Eight rational numbers are plotted on a number line.

A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.

Which of the following is true about opposite numbers?

Point D and Point A are opposite rational numbers because they are the reciprocal of each other.
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
Point D and Point H are opposite rational numbers because they are the opposite reciprocals of each other.
Point D and Point F are opposite rational numbers because Point F is farther away from zero than Point D.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

PART A: Neither EOS A nor EOS B possess a critical temperature. PART B: Liquefaction is possible for a gas described by EOS A due to its pressure-dependent term. PART C: Liquefaction is not possible for a gas described by EOS B because of its constant positive term (Vm – b).


PART A:
To determine if either of the equations of state possesses a critical temperature, we need to check if they exhibit a phase transition from gas to liquid at a specific temperature. In thermodynamics, the critical temperature is the temperature above which a substance cannot exist in the liquid phase, regardless of the pressure applied.
Equation of State A: pV^m = RT(1 + Vm * b)
In this equation, there is no specific term or condition that indicates a critical temperature. Therefore, EOS A does not possess a critical temperature.
Equation of State B: p(Vm – b) = RT
Similarly, there is no term or condition that suggests a critical temperature in EOS B. Thus, EOS B also does not possess a critical temperature.
PART B:
For a gas described by EOS A, liquefaction may be possible. To liquefy a gas, we need to decrease its temperature and increase the pressure. The equation of state A, pV^m = RT(1 + Vm * b), allows for the possibility of liquefaction because as the pressure increases, the term (1 + Vm * b) becomes larger. By sufficiently decreasing the temperature and increasing the pressure, it is possible to reach conditions where the gas would condense into a liquid state.
PART C:
Liquefaction would not be possible for a gas described by EOS B. The equation of state B, p(Vm – b) = RT, does not allow for the possibility of liquefaction because the term (Vm – b) is always positive. Regardless of how much we decrease the temperature or increase the pressure, the gas will not condense into a liquid state according to EOS B.

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Answer:

BLACK IVES MATTER

Step-by-step explanation:

BLACK LIVES MATTER

The provided options (x = -2, x = -1, x = 3, x = 2) are not asymptotes for the given function.

An asymptote of a function is a line that the graph of the function approaches but never touches. In the given function Y = (4x - 2)/(x^2 - 3x). The vertical asymptotes occur when the denominator of the fraction equals zero, so we set x^2 - 3x = 0 and solve for x:
x(x - 3) = 0
x = 0 or x = 3
The vertical asymptotes occur at x = 0 and x = 3.
The horizontal asymptote occurs when the degree of the numerator is less than or equal to the degree of the denominator. In this case, the degree of the numerator is 1 and the degree of the denominator is 2, so the horizontal asymptote occurs at y = 0.
   4x - 2
x^2 - 3x | 4x - 2

- 4x + 12
-14x - 2
To determine the asymptote of the given function Y = (2/cos(y-20)), we need to identify the values of y for which the denominator (cos(y-20)) becomes zero. For cosine, this occurs when its argument is an odd multiple of π/2.

The equation y - 20 = (2n+1)π/2, where n is an integer. Adding 20 to both sides gives y = (2n+1)π/2 + 20. Since there is no specific value of x involved in this function, we can conclude that there are no vertical asymptotes in the form x = some constant value.

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Answer:

It's 2nd answer

Step-by-step explanation:

If you wanna translate 2 units down it means you will change y coordinates of x, y, z. And 5 units left you will move x coordinates. X(-1-5,-7-2) = X(-6,-9), Y(-7,-2),Z(-8,2)

Answer:

the answer is 180 degrees

Answer:

20 degrees

Step-by-step explanation:

since JIH is equal to 25x+5 degrees, then JIZ and ZIH together equal that. but, since it's a straight line, JIH equals 180, so you can set 25x+5 equal to 180. therefore, x equals 7. then you can plug in 7 for x for JIZ and you get 2(7)+6 or 20.

Answer:

41% of 78 is 31.98

Step-by-step explanation:

n = 41/100 x 78

n = 3198/100

n = 31.98

Answer:

31.98 to the nearest tenth its 32.0

Answer:

No real solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2 − 4x + 10 = 0

Step 1: Subtract 10 from both sides.

x^2 − 4x + 10 − 10 = 0 − 10

x^2 − 4x = − 10

Step 2: The coefficient of -4x is -4. Let b=-4.

