

Next, we can isolate the variable term by adding \(2\) to both sides:

\(14x -2 +2 = 180+2\\14x = 182\)

Finally, we can solve for x by dividing both sides by \(14\):

\(x = \frac{182}{14}\)

This can be simplified by dividing both the numerator and denominator by their greatest common factor, which is \(14\):

\(x = 13\)

Therefore, the value of \(x\) that satisfies the equation \(4x-1 +3x -1 +7x = 180\) is \(x = 13\)

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The Fees Receivable average account is used to record amounts due from Wilson Company for services provided by Tsang Company.

The Fees Receivable account is used to track amounts due from Wilson Company to Tsang Company for services that have been provided but not yet invoiced. The account is created when Tsang Company begins a contract to provide services to Wilson Company for six months at a total cost of $21,600. This amount is paid at the end of the six-month period, with equal services being provided each month. The Fees Receivable account is used to record the amount due each month, with the total balance of the account being equal to the total cost of the services provided. It is important to keep track of amounts due from customers so that the business can accurately track its accounts receivable and ensure that it is receiving payment for the services it has provided.

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