Please help me on this!

Answer:

b is corrcet

Step-by-step explanation:

Answer:

 y = 2/3x -1

Step-by-step explanation:

The line crosses the y-axis at -1, so that is the value of the y-intercept.

The next marked point to the right is 2 units up and 3 units over. That means the slope of the line is ...

  m = rise/run = 2/3

Putting the values of slope and intercept in the slope-intercept form of the equation for the line, we have ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = 2/3x -1 . . . . line with slope 2/3 and y-intercept -1

Answer:

- 16

Step-by-step explanation:

following the rules as set out in PEMDAS

4² - 2(3 × 5 + 1) ← evaluate exponent term

= 16 - 2(3 × 5 + 1) ← evaluate multiplication inside parenthesis

= 16 - 2(15 + 1)

= 16 - 2(16) ← perform the multiplication

= 16 - 32 ← evaluate subtraction

= - 16

A mil is a unit of measurement commonly used in engineering and manufacturing, So the answer is False

A mil is a unit of measurement commonly used in engineering and manufacturing. It is equal to one thousandth of an inch (0.001 inch) or 25.4 micrometers. It is not a physical object with a diameter of one mil. Instead, it represents a measurement of length.

The term "mil" is derived from the Latin word "mille," meaning thousand. In the context of measurement, it refers to one thousandth of an inch. The use of mils allows for precise and convenient measurements in applications such as machining, printing, and electronics. For example, when measuring the thickness of a sheet of material, one can express it in mils rather than using fractional or decimal inches. The diameter of a mil is not applicable since it is a unit of length, not a physical object.

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Answer:

1. 20

2. 35

3. 20

4. 20

Step-by-step explanation:

Are u serious..... ඩඩඩඩඩඩඩ

Answer:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2) hope this help btw your welcome

Answer:

The answer is really option A. x^2 - x +2-5/x-1

Step-by-step explanation:

I just took the test and got it right :)

The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

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To find the value of the test statistic for testing the difference in median test scores between the two programs, we need more information about the specific test being used.

The value of the test statistic depends on the statistical test being employed to compare the median test scores. There are several tests available for this purpose, such as the Mann-Whitney U test or the Wilcoxon rank-sum test. The specific formula for the test statistic varies depending on the chosen test.

To calculate the test statistic, you would typically follow these steps:

Define the null hypothesis (H0) and alternative hypothesis (Ha) for your test. For example, H0: There is no difference in the median test scores between the two programs, and Ha: There is a difference in the median test scores.

Choose the appropriate statistical test based on the assumptions of your data and the research question.

Collect the test scores for the two programs and rank them together. Assign ranks based on their relative positions, with the lowest score receiving a rank of 1 and ties receiving the average of the ranks they would have occupied.

Calculate the test statistic based on the chosen test. This involves applying the formula specific to the test being used.

Once you have calculated the test statistic, consult the corresponding distribution (e.g., the Mann-Whitney U distribution or the Wilcoxon rank-sum distribution) to determine the p-value associated with the test statistic.

Without knowing the specific test being used or having the necessary data, it is not possible to provide an exact value for the test statistic. Therefore, the main answer states that more information is required to find the value of the test statistic.

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The coefficients for the expression are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

To solve the given differential equation y' = xy using the power series substitution y = ∑ Cₙxⁿ, we will first find the derivative of y, then substitute both y and y' into the given equation, and finally determine the coefficients.

Step 1: Find the derivative of y.

y = ∑ Cₙxⁿ

y' = ∑ nCₙxⁿ⁻¹

Step 2: Substitute y and y' into the given equation.

∑ nCₙxⁿ⁻¹ = x ∑ Cₙxⁿ

Step 3: Match the coefficients on both sides of the equation.

For n = 1, C₁ = C₀.

For n = 2, 2C₂ = C₁ => C₂ = C₀/2.

For n = 3, 3C₃ = C₂ => C₃ = C₀/6.

For n = 4, 4C₄ = C₃ => C₄ = C₀/24.

For n = 5, 5C₅ = C₄ => C₅ = C₀/120.

For n = 6, 6C₆ = C₅ => C₆ = C₀/720.

So, the coefficients are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

A) 1. Factor x^2-2x-24

2. (x-6)(x+4)

3. Set the factors equal to 0. x-6=0, and x+4=0.

4. Solve for x. x-6+6=0+6, x=6. x+4-4=0-4, x=-4.

5. Solutions are x= 6, -4

B) x^2-11x+18=0

1. Factor x^2-11x+18

2. (x-9)(x-2)

3. Set factors equal to 0. x-9=0, and x-2=0.

4. Solve for x. x-9+9=0+9, x=9. x-2+2=0+2, x=2

5. Solutions are x=9, 2.

Step-by-step explanation:

The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.

