help me with this please ​

The answer to the given linear programming problem, which is solved using the simplex method, is as follows:

The optimal solution to minimize the objective function Z = X1 + 2X2 is X1 = 20 and X2 = 0, with the objective function value Z = -100.

To solve the problem, we'll first convert the inequalities to equations by introducing slack and surplus variables. Then we'll set up the initial simplex tableau and iterate through the simplex algorithm until we reach an optimal solution.

⇒ Convert the inequalities to equations:

A. X1 + 3X2 + S1 = 90 (where S1 is the slack variable)

B. 8X1 + 2X2 + S2 = 160 (where S2 is the slack variable)

C. 3X1 + 2X2 + S3 = 120 (where S3 is the slack variable)

D. X2 + S4 = 70 (where S4 is the surplus variable)

⇒ Set up the initial simplex tableau:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

----------------------------------------------

Z       | -1 | -2 |  0 |  0 |  0 |  0 |  0  |

----------------------------------------------

S1      |  1 |  3 |  1 |  0 |  0 |  0 | 90  |

S2      |  8 |  2 |  0 |  1 |  0 |  0 | 160 |

S3      |  3 |   2 |  0 |  0 |  1 |  0 | 120 |

S4      |  0 |   1 |  0 |  0 |  0 | -1 | 70  |

⇒ a) Select the most negative coefficient in the Z row, which is -2. Choose the corresponding column as the pivot column (X2 column).

b) Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 70/1 = 70. Thus, the pivot row is S4.

c) Perform row operations to make the pivot element (1 in S4 row) equal to 1 and eliminate other elements in the pivot column:

  - Divide the pivot row by the pivot element (1/1 = 1).

  - Replace other elements in the pivot column using row operations:

    - S1 row: S1 = S1 - (1 * S4) = 90 - 70 = 20

    - Z row: Z = Z - (2 * S4) = 0 - 2 * 70 = -140

    - S2 row: S2 = S2 - (0 * S4) = 160

    - S3 row: S3 = S3 - (0 * S4) = 120

d) Update the tableau with the new values:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

----------------------------------------------

Z       | -1 |  0 |  0 |  0 |  2 | -2 | -140|

----------------------------------------------

S1      |  1 |  3 |  1 |  0 |  

0 |  0 | 20  |

S2      |  8 |  2 |  0 |  1 |   0 |  0 | 160 |

S3      |  3 |  2 |  0 |  0 |   1 |  0 | 120 |

S4      |  0 |  1 |  0 |  0 |   0 | -1 | 70  |

e) Repeat steps a to d until all coefficients in the Z row are non-negative.

  - Select the most negative coefficient in the Z row, which is -1. Choose the corresponding column as the pivot column (X1 column).

  - Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 20/1 = 20. Thus, the pivot row is S1.

  - Perform row operations to make the pivot element (1 in S1 row) equal to 1 and eliminate other elements in the pivot column.

  - Update the tableau with the new values.

f) The final simplex tableau is:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

----------------------------------------------

Z       |  0 |  0 |  0 |  0 |  1 | -3 | -100|

----------------------------------------------

X1      |  1 |  3 |  1 |  0 |  0 |  0 | 20  |

S2      |  0 | -22 | -8 |  1 |  0 |  0 | 140 |

S3      |  0 | -7 | -3 |  0 |  1 |  0 | 60  |

S4      |  0 |  1 |  0 |  0 |  0 | -1 | 70  |

⇒ Read the solution from the final tableau:

The optimal solution is X1 = 20 and X2 = 0, with the objective function value Z = -100.

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Answer:

5x-6=29

Step-by-step explanation:

Well 5 times an unknown number is 5x and then it gets decreased by 6 so 5x-6 and it equals 29.  

Answer:

Answer: A, (3x+5)(x+7)

Step-by-step explanation:

3x*x = 3x^2

3x*7=21x

5*x= 5x

5*7=35

Then, Combine like terms.

21x+5x= 26x

3x^2+26x+35

And that's it, pretty simple.

[tex]\huge \text{Answer:}[/tex]

3,000 Minutes is your answer.........

Step-by-step explanation:

hyy.................

