Explain me that excersice step by step please3x((2x3)^-1x1/2^3)^-1x(3x2^2)^-2

This is the dual problem corresponding to the given primal LP problem.

To find the dual problem of the given linear programming (LP) problem, we need to follow these steps:

Step 1: Convert the LP problem to standard form.

The given LP problem is already in standard form.

Step 2: Identify the decision variables.

The decision variables in the primal problem are y1, y2, and y3.

Step 3: Write the objective function and constraints of the primal problem in matrix form.

The objective function: Minimize 6y1 + 3y3 can be written as:

Minimize c^T*y, where c = [6, 0, 3] and y = [y1, y2, y3]^T.

The constraints:

y1 - 3y3 = 30 can be written as:

Ay = b, where A = [1, 0, -3] and b = [30].

6y1 - 3y2 + y3 ≥ 25 can be written as:

Ay ≥ b, where A = [6, -3, 1] and b = [25].

3y1 + 4y2 + y3 ≤ 55 can be written as:

Ay ≤ b, where A = [3, 4, 1] and b = [55].

Step 4: Transpose the matrices A, c, and b.

Transpose A to obtain A^T, transpose c to obtain c^T, and transpose b to obtain b^T.

A^T = [1, 6, 3; 0, -3, 4; -3, 1, 1]

c^T = [6, 0, 3]

b^T = [30, 25, 55]

Step 5: Write the dual problem using the transposed matrices.

Maximize b^T * u, subject to A^T * u ≤ c^T and u unrestricted in sign.

The dual problem for the given primal problem is:

Maximize 30u1 + 25u2 + 55u3

subject to:

u1 + 6u2 + 3u3 ≤ 6

-3u2 + u3 ≤ 0

u1 + 4u2 + u3 ≥ 3

u1, u2 unrestricted in sign, u3 ≤ 0

This is the dual problem corresponding to the given primal LP problem.

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The answer is a. y=6 :)

Answer:

D. -3, -7

Step-by-step explanation:

Answer:

The number of solutions of an equation is dependent upon the total number of variables contained in it. Thus, the system of the equation has two or more equations containing two or more variables. It can be any combination such as 1. 2 equations in 3 variables 2. 6 equations in 4 variables, and so on Depending on the number of equations and variables, there are three types of solutions to an equation. They are 1. Unique Solution (One solution) 2. No solution 3. Infinite Solutions (Many solutions) The term “infinite” represents limitless or unboundedness. It is denoted by the letter ” ∞ “

Step-by-step explanation:

Hope it Helps?

Answer: no solution or none

Step-by-step explanation: this is really simple..

1. *DISTRIBUTE THE 2 with the numbers in parantesis* so it’s 6x-8

2. now the equation is 6x-8-6x= -4 (we see a positive and a negative 6 they both cancel each other out)

3. now it’s -8=-4 now add 8 to both sides that will make

0= -4 therefor there is no solution

Jill can select two different books in 15 different ways.

The number of ways Jill can select two different books can be calculated using the concept of

combinations

.

To find the number of combinations, we can use the formula nCr, which stands for "n choose r". In this case, "n" represents the total number of books Jill has, and "r" represents the number of books she will select.

In this question, Jill has 6 different books. On Monday, she will select one book, and on Wednesday, she will select a different book. So, we need to calculate the number of ways Jill can select 2 different books from a pool of 6.

Using the formula nCr, we can calculate the number of combinations as follows:

nCr = n! / (r!(n-r)!)

n! represents the factorial of a number, which is the product of all positive integers less than or equal to that number.

In this case, n = 6 and r = 2.

n! = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
r! = 2! = 2 x 1 = 2
(n-r)! = (6-2)! = 4! = 4 x 3 x 2 x 1 = 24

Now, we can substitute these values into the formula:

nCr = 720 / (2 x 24) = 720 / 48 = 15

Therefore, Jill can select two different books in 15 different ways.

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x1 and x2 are uncorrelated random variables.

