I don’t know how to do this help me

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \(\frac{3}{4}\) = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.

Explanation:

A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Additionally, if animals were used while conducting experiments, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. If a survey was used to collect data, the researcher should have ensured the survey was properly designed and administered to avoid any biases or errors. Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.

The scientific method requires researchers to conduct experiments in a transparent and objective manner. This means that the researcher should design experiments to test hypotheses, collect data systematically, and analyze data objectively. Any manipulation of data to support a hypothesis undermines the scientific method and is considered unethical. Researchers who intentionally manipulate data can be considered fraudulent and may face disciplinary action.

If animals were used in the experiment, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. Ethical guidelines ensure that animals are treated humanely, minimize their pain and discomfort, and maximize their welfare. Researchers who violate these guidelines can be considered fraudulent and may face disciplinary action.

If a survey was used to collect data, the researcher should have ensured that the survey was properly designed and administered to avoid any biases or errors. Surveys can be susceptible to various sources of error, including sampling errors, measurement errors, and non-response bias. Researchers who fail to address these sources of error can produce biased or invalid results, which can be considered fraudulent.

Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Debriefing allows participants to understand the purpose of the study, ask questions, and voice any concerns they may have. Participants who are not debriefed may feel deceived or harmed by the study, which can damage their trust in research and researchers.

In summary, researchers must adhere to ethical standards and maintain the integrity of their research. This includes avoiding data manipulation, following ethical guidelines for animal welfare, ensuring that surveys are properly designed and administered, and debriefing participants after completion of the study. Failure to do so can result in fraudulent research and harm to participants, animals, and the scientific community as a whole.

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The probability of randomly picking a black card or a card with a number greater than two from the given box is approximately 0.857 or 85.7%.

To calculate the probability, we need to determine the number of favorable outcomes and the total possible outcomes.

Favorable outcomes:

1. Black cards: There are four black cards in the box.

2. Cards with a number greater than two: There are two black cards numbered three and four in the box.

Total possible outcomes:

The box contains a total of seven cards (three red cards and four black cards).

By dividing the number of favorable outcomes by the total number of possible outcomes, we obtain the probability:

P(Black or Number > 2) = (Number of favorable outcomes) / (Total number of possible outcomes)

                      = (4 + 2) / 7

                      = 6 / 7

                      ≈ 0.857

Therefore, the probability of randomly picking a black card or a card with a number greater than two from the given box is approximately 0.857 or 85.7%.

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We are given an initial value problem in the form dx/dt = [−2.5 1.5; −1.5 0.5]x, with the initial condition x(0) = [3 -1]. Our task is to solve this initial value problem and express the solution in real form.

To solve the initial value problem dx/dt = [−2.5 1.5; −1.5 0.5]x, we need to find the eigenvalues and eigenvectors of the coefficient matrix. By calculating the eigenvalues, we find that λ1 = 1 and λ2 = -1. Next, we find the corresponding eigenvectors. For λ1 = 1, the eigenvector is v1 = [1 -1]. For λ2 = -1, the eigenvector is v2 = [3 1]. The general solution of the initial value problem is x(t) = c1 * exp(λ1 * t) * v1 + c2 * exp(λ2 * t) * v2, where c1 and c2 are constants.

Using the initial condition x(0) = [3 -1], we can solve for the constants c1 and c2. Substituting the values, we get [3 -1] = c1 * v1 + c2 * v2. By solving the system of equations, we find c1 = 2 and c2 = 1. Therefore, the solution of the initial value problem dx/dt = [−2.5 1.5; −1.5 0.5]x, with x(0) = [3 -1], is x(t) = 2 * exp(t) * [1 -1] + exp(-t) * [3 1]. This is the solution expressed in real form.

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Answer:

f(x) = (x+2)(x-1)(x-3)

Step-by-step explanation:

f(-2) = 0, f(1) = 0, f(3) = 0. Therefore, (x+2), (x-1) and (x+3) are the factors

The core general business principle presented in this topic is "Taking a holistic perspective in decision-making yields the best results."

Among the answer choices provided, the principle that stands out as a core general business principle is "Taking a holistic perspective in decision-making yields the best results." This principle emphasizes the importance of considering all relevant factors, stakeholders, and potential impacts when making business decisions. It recognizes that decisions made in isolation or based solely on a narrow perspective may not yield optimal outcomes.

Taking a holistic perspective means considering the interconnectedness and interdependencies within the business environment, including the social, economic, environmental, and ethical aspects. It involves considering the long-term implications and potential consequences of decisions, as well as the potential impacts on various stakeholders, such as customers, employees, suppliers, and the wider community. By taking a holistic perspective, organizations can make more informed and well-rounded decisions that align with their values, promote sustainability, and contribute to long-term success. It involves analyzing and synthesizing diverse information, seeking multiple perspectives, and understanding the broader context in which decisions are made.

While the other answer choices, such as "Walk the talk," "The customer rules," and "Exchange information for inventory whenever possible," may also reflect important principles in business, they are not as comprehensive or universally applicable as the principle of taking a holistic perspective in decision-making. The latter encompasses a broader approach that considers multiple dimensions of business operations and decision-making, ultimately leading to better overall outcomes.

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Answer:

False

True

True

True

Answer:

I believe the answer is true.

Step-by-step explanation:

Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3

Answer:

its true.

because BEDMAS.

^

|

B( bracket )

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

The closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

The closest point to y in the subspace w spanned by u1 and u2 can be found using the formula:

proj_w(y) = [(y dot u1)/(u1 dot u1)]u1 + [(y dot u2)/(u2 dot u2)]u2

where dot denotes the dot product.

Substituting the given values, we get:

proj_w(y) = [(112 + 92 - 22*(-1))/(22 + 22 + (-1)(-1))] [2 2 -1] + [(11(-1) + 93 + 224)/(11 + 33 + 4*4)] [-1 3 4]

= [14/9, 14/9, -7/9] + [0, 16/3, 14/3]

= [14/9, 46/9, 5/3]

Therefore, the closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

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The Solution:

The Multiples of 6:

The Multiples of 4:

The smallest number of the two lists is 12, so the Lowest Common Multiple of 6 and 4 is 12

Answer:

1. 8+n

2. 4g

3. 2x-5

4. 6/x

5. 3m +9

6. 7+(8-6)

7. If n = 3, 8 - n = 8 - 3

The answer is 5.

8. 18 / 9 = 2

The answer is 2.

9. If x = 4, ten 3x + 1 = 3(4) + 1 = 13

The answer is 13.

Thank you for posting your question. I hope you found you were after. Please feel free to ask me another.

Answer:

the scale factor used to create the image is 3

Answer:

The answer is 3

Step-by-step explanation:

I took the test and got it right :)

Answer:

95 degrees

Step-by-step explanation:

vertical opposite angles

A wheel that makes 30 revolutions per minute will make 0.5 revolutions per second.

To calculate the number of revolutions a wheel makes per second, we need to convert the given value of revolutions per minute into revolutions per second. There are 60 seconds in a minute, so we can divide the number of revolutions per minute by 60 to obtain the revolutions per second.

In this case, the wheel makes 30 revolutions per minute. Dividing 30 by 60 gives us 0.5, which means the wheel makes 0.5 revolutions per second. This calculation is based on the fact that the wheel maintains a constant speed throughout, completing the same number of revolutions within each unit of time.

Therefore, if a wheel is rotating at a rate of 30 revolutions per minute, it will make 0.5 revolutions per second.

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Answer:

247 cm^2

Step-by-step explanation:

Lateral surfaces area = 10x9 + 9x5 + 9x8 = 207 cm^2

Base area = area of 2 triangles = bxh/2 + bxh/2 = 10x4/2 + 10x4/2 = 40 cm^2

Surface Area is the sum of above = 207 + 40 = 247 cm^2

The following statement are true about the given function

Statements i,ii, and iv

Given Data

We have the following function to analyse

y = 3x

The following statement are true/false about the given function

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Answer:

I,II, and IV

Step-by-step explanation:

17 is the integer expressed in base 10.

Given that,

The base 7 representation of a positive integer is AB and its base 5 representation is BA, where A and B are digits from 1 to 4, inclusive.

We have to find what is the integer expressed in base 10.

We know that,

Base 7 representation of a positive integer AB.

Can be written as 7A+B in base 10.

Base 5 representation of BA can be written as 5B+A in base 10.

So, 7A+B= 5B+A

6A=4B

A=2/3B

Now, A and B must be in 1 to 4.

The digits between 1 and 4 who are 2/3 of another is 2 and 3.

A=2 and B=3

So,

Base 7 is 23

And Base 5 is 32

Base 7 is 23 is 17 of base 10.

And Base 5 is 32 is 17 of base 10.

A=17

Therefore, 17 is the integer expressed in base 10.

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A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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Explanation: For this question, we can use a drawing to represent the rotation and then another draw to represent the reflection after the rotation.

Step 1: Let's visualize the rotation counter-clockwise first

Step 2: Now let's represent the reflection across a vertical line

Final answer: As we can see the final shape is identical to trapezoid b so the final answer is trapezoid B

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Step-by-step explanation:

\(\sqrt{x^2-6x + 9} = \sqrt{(x - 3)^2}= x - 3\)

The dimensions of the rectangle that will allow for the most economical fence to be built is 50 feet and 25 feet in length and width respectively.

Given in the question,

Area = 1250 ft²

The three sides cost $3 per foot, and the fourth side costs $9 per foot.

Let x and y be the length and width of the rectangle.

Because the area is 1250 ft², therefore

xy = 1250, or

y = 1250/x            

Case 1: Three sides are (x,y,x) and the 4-th side is y.

The cost is

C = 3(2x +y) + 9y

  = 6x + 12y

  = 6x + 12(1250/x)

  = 6x + 15000/x

For C to be minimum, C' = 0. That is

6 - 15000/x² = 0

x² = 15000/6

x =  50 ft, y = 1250/50 = 25 ft

C = 6(50) + 15000/(50²) = $600

Case 2: Three sides are (y,x,y) and the 4-th side is x.

The cost is

C = 3(x + 2y) + 9x

   = 12x + 6y

   = 12x + 6(1250/x)

   = 12x + 7500/x

For C to be minimum, C' = 0.

12 - 7500/x² = 0

x² = 7500/12 = 625

x = 25 ft, y = 50ft

C = 12(25) + 7500/25 = $600

Thus, the Dimensions will be 25 feet and 50 feet.

Question:

A fence is to be built to enclose a rectangular area of 1250 square feet. the fence along three sides is to be made of material that costs ​$3 per foot. the material for the fourth side costs ​$9 per foot. find the dimensions of the rectangle that will allow for the most economical fence to be built.

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Jenny saves £0.22 in total. To calculate the savings, we first need to determine the profit made by selling the DVD cases.

Jenny sells each case for 11 pence, and since she bought a full box, we need to find the number of cases in a box. Let's assume there are x cases in a box. Since Jenny bought the box for £2.43, we can set up the equation: 11 pence × x = £2.43.

To solve for x, we divide both sides of the equation by 11: x = £2.43 ÷ 11 = £0.2218 (rounded to four decimal places).So, there are approximately 22.18 cases in a box. Since we can't have a fraction of a case, we consider that there are 22 cases in a box.

Now, let's calculate the profit made from selling the cases. Jenny sells each case for 11 pence, and she has sold 22 cases, resulting in a profit of £0.22. Since Jenny saves two-thirds of the profit, her savings would be two-thirds of £0.22. To find this, we multiply £0.22 by 2/3.

(£0.22) × (2/3) = £0.1467 (rounded to four decimal places). Therefore, Jenny saves approximately £0.15 (rounded to two decimal places).

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Simplifying

Reorder the terms:

Combine like terms: 4x + -1x = 3x

Solving

Solving for the variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

Combine like terms: 12 + -12 = 0

Combine like terms: -15 + -12 = -27

Divide each side by '3'.

Simplifying

We have: 4x + 12 - x = -15

<=> 4x - x = -15 - 12

<=> 3x = - 27

<=> x = -27/3 = -9

Answer: x = -9

Ok done. Thank to me :3

The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.

What is the distance formula?

The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².

We are given two points as (2,3) and (4,-3).

So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3

Now, substituting these values in the distance formula, we get

d = √(2 - 4)² + (3 + 3)²

Hence, the expression that will give the distance between points is option D.

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Full question has been attached below

Answer:

sorry just need point sorryyy

Answer:

There is no graph, but unless the x value of the live repeats, yes, it is a function.

Step-by-step explanation:

Answer:

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.