Please help me will mark brainliest

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Step-by-step explanation:

use substitution method so it will now look like

8x + 5(-4x) = 24

8x + (-20x) = 24

-12x = 24 (divide both sides by 12)

-x = 2 (multiply both sides by negative 1)

x = -2

substitute to find y

y= -4(-2)

=8

Answer:

\(x=-2\\y=8\)

Step-by-step explanation:

\(8x+5y=24\\y=-4x\)

We already have y in terms of, so the easiest way to do is by plugging that value in the first equation.

\(8x+5y=24\\8x+5(-4x)=24\\8x-20x=24\\-12x=24\\x=\frac{24}{-12} \\x=-2\)

After having found the value of x, replace it in the second equation to find y.

\(y=-4(-2)\\y=8\)

Answer:

28

Step-by-step explanation:

To find the area of a rectangle we multiply two edges together.

since we are looking for the surface area we are actually going to be finding 6 different areas and adding them together (since there are 6 sides to a rectangle)

ok so sides 1 and 2, the edges on the left and right will be equal, and then the four sides in the middle are all going to be equal

2(1x2) + 4(3x2) = 4 + 24 = 28

A side of the cube is 14 inches.

The expression to find the amount of glass needed to make the aquarium is

Hence the answer is

Answer:

true

explanation:

How can you tell if a 3D shape is a Platonic solid?

A Platonic Solid is a 3D shape where:

1. each face is the same regular polygon.

2. the same number of polygons meet at each vertex (corner)

Answer:

x=200

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

200/5-30=10

The expression as given above: "−c f(x, y) ds = − c f(x, y) ds" seems to be true.

Both expressions, the left-hand side, −c f(x, y) ds and the right-hand side, − c f(x, y) ds:

represent the same mathematical operation. The mathematical equation represented here is obtained by multiplying the function f(x, y) by a constant -c and integrating it with respect to the variable ds. The placement of the constant -c does not affect the result, so the two expressions are equivalent.

Thus, both expressions (right-hand and left-hand sides) are the same. Hence, the statement is true.

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Given:

The objective is to subtract (4d² + 9d + 7) - 4d².

The equation can be rearraged as,

Hence, the value of subtraction is 9d+7.

The Total Square Footage of the House is 780 sq. ft.

What is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Solution:

Area of Living Room = 20*15 = 300 sq. ft.

Area of Kitchen = 12*10 = 120 sq. ft.

Area of Bedroom 1 = 12*12 = 144 sq. ft.

Area of Bedroom 2 = 12*10 = 120 sq. ft.

Area of Bathroom = 8*12 = 96 sq. ft.

Total Area is 300 + 120 + 144 + 120 + 96 = 780 sq. ft.

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Answer:

Step-by-step explanation:

The Volume of a cylinder is given by the formula:

\(V= \pi * r^{2} *h\)

Where:

\(\pi\) is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

\(r^{2}\) is the radius of the cylinder base

\(h\) is the height of the cylinder

Therefore:

\(V=3.14 * 4^{2} *14\\V=3.14*16*14\\V=703.36ft^{3}\)

Answer: 6.35

hope this helps.

Answer:

175+(25*∞d)

Step-by-step explanation:

So d will represent the days which we don't know yet

100 + 50 + 25 + 25d

175+25d

and in this case it will be infinite the amount of days so

175+(25*∞d)

The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Given,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.

It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.

Example:

2, 4, 8, 16, 32

Common ratio = 4/2 = 8/4 = 16/8 = 2

The sum of the nth term of a geometric sequence is given by:

S = a [ \(r^{n}\)- 1 ) / ( r - 1 ) ] if r > 1 ______(1)

S = a [ 1 - \(r^{n}\) ) / ( 1 - r ) ] if r < 1 _______(2)

We see that,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

This is a geometric sequence.

Find the sequence.

100, 50, 25, ,,,,,,, ∞

Here,

The common ratio is:

r = 50 / 100 = 25/50 = 1/2

i.e r < 1

Find the sum of at ∞.