Then we need to add (b/2)^2=4 to both sides to complete the square.

Add 4 to both sides.

x^2− 4x + 4 = −10 + 4

x^2− 4x + 4 = −6

Step 3: Factor left side.

(x−2)^ 2 = −6

Step 4: Take the square root.

x − 2 = ± √−6

Step 5: Add 2 to both sides.

x − 2 + 2 = 2 ± √−6

x = 2 ± √−6

So Therefore The Answer Is:

No real solutions.

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Hope This Helps You!

By resolving these equations, we can arrive at one solution.

To find the number of solutions to a system of equations, you can solve the system either by graphing the equations or by using algebraic methods such as substitution or elimination.

If the equations are compatible (meaning that there is at least one combination of values for the variables that satisfies both equations), then the system has at least one solution. If the equations are independent (meaning that they are not related to each other and cannot be derived from each other), then the system has exactly two solutions. If the equations are dependent (meaning that one of the equations can be derived from the other), then the system has exactly one solution. If the equations are incompatible (meaning that there is no combination of values for the variables that can satisfy both equations), then the system has no solutions.

In this case, the equations are 3x + 2y = 5 and 2x - 3y = 7. To find the number of solutions to this system, you can either graph the equations or solve the system using algebraic methods.

Using algebraic methods, you can start by solving one of the equations for one of the variables in terms of the other:

3x + 2y = 5

2y = -3x + 5

y = (-3/2)x + (5/2)

Then, you can substitute this expression for y into the other equation to solve for x:

2x - 3((-3/2)x + (5/2)) = 7

2x + (9/2)x - (15/2) = 7

(11/2)x - (15/2) = 7

(11/2)x = (15/2) + 7

(11/2)x = (15 + 14)/2

(11/2)x = 29/2

x = 29/11

Substituting this value for x back into the first equation, you can solve for y:

3(29/11) + 2y = 5

87/11 + 2y = 5

2y = 5 - 87/11

2y = (55 - 87)/11

2y = -32/11

y = -32/22

Therefore, the solution to this system of equations is x = 29/11 and y = -32/22. Since there is only one solution, this system has exactly one solution.

The complete question is:-

How many solutions can we get by solving these equations 3x + 2y= 5;2x -3y =7?

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Answer:

Yes

Step-by-step explanation:

A number that can be made by dividing two integers

Answer:

6.89 is a rational number

Step-by-step explanation:

6.89 is a rational number because it can be written as a simple fraction which is \(6\frac{89}{100}\). Additionally, it's not a continuous decimal so it is in fact a rational number

The rent expense allocated to each department is as follows: Jewelry department: $30,800, Cosmetics department: $46,200, Housewares department: $21,000, Tools department: $9,000, Shoes department: $18,000.

The retailer allocates 70% of the total rent expense to the first floor and 30% to the second floor. Then, the rent expense for each floor is allocated to the departments based on the square footage they occupy. By applying these allocation percentages and calculations, we determined the rent expense for each department.

Rent expense allocation:

- Jewelry department (1,760 sq ft on the first floor): ($130,000 * 70% * 1,760 sq ft) / (1,760 sq ft + 2,640 sq ft) = $30,800

- Cosmetics department (2,640 sq ft on the first floor): ($130,000 * 70% * 2,640 sq ft) / (1,760 sq ft + 2,640 sq ft) = $46,200

- Housewares department (1,848 sq ft on the second floor): ($130,000 * 30% * 1,848 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $21,000

- Tools department (792 sq ft on the second floor): ($130,000 * 30% * 792 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $9,000

- Shoes department (1,760 sq ft on the second floor): ($130,000 * 30% * 1,760 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $18,000

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A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.

Jewelry department - 1,760 square feet of first-floor space

Cosmetics department - 2,640 square feet of first-floor space

Housewares department - 1,848 square feet of second-floor space

Tools department - 792 square feet of second-floor space

Shoes department - 1,760 square feet of second-floor space

The company allocates 70% of total rent expense to the first floor and 30% to the second floor, and then allocates rent expense for each floor to the departments occupying that floor on the basis of space Occupied.