Answer:

Step-by-step explanation:

Using one given point, we get the slope:

Point (12, 3)

Point (-2,-5)

Point (-3, 1)

Point (1, 15)

Point (5,-2)​

Answer:

answer in picture

Step-by-step explanation:

Find the unit rate:

330 miles / 10 gallons = 33 miles per gallon.

Multiply miles per gallon by number of gallons:

33 x 55 = 1,815 total miles.

This recurrence equation represents the relationship between the current output bit and the previous output bits in the Fibonacci LFSR with the feedback structure 100101.

To find a recurrence equation satisfied by the output sequences of the Fibonacci LFSR with feedback structure 100101, we need to analyze the feedback connections and determine the relationship between the current output bit and previous output bits.

The Fibonacci LFSR with feedback structure 100101 has a shift register with 6 stages (denoted as S0, S1, S2, S3, S4, S5), where S0 is the rightmost stage. The feedback taps are at positions S5, S2, and S0.

Let's denote the current output bit at each stage as O0, O1, O2, O3, O4, and O5, respectively.

The recurrence equation for the Fibonacci LFSR can be found by considering the feedback connections:

O0 = S0

O1 = S1

O2 = S2 ⊕ S0

O3 = S3

O4 = S4 ⊕ S2

O5 = S5 ⊕ S2 ⊕ S0

In terms of the output bits, the recurrence equation can be written as:

O_n = O_{n-1} + O_{n-2} + O_{n-5}

Where O_n represents the nth output bit in the sequence.

This recurrence equation represents the relationship between the current output bit and the previous output bits in the Fibonacci LFSR with the feedback structure 100101.

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Answer:

500,000

Step-by-step explanation:

1 liter is a thousand milliliters

Answer:

0

Step-by-step explanation:

Answer:

(- 5 , 6)

Step-by-step explanation:

If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.

A graph is translated k units vertically by moving each point on the graph k units vertically.

Initially the point A is at (5,1)

A is translated 5 units up and 10 units to the left.

Left and right side describes the x axis of translation and up , down describe for y axis

(5-10, 1+5)

(-5,6)

Hence, If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).

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Mr. Alvarez can make a total of 18 complete pillows with 12.5 yards of fabric.

To determine the number of complete pillows that can be made with 12.5 yards of fabric, we need to divide the total fabric by the amount of fabric required for each pillow.

Each pillow requires 2/3 of a yard of fabric.

To calculate the number of complete pillows, we divide the total fabric available by the fabric required per pillow:

Number of pillows = Total fabric / Fabric required per pillow

Number of pillows = 12.5 yards / (2/3) yards

To divide by a fraction, we multiply by its reciprocal:

Number of pillows = 12.5 yards * (3/2) yards

Calculating this, we have:

Number of pillows = (12.5 * 3) / 2

Number of pillows = 37.5 / 2

Number of pillows = 18.75

Since we can't have a fraction of a pillow, we need to round down to the nearest whole number ≈ 18

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Answer:

Step-by-step explanation:

Let d represent the amount David has. Then Heather has d+6 and Kevin has 2d. The sum of these amounts is ...

  d +(d+6) +2d = 90

  4d = 84

  d = 21 . . . . . .  David's amount

  d+6 = 27 . . .  Heather's amount

  2d = 42  . . .  Kevin's amount

Answer:

6 tiktoks

Step-by-step explanation:

the expression is:

y = 200 + 12t, where y is the total amount she earned and t is the amount of tiktoks she made

to solve:

272 = 200 + 12t

72 = 12t

6 = t

can i get a thanks and brainliest please?

Answer:

The percent of the days in 2020 has passed at the end of the last day of September is:

Step-by-step explanation:

To identify the percent of the days in 2020 has passed at the end of the last day of September, first, you must add the days in each month of 2020:

Days passed= 31+29+31+30+31+30+31+31+30= 274 days.

How you know, a leap year has 366 days, so, you must divide the days until the last day in September (274) in the total days in a leap year, also you must multiply this value by 100 to obtain a percentage:

So, the percentage is 74.86% or 74.9%, a value that if you approach it would be 75% equally.

Answer:

Zadanie 5.