To calculate the mean and standard deviation in Excel, you can use the following functions:

Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.

Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.

Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.

The Confidence Interval can be determined using the formula: E = Z * (σ / √n)

In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.

Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.

Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.

Now, we can set up the confidence interval using the mean and E value:

Confidence Interval = (mean - E, mean + E)

Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)

Confidence Interval = ($4.015, $5.205)

Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.

In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.

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Answer:

i think that the answer is b

hope it helps

Answer:

\(r^{6}\)

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(\frac{r^{9} }{r^{3} }\) = \(r^{(9-3)}\) = \(r^{6}\)

Answer:

16 oatmeal cookies

Step-by-step explanation:

2 dozens = 24. You would multiply 24 by 2/3, which is 48/3 but simplifed to 16. Hope this helps! :)

Answer:

2

Step-by-step explanation:

+3 to both sides then

/2 from both sides

Answer:

false

Step-by-step explanation:

hopefully that helps you

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer: $108

Step-by-step explanation:

what is 144 / 4 ? 36 = one meal ticket

what is 36 x 3 ? 108

each game ticket costs 108 dollars

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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Answer:

Step-by-step explanation:

Let the number be x then,

1) 4 * x + 11

2) 8 * (x + 7)

3) 2x - 1

4) x+ 3x

5) 5x + 12

6) 16 + 1 + x = 17 + x

7) 20 - ( x - 5) = 20 - x + 5 = 25 - x

8) x - 6 + 15 = x +9

Okay so the equation is 35x= 58 +12

Answer: -8/7

Step-by-step explanation: (-2)(4)/7

Answer:

y = 5/3x + 13/3

Step-by-step explanation:

slope intercept form is y = mx + b

to find the slope of a line using two points, you use the formula

m = (y2-y1)/(x2-x1)

(-2,1) (1,6)

(6 - 1)/(1 + 2)

5/3 is the slope

to solve for b, you take one of the points in the given and the slope (m) and solve for b

y = mx +b

y = 5/3x + b

6 = 5/3(1) + b

6 = 5/3 + b

18/3 = 5/3 + b

13/3 = b

now put the entire equation together

y = 5/3x + 13/3

Answer:

Step-by-step explanation:3 divided by 42=14

14*5=70

70+42=112

Answer:

60

Step-by-step explanation:

\(x + y + 30 + 30 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1) \\ \\ y + 30 = 90 \\ y = 60 \\ \\ x + 60 + 30 + 30 = 180 \\ x = 180 - 120 \\ x = 60\)

After answering the presented question, we can conclude that Therefore, the cubic function in standard form that has x-intercepts at (-1,0) (2,0) (4,0) and a y-intercept at (0,-24) is \(f(x) = 3x^3 - 21x^2\) \(+ 14x + 24.\)

In mathematics, a function appears to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

To find a cubic function in standard form, we can start by using the intercept form of the cubic equation:

\(f(x) = a(x-x1)(x-x2)(x-x3)\\f(x) = a(x+1)(x-2)(x-4)\\-24 = a(0+1)(0-2)(0-4)\\-24 = a(-8)\\a = 3\\\)

So the cubic function in standard form that satisfies the given conditions is:

\(f(x) = 3(x+1)(x-2)(x-4)\\f(x) = 3x^3 - 21x^2 + 14x + 24\\\)

Therefore, the cubic function in standard form that has x-intercepts at (-1,0) (2,0) (4,0) and a y-intercept at (0,-24) is \(f(x) = 3x^3 - 21x^2\) \(+ 14x + 24.\)

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Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

Answer:

3.) bottom left is 67, bottom right is 34, and top is 79.

4.) bottom is 130, top left is 30, and top right is 20.

(all of these are approxiate answers. They might be off slightly but should still equal 180)

The difference between amount of  two proportions is measured by D'.

D' is a metric for comparing differences between two proportions. It serves as a gauge for comparing how far apart the two proportions are from one another. It is determined by multiplying the difference between the two proportions by the sum of the standard deviations of the two proportions. The outcome is a measurement of how many standard deviations there are between the two proportions.

In statistical tests like the Chi-Square test or the Z-test, D' is most frequently employed to calculate the difference between two proportions. It is a helpful way to compare two proportions because it indicates whether or not the difference is statistically significant. Given that it takes into consideration the variability of each sample, it is especially helpful when comparing two proportions when the sample sizes are different. In data-mining applications, where it can be used to find correlations between two proportions, D' is also a helpful measure of the separation between two proportions.

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