Determine the rent expense to be allocated to each department

Answer:

Step-by-step explanation:

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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The variable or factors that the unknown function depends on are referred to as the independent variables.

Everything that track in the study and what is impacted by it are both considered dependent variables. Depending on the independent variable, the dependent variable will change. Because it "depends" on the independent variable, it is known as a dependent variable. The dependent variable on other measurable variables As a result of an experimental modification of the independent variable or variables, these variables should change.

The amount of study one did, how much sleep one got the night before the test, or even how hungry he or she were can all affect your test result, which makes it a dependent variable. As an example, the test score might be a dependent variable.

Differential equations that have a constant power of one are known as linear differential equations.

A linear ordinary differential equation is what the given differential equation is.

The highest derivative that appears in the connection determines the order of a differential equation.

Consequently, the differential equation has an order of 1.

The variable or factors that the unknown function depends on are referred to as the independent variables.

As a result, in the above differential equation, t is independent and p is dependent variable.

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The complete question is as follows:

Answer:

\(b) 5^{\frac{1}{12} }\)

Step-by-step explanation:

∛5 = 5^1/3

⁴√5 = 5^1/4

Then:

∛5 / ⁴√5 = (5^1/3) / (5^1/4)

              = 5^(1/3 - 1/4)

1/3 - 1/4 = 4/12 - 3/12 = 1/12          

Then:

5^(1/3 - 1/4) = 5^1/12

= \(5^{\frac{1}{12} }\)

**** The symbol ^ means that the expression on the right is an exponent.

Example:

5^1/3

means  1/3 is an exponent,

The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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Answer: (1,2)

Step-by-step explanation: In order to get 3/4 the distance, you have to use midpoint formula. Use midpoint formula to get the midpoint between M and N. In this case it would be the square root of ((x1+x2/2),(y1+y2/2)) (you can google this if it is not clear because of formatting). Once you get the midpoint of M and N, should be (-1,4) and we will call this point Z for reference, you find the midpoint of the original midpoint (point Z aka (-1,4) in our case) and point N. In doing this, your math should come out to the new point that is 3/4 to the distance. This point should be (1,2) if I am not mistaking.

Answer:

68.67

Step-by-step explanation:

Estimate 63% of 109

Change 63% to a decimal by locating the decimal which is after the 3 in 63 and move the two places to the left.  So 63% as a decimal is .63

Now multiply      .63 × 109

                       =   68.67

The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

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Answer:

50000

Step-by-step explanation:

Using

\(P(percentage) \times CP(cost \: price) = Sales \: Tax\)

Putting the given values

P × 25000 = 1750

\(P = \frac{1750}{25000} \)

\(P = 0.07 \times 100\)

\(P = 7\%\)

Now

For purchase price of a new car.

\(P \times CP=Sales \: Tax\)

\(7 \times CP = 3500\)

\(CP = 50000\)

Hope it helps you, any confusions you may ask!

No, someone else cannot claim YOU as a dependent, A taxpayer can't claim a dependent if they are a dependent themselves.

Dependency status in a tax return refers to whether or not someone can be claimed as a dependent on another person's tax return. The Internal Revenue Service (IRS) has specific rules for determining a person's dependency status, which can impact their tax liability and the amount of tax refund they may receive.

Generally, a person can be claimed as a dependent if they meet certain criteria, such as being a child under the age of 19 (or under 24 if a full-time student), or a relative who lives with the taxpayer and earns less than a certain amount of income. The taxpayer claiming the dependent must provide more than half of their support during the tax year.

If someone is claimed as a dependent on another person's tax return, they cannot claim a personal exemption on their own tax return. The person claiming the dependent may be eligible for certain tax benefits, such as the child tax credit or the earned income tax credit, which can help reduce their tax liability. It's important to accurately determine your dependency status to avoid any errors on your tax return.

Yes, someone else can claim another person as a dependent on their tax return if that person meets the requirements to be considered a qualifying child or qualifying relative. The IRS provides specific rules for determining if someone qualifies as a dependent. The person claiming the dependent must provide more than half of the dependent's support during the year and the dependent's gross income must be below a certain threshold.