Zaznacz na mapie

czerwoną linią granice

państwa, w którym doszło

do pierwszych wystąpień

podczas Wiosny Ludów.he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he he heUsuwanie skopiowanego tekstu po 6 godzinachPrzypnij skopiowane fragmenty tekstu, aby zapobiec ich usunięciu w ciągu 6 godz.Read the task below and write the email. Your

email should be 50 to 120 words, not including

the words provided a

Imagine you've got a new British friend called

Joshua. Write an email to him. In your email:

• introduce yourself (age town, class at school)

describe your room or your favourite things

• describe your family and your best friend or

group of friends

000

To: Joshua

Subject: All about me!

Hi Joshua,

I'm writing to tell you all about me. My name's ...Skopiowany tekst będzie automatycznie wyświetlany tutajPrzesuń wycinki, aby je usunąć ten komentarz do artykułu o tym nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ma problemu z tym że nie ZhhhsjkihygygvbaoiusbhusbhbjiytsbjoskiusbvftsS。肖伊。ffsbjajuyscysvusbsiabs

The answer is (B). Erik offers $2,700 for the motorcycle.

Original price of motorcycle = $3,600

Erik's offer = ¾ * $3,600 = $2,700

Here is the explanation in detail:

1. The original price of the motorcycle is $3,600.

2. Erik makes an offer equal to ¾ of the original price.

3. ¾ of $3,600 is $2,700.

4. Therefore, Erik offers $2,700 for the motorcycle.

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Answer:

37.6

Step-by-step explanation:

r = 6 cm

circumfrence = 2 x 3.14 x 6

= 12 x 3.14

approx 37.6 cm

Answer: 37.68

Step-by-step explanation:

Answer:

Please make me as brain list and i am new in this app

Step-by-step explanation:

a)  (((x3)+((6•(x2))•y))+(12x•(y2)))+23y3

b) x2+y2+z2-2xy+2xz-2yz

=x^2+y^2+z^2-2xy+4-2yz

=x^2+y^2+z^2-2xy+4-2yz

Answer:

12,000 i relly took the test gat it righ

Step-by-step explanation:

mark me brainlest pliz

The height of the conical bottle is 16 cm.

Let's denote the height of the conical bottle as h.

When the bottle is in its regular position, with the base resting on the flat surface, the water level is 8 cm from the vertex. This means that the distance from the water level to the base is 8 cm.

When the bottle is turned upside down, the water level is 2 cm from the base. In this position, the distance from the water level to the vertex is h - 2 cm.

We can set up a proportion based on the similar triangles formed by the original and inverted positions of the bottle:

(h - 2) / 8 = h / (h - 8)

To solve this proportion, we can cross-multiply:

(h - 2)(h - 8) = 8h

Expanding the equation:

h^2 - 10h + 16 = 8h

Rearranging the terms:

h^2 - 18h + 16 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. In this case, let's use factoring:

(h - 2)(h - 16) = 0

This equation has two possible solutions:

h - 2 = 0 --> h = 2

h - 16 = 0 --> h = 16

Since the height of the bottle cannot be 2 cm (as the water level would be at the base), the height of the bottle must be 16 cm.

Consequently, the conical bottle has a height of 16 cm.

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The two triangles are congruent by the Side-Side-Side (SSS) congruence theorem.

To determine the congruence of two triangles, we need to compare their corresponding sides and angles. In this case, let's consider two triangles: Triangle ABC and Triangle DEF.

Given:

a = 111, c = 36, x = 9 for Triangle ABC

d = 111, f = 36, y = 9 for Triangle DEF

We can observe that the corresponding sides of the two triangles have the same lengths. Side AB corresponds to side DE (a = d = 111), side BC corresponds to side EF (c = f = 36), and side AC corresponds to side DF (x = y = 9).

Since all three pairs of corresponding sides are congruent, we can conclude that the two triangles are congruent. By the Side-Side-Side (SSS) congruence theorem, if the lengths of the corresponding sides of two triangles are equal, then the triangles are congruent.

Therefore, based on the given information, Triangle ABC and Triangle DEF are congruent by the SSS congruence theorem.