Given that y1 and y2 are independent random variables with mean 0 and variance σ^2, and x1 and x2 are related to y1 and y2 as follows:

x1 = y1 and x2 = ρy1√(1-ρ^2)y2

We can find the mean and variance of x1 and x2 as follows:

Mean of x1:

E(x1) = E(y1) = 0 (since y1 has mean 0)

Variance of x1:

Var(x1) = Var(y1) = σ^2 (since y1 has variance σ^2)

Mean of x2:

E(x2) = ρE(y1)√(1-ρ^2)E(y2) = 0 (since both y1 and y2 have mean 0)

Variance of x2:

Var(x2) = ρ^2Var(y1)(1-ρ^2)Var(y2) = ρ^2(1-ρ^2)σ^2 (since y1 and y2 are independent)

Now, let's find the covariance between x1 and x2:

Cov(x1, x2) = E(x1x2) - E(x1)E(x2)

= E(y1ρy1√(1-ρ^2)y2) - 0

= ρσ^2√(1-ρ^2)E(y1y2)

= 0 (since y1 and y2 are independent and have mean 0)

Therefore, x1 and x2 are uncorrelated random variables.

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The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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Answer:

why is the graph so i can help you

Step-by-step explanation:

Answer:

1) x=2

2) n=0

3) x=-7

4) a=0

5) m=-1

6) p=1

7) p=-6

8) r=3

9) x=-4

10) x=0

Isaac is preparing refreshments for a party, and he has decided to make a smoothie that is both fruity and refreshing. Isaac will make 1.875 gallons of smoothie.

To make this delicious drink, he will mix 3 quarts of strawberry puree with 1 pint of lemonade and 1 gallon of water.

Now, to determine how much smoothie Isaac will make, we need to convert all the measurements into the same unit. Since we are using quarts, pints, and gallons, we need to convert them all into gallons to get the total volume of the smoothie.

First, we need to convert the 3 quarts of strawberry puree into gallons. Since there are 4 quarts in a gallon, 3 quarts is 0.75 gallons. Next, we need to convert the 1 pint of lemonade into gallons. Since there are 8 pints in a gallon, 1 pint is 0.125 gallons. Finally, we need to convert the 1 gallon of water into... well, a gallon!

So, adding up all the volumes of the ingredients, we have:

0.75 gallons (strawberry puree) + 0.125 gallons (lemonade) + 1 gallon (water) = 1.875 gallons

Therefore, Isaac will make 1.875 gallons of smoothie. This should be enough for a decent-sized party, but he might want to double or triple the recipe depending on the number of guests.

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The motion of a Ferris wheel, spinning about a fixed axis is rotational motion

a) Please find attached the height vs time graph of ONE cycle of Bert's motion on the ride, showing 5 Key points, including; The period, amplitude, the vertical shift, horizontal shift, the neutral axis

b) The equation to represent Bert's journey is h(t) = 6·sin(3.6·(t - 25)) + 7

The reason the above equation are correct are:

The given parameters of the Ferris wheel are;

Radius, r = 6 meters

The height of the axle above the ground, h = 7 metres

The time it takes to complete one revolution, T = 100 seconds

The level at which Bert enters the Ferris wheel = The lowest level

The time at which the ride starts = 0 seconds

a) The graph of a Ferris wheel is a graph sinusoidal function with the following details

The general form of the sinusoidal function is, y = a·sin(b·(t - h)) + D

Amplitude = The radius = 6 meters

The vertical shift, D = The elevation of the axle above the ground = 7 meters

The period, T = 360/b

∴ b = 360/T = 360/100 = 3.6

At t = 0, sin(b·(t - h)) = -1

Given that sin(-90) = -1

Therefore; (3.6·(0 - h)) = -90

π/50 = -π/2

-h = -25

∴ The horizontal shift, h = 25

The function of the Ferris wheel is y = 6·sin(3.6·(t - 25)) + 7

The graph of the function is created on MS Excel, using the above sinusoidal equation of the Ferris wheel

The 5 key points included in the graph are;

b) The appropriate equation of the sinusoidal function of the Ferris wheel is determined from the general sinusoidal function equation, y = a·sin(b·(t - h)) + D, as follows;

From part (a);

a = 6, b = 3.6, h = 25, and D = 7

The equation of the sinusoidal function h(t) to represent Bert's journey, is h(t) = a·sin(b·(t - h)) + D

Where;

h = The height of the Ferris Wheel

t = The time in seconds

a = The amplitude = 7

b = The 360/(The period) = 3.6

h = The horizontal shift = 25°

D = The vertical shift = 7 meters

The MOST appropriate equation of the sinusoidal function h(t) is therefore;

h(t) = 6·sin(3.6·(t - 25)) + 7

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Answer:

its 1

Step-by-step explanation:

Answer and Step-by-step explanation:

If my calculations are correct,

A. 17b = w  

B. 867 = w

C. 3 bottles for 51 fluid ounces of water

For B and C, just plug in the values.

For A, it was 17 ounces for every bottle (b), so that's why it is multiplied together. This is then equal to w, the total volume of water in fluid ounces.

Answer:

Step-by-step explanation:

a. w=17b

b. 1 bottle equals 17 fluid ounces. 17 times 51 is 867 fluid ounces

c. w=51

51=17b

divide by 17

b=3

3 bottles of water

The line has a -2 slope and a 0 intercept. The line's equation is y = -2x.

What is en equation?

Formula for Lines

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Answer:

Rafael will read 240 pages

Answer:

240

Step-by-step explanation:

Answer:

3x+12

multiply 3 times x the 3 times 4

Answering the question, we may state that incorrect. In conclusion, none of the claims are true based function  on the facts provided.

Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.  

It is difficult to compare g(x) with f(x) and establish whether they are the same function or not since g(x) is not provided. Option 1 is thus incorrect.

Setting x = 0 and figuring out y will reveal the y-intercept of f(x). Hence, f(0) = 3(0) - 2 = -2. This indicates that f(xy-intercept )'s is -2. No details are provided on the y-intercept of g. (x).

It is impossible to tell if f(x) has a sharper slope than g because f(x) has a slope of 3 and g(xslope )'s is unknown (x). As a result, choice 4 is also incorrect.

In conclusion, none of the claims are true based on the facts provided.

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Answer:

254.3

Step-by-step explanation:

A= 3.14*9^2=3.14*81=254.34

254.34 rounded is 254.3

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials when each trial has an equal chance of producing a particular result. The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.

Given,

Cash prize = $100

Probability of winning the game = 0.7

Using binomial distribution,

P(4 ≤X≤ 6) = P( X = 4) + P( X = 5) + P( X = 6)

P( 4 ≤ X ≤ 6)

= 1/4(0.6)⁴(0.4)⁴ + 10/5 (0.6)⁵(0.4)⁵ + 10/6 (0.6)⁶(0.4)⁶

= 0.1115 + 0.2007 + 0.2508

= 0.5630

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

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There are 2,540,160 strings of SALESPERSONS with no consecutive S's.

Explanation:

The number of r-combinations of a set of n distinct objects is C(n,r) = \(\frac{n!}{r!(n-r)!}\)

Multiplication principle : If one event can occur in m ways AND a second event can occur in n ways, then the number of ways that the two events can occur in sequence is then mn.

We want to place the 4S's in the string of the other letters such that there are not consecutive. Since there are 9 positions including spaces between two consecutive letters in the 8-letter string and two positions on either side of the string, we need to place 4 of the 9 positions to contain a single S each.

By the definition of combination, there are ⁹C₄ ways to select 4 of the 9 positions to place the S's (as the order of the positions is not important since a different order of the S's leads to the same string).

By the multiplication principle, there are then ⁹C₄. \(\frac{8!}{2}\) (divided by 2 since , in remaining 8 characters 2E are identical) possible strings of SALESPERSONS with no consecutive S's.

⁹C₄ . \(\frac{8!}{2}\) = \(\frac{9!}{4!(9-4)!}\) \(\frac{8!}{2}\)

           = \(\frac{9!}{4!.5!} . 20,160\)

           = 126.20,160

           = 2,540,160

Thus, there are 2,540,160 strings of SALESPERSONS with no consecutive S's.

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telegraph work without electricity as semaphore systems were used, including beacons, smoke signals, flag semaphore, and optical telegraphs for visual signals to communicate over distances of land.

Telegraph

it is a method of sending messages over long distances, using wires that carry electrical signals.

semaphore

A semaphore is a synchronization object that controls access by multiple processes to a common resource in a parallel programming environment. Semaphores are widely used to control access to files and shared memory.

electrical signals

An electrical signal is a voltage or current which conveys information, usually it means a voltage. The term can be used for any voltage or current in a circuit.

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Answer:

Step-by-step explanation:

Let length of the garden be ' x + 10 '

Let breath of the garden be ' x '

Area of the garden = 264 ft²

Now, let's find the breath of the garden 'x'

\(x(x + 10) = 264\)

Distribute X through the parentheses

\( {x}^{2} + 10x = 264\)

Move constant to left and change its sign

\( {x}^{2} + 10x - 264 = 0\)

Write 10x as a difference

\( {x}^{2} + 22x - 12x - 264 = 0\)

Factor out X from the expression

\(x(x + 22) - 12x - 264 = 0\)

Factor out -12 from the expression

\(x(x + 22) - 12(x + 22) = 0\)

Factor out X +22 from the expression

\((x + 22)(x - 12) = 0\)

When the products of factors equals to 0 , at least one factor is 0

\(x + 22 = 0\)

\(x - 12 = 0\)

Solve for X

\(x + 22 = 0\)

\(x = 0 - 22\)

\(x = - 22\)

Again,

\(x - 12 = 0\)

\(x = 0 + 12\)

\(x = 12\)

(The dimensions can't be negative. )

So, width = 12 ft

Now, let's find the length of the garden ' X + 10 '

\(x + 10\)

Plug the value of X

\(12 + 10\)

Calculate the sum

\( = 22 \: ft\)

Therefore,

Hope this helps..

Best regards!

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{10}\) = \(\frac{1}{2}\) ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5 → C

To simplify the expression −4(6x−3)+5(x−7), the distributive property will be applied. The simplified expression will be in the form Ax + B.

To determine the values of A and B, the coefficients of x and the constant terms will be combined.

−4(6x−3)+5(x−7) can be simplified as follows:

−24x + 12 + 5x − 35

Combining like terms, we have:

(-24x + 5x) + (12 − 35)

-19x - 23

So, the expression −4(6x−3)+5(x−7) is equal to -19x - 23, which means A = -19 and B = -23.

In this case, A represents the coefficient of x in the simplified expression, and B represents the constant term. The coefficients of x are combined by adding or subtracting them, and the constant terms are combined similarly.

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Answer:

they are limited because rulers only count up to 12 inches and scales can only weigh up to a certain weight depending on the scale being used.

Answer:

x = -1

Step-by-step explanation:

use the value of y and plug it in

2 = 2x + 4

-4. -4

-2 = 2x

divide each side by 2

-1 = x

you can plug it back in to see if it is right

Answer:

y=2x+4       y=2

2=2x+4

-4      -4

2x= -2

----   ----

2      2

x = -4

Step-by-step explanation:

CHECK:

step 1: Plug everything in.

2=2 correct   y=2x+4

                     2=2(-4)+4

                    2= -8+4

                    2= -4

                   divide 4 by 2

                     2= -2 correct      pls mark as brainliest!

Therefore , the solution of the given problem of inequality comes out to be  C, 3>t>-1, or -1<t<3.

Even without an equal sign, an inequality in mathematics is a line of connection or a group of integers. Equilibrium is always followed by equity. Inequality occurs when two values are not equal. Differences occur between equality and inequality. It was decided to use the most prevalent symbol because when factors aren't either identical or similar (). No matter that so few or many disparities there are, they can all be used to evaluate values.

Here,

so we believe the inequality depicts the shaded rectangle.

You must understand what the phrase means.

the point where the line ends at -1 is shaded in, indicating that values above -1 and including -1 are in the solution -1t. Since the line runs from -1 to 3, t is more than -1 and less than 3 so -1>t>3. However, there are special points.

the other point, which is at 3, is not coloured in, which means that points below 3 and outside of 3 are included, resulting in t<3 .

the answer is C, 3>t>-1, or -1<t<3.

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The complete question is "Which of the following inequalities does the graph represent?

A.3 ≤ t ≤ –1

B.3 ≤ t < –1

C.3 > t ≥ –1

D.3 ≥ t > –1

"

Organizational skills

Organizational skills and the ability to communicate effectively are crucial for a systems analyst who needs to work with individuals at all levels of an organization, manage conflicting user needs, and ensure that information is communicated clearly and efficiently. Interpersonal skills are important to a systems analyst who must work with people at all organizational levels, balance conflicting needs of users, and communicate effectively. The knowledge and skills in leadership and strategic management are essential for the creation and achievement of an organizational vision and strategy. These skills include effective communication, decision-making, and the ability to evaluate and measure success, as well as a deep understanding of the organization and its environment. Leadership and strategic management play a crucial role in the success of any organization. A strong and effective leader with a well-developed understanding of strategic management is essential for the creation and achievement of an organizational vision and strategy.

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