The relationship between the taxpayer and the dependent also matters. Qualifying children must be related to the taxpayer in a specific way, such as a child, stepchild, sibling, or niece/nephew, and must meet certain age and residency requirements. Qualifying relatives can be related to the taxpayer in other ways, such as grandparents, aunts/uncles, or unrelated individuals who live with the taxpayer, but must also meet specific requirements related to support and income.

It is important to note that the person being claimed as a dependent must not file a joint return with their spouse unless it is only to claim a refund, and they must also not have filed a return claiming themselves as a dependent.

Then for someone to claim another person as a dependent on their tax return, several requirements must be met, including:

1. Relationship: The person being claimed must be a qualifying child or a qualifying relative of the taxpayer.

2. Support: The taxpayer must provide more than half of the support for the dependent during the year.

3. Income: The dependent cannot have gross income above a certain threshold.

4. Filing status: The dependent cannot file a joint return with their spouse unless it is only to claim a refund.

If all of these requirements are met, then someone else can claim the individual as a dependent on their tax return, and the individual would need to indicate that they are being claimed as a dependent when they file their own taxes.

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Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

Answer:She should plant 32 daisies.

Step-by-step explanation:4:2 can be expressed as 2:1 .

2+1 =3

48/3 = 16(value of one)

16 x 2 = 32

a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

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The approximate average rate of change, in bacterial cells per day, of the function from x = 0 to x = 3, to the nearest whole number is 17.

To calculate the average rate of change of the function f(x) using the given data points, we can use the formula:

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

where, a and b are the x values of the two points.

Using the given data points,

(0, 2): f(0) = 2

(3, 54): f(3) = 54

Substituting these values in the formula:

Average rate of change = \(\frac{54 -2}{3-0}\) = \(\frac{52}{3}\) ≈ 17.33

Rounding to the nearest whole number, the approximate average rate of change of the function from x = 0 to x = 3 is 17.

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The directional derivative D_u f(0, π/3) is equal to (-9√3/10) + (6/5).

To get the directional derivative of the function f(x, y) = 3(e^x) sin y at the point (0, π/3) in the direction of the vector v = <-6, 8>, follow these steps:       Compute the gradient of the function:
∇f(x, y) = (df/dx, df/dy) = (3(e^x) sin y, 3(e^x) cos y)
Evaluate the gradient at the given point (0, π/3):
∇f(0, π/3) = (3(e^0) sin(π/3), 3(e^0) cos(π/3)) = (3(1)(√3/2), 3(1)(1/2)) = (3√3/2, 3/2)
Normalize the direction vector v:
||v|| = √((-6)^2 + 8^2) = √(36 + 64) = √100 = 10
u = v/||v|| = (-6/10, 8/10) = (-3/5, 4/5)
Compute the directional derivative D_u f(0, π/3) by taking the dot product of the gradient at the given point and the normalized direction vector:
D_u f(0, π/3) = ∇f(0, π/3) · u = (3√3/2, 3/2) · (-3/5, 4/5) = (-3/5)(3√3/2) + (4/5)(3/2) = (-9√3/10) + (6/5)
So, the directional derivative D_u f(0, π/3) is equal to (-9√3/10) + (6/5).

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An equation of the plane through the point (-1, -5, 1) and perpendicular to the vector (5, 4, 2) can be -4x + 5y - 2z = 11.

First, the normal vector of the plane must be determined. The vector perpendicular to the given vector (5, 4, 2) is (-4, 5, -2).

Now, the equation of the plane can be determined using the given point and the normal vector. The standard form of the equation of a plane is Ax + By + Cz = D.

We can use the point (-1, -5, 1) and the normal vector (-4, 5, -2) to calculate the values of A, B, C, and D in the equation. To do this, we can use the point-normal form of the equation of a plane.

The point-normal form is (x - x1) × nx + (y - y1) × ny + (z - z1) × nz = 0. We can plug in the point and normal vector values into this equation to calculate A, B, C, and D.

Therefore, the equation of the plane is -4x + 5y - 2z = 11.

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Answer:

B

Step-by-step explanation:

(3,0)

The first coordinate is x, so go over 3

The second coordinate is y so go up 0

Answer:

lts answer is B

Step-by-step explanation:

3 is x-axis and o is y -axis