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Answer:

14units

Step-by-step explanation:

Given

Initial point A = -2 (since it is on negative 2)

Other point B = 12 (lying in positive 12)

To get the distance between point A and B, we will use the expression:

AB = point B - point A

Substitute the given point in the expression

AB = 12-(-2)

AB = 12+2

AB = 14

Hence the distance between points A and B in the number line is 14units

The product of matrices A and B, denoted as C = AB, is determined by performing matrix multiplication using the given matrices. In this case, A is a 2x1 matrix and B is a 1x3 matrix. The resulting matrix C will have dimensions 2x3.

To find the product of matrices A and B, we perform matrix multiplication by multiplying corresponding elements and summing the results.

The dimensions of the matrices must be compatible for multiplication, meaning the number of columns in the first matrix must match the number of rows in the second matrix.

Given matrices A and B:

A = [9 1]

B = [2 6 7]

To calculate C = AB, we multiply each element of A with the corresponding element in B, and then sum the results. The resulting matrix C will have dimensions 2x3.

C = [92 + 13 96 + 16 97 + 15]

Calculating each element of C, we have:

C = [18 + 3 54 + 6 63 + 5]

[21 60 68]

Simplifying, we get:

C = [21 60 68]

Therefore, the product of matrices A and B, denoted as C = AB, is the matrix:

C = [21 60 68]

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Answer:

Step-by-step explanation:

100% means all of 40.

So 100% of 40 is 40

Answer:

40

Step-by-step explanation:

Of means Multiply.

Multiply.

100% * 40 = 40

~I hope I helped you! :)~

Answer:

x = 1.14

x = -1.47

Step-by-step explanation:

Use the quadratic formula.

x =  

-b ± √b2 - 4ac /2a

1 ± 6 √61  = x

Step-by-step explanation:

u dj juijjjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk la llamo y rodillos de la reunión de hoy y rodillos de la reunión de hoy y rodillos de la reunión de hoy

To determine whether the set [tex]$\{P_1, P_2, P_3\}$\\[/tex] is linearly independent in [tex]$P_2$[/tex], we construct a linear combination of the polynomials and set it equal to the zero polynomial. If the only solution to this equation is the trivial solution, then the set is linearly independent.

Let's construct the linear combination of the polynomials [tex]$P_1$[/tex], [tex]$P_2$[/tex] and [tex]$P_3$[/tex] as follows:

[tex]$c_1P_1 + c_2P_2 + c_3P_3 = 0$[/tex]

where [tex]$c_1$[/tex], [tex]$c_2$[/tex] and [tex]$c_3$[/tex] are constants. Substituting the given expressions for [tex]$P_1$[/tex], [tex]$P_2$[/tex] and [tex]$P_3$[/tex], we have:

[tex]$(c_1(2 + x + 3x^2 + 4x^3)) + (c_2(4 + 3x + 2x^2 + x^3)) + (c_3(1 + 2x + 3x^2 + 4x^3)) = 0$[/tex]

Expanding and combining like terms, we obtain:

[tex]$(2c_1 + 4c_2 + c_3) + (c_1 + 3c_2 + 2c_3)x + (3c_1 + 2c_2 + 3c_3)x^2 + (4c_1 + c_2 + 4c_3)x^3 = 0$[/tex]

For this equation to hold for all values of $x$, the coefficients of each term must be zero. Therefore, we have the following system of equations:

[tex]$2c_1 + 4c_2 + c_3 = 0$[/tex]

[tex]$c_1 + 3c_2 + 2c_3 = 0$\\$3c_1 + 2c_2 + 3c_3 = 0$\\$4c_1 + c_2 + 4c_3 = 0$\\[/tex]

We can represent this system of equations in matrix form as [tex]$AX = 0$[/tex], where A is the coefficient matrix and X is the column vector [tex]$\begin{bmatrix} c_1 \\ c_2 \\ c_3 \end{bmatrix}$[/tex]. To determine if there is a non-trivial solution, we need to find the determinant of the coefficient matrix A.

Calculating the determinant, we find that it is non-zero, indicating that the only solution to the system of equations is the trivial solution [tex]($c_1 = c_2 = c_3 = 0$)[/tex]. Therefore, the set [tex]$\{P_1, P_2, P_3\}$[/tex] is linearly independent in [tex]$P_2$[/tex].

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Answer:

I don't understand sorry

Step-by-step explanation: