Table->Equation and Graph

Given the table on the left find the equation (y=mx+b)

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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Based on the information we can infer that the correct options are equations 2, 4 and 5.

To find the correct options we must replace the values of x and y in order to find the area more easily. In this case we can replace the values by the number 1 to find the area of the figure.

If we replace the value of x and y by the number 1 in the equations, they would look like this:

Option 1.

Option 4.

Option 5.

According to the above, all the equations have a 4 as a result, so they correspond correctly with the area of the figure.

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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:

Zadanie 5.

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

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

Step-by-step explanation:

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

Answer:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=0

Horizontal Asymptote: y=0

Hope this helps :)

Answer:

Step-by-step explanation:

yea i took the test :)

In a right triangle with an angle of 60° and a hypotenuse of 12 feet, we need to find the length of the side opposite the angle. The correct answer is b. x - 6√3 ft.

In a right triangle, the side opposite an angle is called the "opposite" side. To find the length of the side x, we can use the trigonometric relationship involving the angle 60°, which is known as the sine function.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, we have the equation:
sin(60°) = x / 12
To solve for x, we can multiply both sides of the equation by 12:
12 * sin(60°) = x
The sine of 60° is √3 / 2, so we can substitute that value into the equation:
x = 12 * (√3 / 2)
Simplifying the expression, we get:
x = 6√3 ft
Therefore, the length of the side opposite the angle 60° is x - 6√3 ft, which matches option b.

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Answer:

4 is the answer

because 52x4=208÷100=4

Answer: 2700 square inches

Step-by-step explanation:

From the question, we are informed that Jeanette makes and sells greeting cards and that she uses 18 square inches of paper for each card.

To calculate the number of square feet of paper that she need to make 150 card, we multiply 150 by 18 square inches. This will be:

= 150 × 18 square inches

= 2700 square inches

Answer:

Step-by-step explanation:

every 3 numbers

3,6,9,12,15,18,21,24

Answer:

0,3,6,9,12,15,18,21.24

?=12

Step-by-step explanation:

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.  

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:

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:

(- 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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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.

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:

x = 1.14

x = -1.47

Step-by-step explanation:

Use the quadratic formula.

x =  

-b ± √b2 - 4ac /2a

1 ± 6 √61  = x

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:

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.

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

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:

Answer:

I don't understand sorry

Step-by-step explanation:

The formula for the maximum likelihood estimator (MLE) of the variance of the error term can be derived by maximizing the log-likelihood function.

Set up the model and log-likelihood function

Consider a regression model where we have a dependent variable (Y) and independent variables (X) with an error term (ε). We assume that ε follows a normal distribution with mean 0 and variance σ². The model can be written as Y = βX + ε.

To derive the MLE estimator of σ², we start by writing the log-likelihood function. Since the error terms are assumed to be independent and normally distributed, the log-likelihood function can be expressed as:

ln(L) = -n/2 * ln(2π) - n/2 * ln(σ²) - (1/2σ²) * ∑(Yi - βXi)²

where n is the sample size and the sum is taken over all observations.

Maximize the log-likelihood function

To find the MLE estimator, we need to maximize the log-likelihood function with respect to σ². We do this by taking the derivative of the log-likelihood function with respect to σ^2 and setting it equal to zero.

d(ln(L))/d(σ²) = -n/(2σ²) + (1/2σ⁴) * ∑(Yi - βXi)² = 0

Simplifying this equation gives us:

σ² = (1/n) * ∑(Yi - βXi)²

Thus, the MLE estimator for the variance of the error term is the average of the squared residuals.

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Answer:

3.17

Step-by-step explanation:

Just took the quiz

Answer:

the answer 'b'

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

The answere is y= 1/4x-2

Step-by-step explanation:

subtract 2x from both sides to get -8y=-2x+16

then divide -8 on all terms to get y=2/8x-2

then simplify the 2/8 to get y=1/4x-2