Now,

a = 100

r = 1/2

n = ∞

From (2)

S = a [ 1 - \(r^{n}\) ) / ( 1 - r ) ]

S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]

S = 100 [ 1 / 0.5 ]

S = 100 / 0.5

S = 200

Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

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Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Answer:

x=43.3

Step-by-step explanation:

Answer:

I dont f-n know

Step-by-step explanation:

Answer:

9.5,9.75,9.125,9.375

Step-by-step explanation:

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Complex numbers can be represented in GeoGebra using the complex number constructors, specifically the complexnumber(real,imaginary) command.

This command creates a complex number with the given real and imaginary components. For example, a complex number with a real part of 3 and an imaginary part of 4 can be written as complexnumber(3,4). This will create a complex number with a real part of 3 and an imaginary part of 4, represented as 3+4i. GeoGebra also contains other commands for manipulating complex numbers, such as the conjugate(z) command, which produces the conjugate of the given complex number z, and the re(z) and im(z) commands, which extract the real and imaginary components of the given z, respectively. Together, these commands allow GeoGebra to effectively represent and manipulate complex numbers.

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Answer:

The width is 8 meters.

Step-by-step explanation:

30-6=24

24/3=8

width=8 meters

Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

Answer:

V = π · x² · y cm

Step-by-step explanation:

In General :

Volume of a cylinder = Area of the base which is a circle · height

V = π · r² · h

In our case:

Is given that radius is x cm and height is y cm.

V = π · x² · y

Answer:

Slope is -2.  The equation is y = -2 + 1

Step-by-step explanation:

We are told this is a linear function.  We can take any two points to calculate the Rise/Run, or slope, of the line.  I'll use (-2,5) and (2,-3).

The Rise is = (-3 - 5) = -8

The Run is = (2 - (-2)) = 4

The slope is the Rise/Run:  (-8/4) = -2

A slope of -2 tells us that y will decrese by 2 for every 1 increase in x.

The equation of the line will be y = -2x + b, where b is the y-intercept (the value of y when x = 0).

Enter any given point into the equation and solve for b.  I'll use (0,1):

y = -2x + b

1 = -2(0) + b     for (0,1)

b = 1

The equation is thus:  y = -2x + 1

2x - 1 > 0 ( x = 1)

x + (x − 1) > 5 ( x = 3)

5x − 3x > 9 ( x = 5)

Answer:

2x - 1 > 0 ( x = 1)

x + (x − 1) > 5 ( x = 3)

5x − 3x > 9 ( x = 5)Step-by-step explanation:

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Work ethic represents the set of values, principles, and attitudes that individuals possess regarding their work responsibilities and the effort they put into their tasks and goals.

Work ethic encompasses a range of qualities and behaviors that individuals exhibit in their professional lives. It reflects their commitment, dedication, and integrity towards their work and the standards they uphold. A strong work ethic involves traits such as punctuality, reliability, perseverance, accountability, and professionalism.

When Adrianna chooses to speak about work ethic, she is appealing to her audience's sense of responsibility and the importance of hard work. By addressing this topic, she is likely emphasizing the significance of qualities like discipline, motivation, and self-motivation, which can contribute to personal and professional success.

Furthermore, discussing work ethic can inspire individuals to take ownership of their work, demonstrating a willingness to go the extra mile, exceed expectations, and deliver high-quality results. It also highlights the importance of maintaining a positive attitude, being adaptable to challenges, and continuously striving for improvement.

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Answer:

B

Step-by-step explanation:

You can rule out all others. A is wrong because a triangle cannot be acute and obtuse at the same time. C is wrong because a polygon dosen't neccassarily need to be a triangle, for example, a polygon is a closed shape, so it could be a rectangle. It isn't D because there are obtuse triangles out there. So, the only one left is B.

The answer is B because if the triangle is a polygon then the conclusion would be that it is either acute or obtuse.