Does the table below represent a linear function? Why or why not? ​

The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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The 150 m³ cone that has a base radius of 5 meters indicates that the height of approximate length 5.73 meters is greater than the radius (length 5 meters)

The given parameters are;

Volume of the cone is V = 150 m³

Base radius of the cone, r = 5 m

The formula for finding the volume of a cone is; \(V = \mathbf{\frac{1}{ 3} \cdot \pi \cdot {r}^{2} \cdot h} \)

By plugging in the values for the volume, V and radius, r, of the cone, we have;

\(150 = \frac{1}{ 3} \times \: \pi \times {5}^{2} \times h\)

Which gives;

\( h = \mathbf{ \frac{150}{ \frac{1}{ 3} \times \: \pi \times {5}^{2} } \approx 5.73} \)

Therefore;

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Answer:

B.

Step-by-step explanation:

I just did it on edg

Answer:

B

Step-by-step explanation:

Did it on edge

Answer: the numbers are 24 and 56

The scale factor as a fraction in simplest form is 3.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given square on the right is a scaled copy of the square on the left.

So 18 is being multiplied by something to get to 54

So 18*x=54

Solve for x:

x = 54÷18

x = 3

The scale factor as a fraction in simplest form is 3

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Based on the information given and the figure provided, we can determine the following:

- Since the support at B is a roller, it can only provide a vertical reaction force. Therefore, the horizontal component of the reaction force at B is zero. This means that the shear force at point C is equal to the applied load F = 12 kips.
- To determine the internal normal force at point C, we need to draw a free body diagram of the section of the beam to the left or to the right of point C (it doesn't matter which side we choose). Let's assume we choose the left side, as shown in Figure 2.

(Figure 2)

- The internal normal force N is perpendicular to the cross-section of the beam, and it points away from the section we are considering. Since there are no external vertical forces acting on this section, the internal normal force must be equal in magnitude and opposite in direction to the sum of the vertical components of the applied load and the reaction force at B. Therefore, we have:

N = - (F + VB)

where VB is the vertical reaction force at B. To find VB, we can use the equation of equilibrium of forces in the vertical direction:

VB = F

since there are no other vertical forces acting on the beam. Substituting this into the equation above, we get:

N = - 2F = - 24 kips

Therefore, the internal normal force at point C is equal to -24 kips, and it points away from the section to the left of point C.
- To determine the bending moment in the beam at point C, we need to use the equation of equilibrium of moments about point C:

M = 0 = - (F)(8 ft) + (VB)(6 ft) + (N)(0 ft)

where the signs of the terms are based on the right-hand rule (clockwise moments are negative, counterclockwise moments are positive). Solving for M, we get:

M = - 48 kip-ft

Therefore, the bending moment in the beam at point C is equal to -48 kip-ft, which means that the beam is experiencing a clockwise bending moment at this location.
To determine the internal normal force, shear force, and bending moment at point C, we need to first analyze the beam with the given load and support conditions. Since we don't have a visual representation of the problem, I will assume a simply supported beam with the roller support at B, and point C is located just to the right of the F = 12 kip load.

1. Internal normal force at point C:
In a simply supported beam, the internal normal force is typically zero, as there are no axial loads acting on the beam. Therefore, the internal normal force at point C is 0 kip.

2. Shear force at point C:
To find the shear force at point C, we need to calculate the reactions at the supports. Let's assume the reaction at support A is R_A and at support B is R_B. Since the beam is in equilibrium, the sum of the vertical forces must be equal to zero:
R_A + R_B = 12 kip
Now, considering the moment equilibrium around point A, we get:
R_B * L = 12 kip * (L/2)
R_B = 6 kip
Since R_A + R_B = 12 kip, we find R_A = 6 kip as well.

The shear force at point C, just to the right of the 12 kip load, is equal to the reaction at support A, as there are no other loads between point A and point C:
Shear force at point C = R_A = 6 kip

3. Bending moment at point C:
To determine the bending moment at point C, we can use the moment equilibrium equation considering the section just to the right of point C:
M_C = R_A * x - F * (x - a), where x is the distance from support A to point C, and a is the distance from support A to the 12 kip load.

Since point C is just to the right of the 12-kip load, x = a. Therefore, the bending moment equation simplifies to:
M_C = R_A * x - F * 0
M_C = 6 kip * x

To find the exact value of the bending moment at point C, we need the value of x.

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Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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Answer: This question is not right

Step-by-step explanation:

What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.

1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800

There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's

Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question

Answer:

24 inches

Step-by-step explanation:

The perimeter would be 2l + 2w

2(5) + 2(7)

24 inches

Answer:

need picture of graph

Step-by-step explanation:

cannot see the picture of graph

Assuming the population standard deviation is known and the standard deviation of the sample mean x : option (b) is correct : the standard error of the sample mean decreases.

In probability theory, the central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution (i.e., a “bell curve”) as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Standard deviation is a calculation of the dispersion or variation in a set of numbers. If the standard deviation is a small number, it means the data points are close to their average value. If the deviation is large, it means the numbers are spread out, further from the mean or average.

There are different ways to write out the steps of the population standard deviation calculation into an equation. A common equation is:

                          σ = ([Σ(x - u)2]/N)1/2

Where:

σ is the population standard deviation

Σ represents the sum or total from 1 to N

x is an individual value

u is the average of the population

N is the total number of the population

A sample mean is an average of a set of data . The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages.

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a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

The five number summary of the given data is the minimum value = 20, maximum value = 100, median = 69.5, Q1 = 48, and Q3 = 89.

A number summary consists of five values: the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median. In order to find the five number summary,

1. Arrange the given data in ascending order. In the given case, the data is already in ascending order.

2. Determine the minimum and maximum value for the data set. In the given case, the minimum value is 20 and maximum value is 100.

3. Determine the median of the data set. The median refers to the middle number of the data set. If the data is an even set of numbers, the middle two terms are averaged. In the given case, there are 14 numbers, hence the median is an average of 7th and 8th term.

Median = (69 + 70)/2 = 69.5

4. Determine the lower quartile (Q1) and upper quartile (Q3). The Q1 and Q3 are the middle term of the lower and upper range respectively.

For the lower range, 20, 33, 43, 48, 64, 68, 69, the middle term is 48. Hence Q1 = 48.

For the upper range, 70, 72, 83, 89, 96, 99, 100, the middle term is 89. Hence Q3 = 89.

Note: The question is incomplete. The complete question probably is: Find the 5 number summary for the data shown. 20, 33, 43, 48, 64, 68, 69, 70, 72, 83, 89, 96, 99, 100

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

sorry I don't know.....

When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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Answer:

$85.2

Step-by-step explanation:

Answer:

85.2 dollar

Step-by-step explanation:

Tax is 5.2 because 80 times 0.065 is that, then you add them up

the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2

The  volume of a pentagonal prism is determined using the formula;

V = 5/2abh

where

Now, let's substitute the values given

Let the base be 'x'

The apothem is 2. 8 centimeters

height is 2x + 1

Volume = 5/ 2 × 2. 8 × x × (2x + 1)

Volume = 14/ 2 × x(2x + 1)

Volume = 7x(2x + 1)

Volume = 14x² + 7x

Thus, the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2

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A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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Theorem 3.1.9(d) states that if f(x) is a continuous function at c and g(x) is a continuous function at f(c), then the composition g(f(x)) is continuous at c.

To prove this theorem using the Sequential Characterization of Continuity, we need to show that for any sequence {x_n} that converges to c, the sequence {g(f(x_n))} converges to g(f(c)).

Let {x_n} be a sequence that converges to c. Since f(x) is continuous at c, by the Sequential Characterization of Continuity, we know that f(x_n) converges to f(c).

Similarly, since g(x) is continuous at f(c), by the Sequential Characterization of Continuity, we know that g(f(x_n)) converges to g(f(c)).

Therefore, we have shown that for any sequence {x_n} converging to c, the sequence {g(f(x_n))} converges to g(f(c)). This satisfies the conditions of the Sequential Characterization of Continuity, which proves that the composition g(f(x)) is continuous at c.

Hence, Theorem 3.1.9(d) holds true based on the Sequential Characterization of Continuity.

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Answer:

11

Step-by-step explanation:

Answer:

not 2

Step-by-step explanation:

other persons answer

Answer:

-3/1 or -3

Step-by-step explanation:

you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer

Answer:

-3/1

Step-by-step explanation:

i think thats the answer

Answer:

5 x 3 =

Step-by-step explanation:

Length times width.

The multiplication equation represented by the model is 5 x 3.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The model has 5 rows and 3 columns shaded. The multiplication equation will be written below,

Multiplication equation = 5 x 3

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In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

x = 47/10

Step-by-step explanation:

Step 1: Write equation

51 - 14x = 4 - 4x

Step 2: Solve for x

Answer:

\(\boxed {x = \frac{47}{10}}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(51 - 14x = 4 - 4x\)

-Take \(4x\) and add it to \(-14x\):

\(51 - 14x + 4x = 4 - 4x + 4x\)

\(51 - 10x = 4\)

-Subtract \(51\) to both sides:

\(51 - 51 - 10x = 4 - 51\)

\(-10x = -47\)

-Divide both sides by \(-10\):

\(\frac{-10x}{-10} = \frac{-47}{-10}\)

\(\boxed {x = \frac{47}{10}}\)

So, the value of \(x\) is \(\frac{47}{10}\).

Answer:

$0.39 per ounce of peanut butter

Step-by-step explanation:

per ounce is divided by 10

hope that helped!

Answer:

1). (B) ; 2). (A) ; 3). (C)

Step-by-step explanation:

1). { - 4, - 1, 0, 4 }

2). { - 5 }

3). m = 0