A regular pentagon, a regular octagon, and∠ meet at a point. What is m< SBY?

Answer: 3.2 would be the correct answer.

Step-by-step explanation:

Result

Distance: 3.1622776601684

Steps:

Distance (d) = √(-2 - 1)2 + (4 - 3)2

= √(-3)2 + (1)2

= √10

= 3.1622776601684

Slope and Angle:

ΔX = -2 – 1 = -3

ΔY = 4 – 3 = 1

Slope (m) =

ΔY

ΔX

=

1

-3

= -0.33333333333333

θ =

arctan( ΔY ) + 180°

ΔX

= 161.56505117708°

Equation of the line:

y = -0.33333333333333x + 3.3333333333333

or

y =  

- 1 x

3

+  10

3

When x=0, y = 3.3333333333333

When y=0, x = 10

 X1 Y1

Point 1:   (

1

3

)

 X2 Y2

Point 2:   (

-2

4

)

Calculate

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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Answer:

3

Step-by-step explanation:

3x22.75=68.25 or less than the yearly pass

When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

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The inequality that represents the domain of the function is \(\frac 12x - 10 \ge 0\)

The function is given as:

\(f(x) = \sqrt{\frac 12x - 10} + 3\)

Set the radicand greater than or equal to 0

\(\frac 12x - 10 \ge 0\)

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

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Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

Answer:

The first one is

\(x=\frac{3}{a }\)

The second one is

\(x=- \frac{a }{6 }\)

The third is

\(x=-\frac{6}{a}\)

Hope this helps, it's just simple rearrangement for x!

The ordinary numbers for the expressions will be

a. 3.25*10⁴ = 32500

b. 6.04*10⁻³= 0.00604

c. 2400000 = 2.4*10⁶

d. 0.00147 = 1.47*10⁻³

What are expressions exactly?

In mathematics, expressions are mathematical assertions made up of at least two sentences that contain numbers, variables, or both and are linked by an operator. Mathematical operations include addition, subtraction, multiplication, and division. For example, x + y is an equation that uses an addition operator to separate the components x and y. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is six times the size of another number, x. This sentence is mathematically stated as x/2 + 6. Mathematical expressions are used to address complex problems.

Now,

Given expressions/Numbers are a. 3.25*10⁴  then ordinary form is

3.25*10000

=32500

b. 6.04*10⁻³ then ordinary numbers is

=6.04/1000

=0.00604

c. 2400000 then standard from is

=2.4*1000000

=2.4*10⁶

d. 0.00147  then standard form is

=1.47/1000

=1.47*10⁻3

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In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

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Assuming that mZDEF=mZDEG:

3x+1=5x+19

Solving for x:

Subtract 5x from both sides:

3x+1-5x=5x+19-5x

1-2x=19

Subtract 1 from both sides:

1-2x-1=19-1

-2x=18

Divide both sides by -2:

-2x/(-2)=18/(-2)

x=-9

Monday's Z score of 2.5 is greater than 2.00, it indicates that Monday's sales were higher than average.

To find Monday's Z score, we can use the formula:

Z = (X - μ) / σ

Where:

X = Monday's sales ($33250)

μ = Mean daily sales ($29500)

σ = Standard deviation of sales ($1500)

Substituting the values into the formula, we get:

Z = (33250 - 29500) / 1500

Z = 3750 / 1500

Z = 2.5

Monday's Z score is 2.5.

To determine if Monday was an unusually good day, we need to compare the Z score to the threshold of -2.00 and 2.00 for unusual scores.

Since Monday's Z score of 2.5 is greater than 2.00, it indicates that Monday's sales were higher than average, but it does not fall into the range considered unusually good.

Therefore, Monday's sales were above average but not unusually good according to the Z score criterion.

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Answer:

7/36

Step-by-step explanation:

find the LCD   write all the numerators above the least common denominator

LCD is 36

4 +3 /36 =7/36

Answer:

Multiply 1014 by 6.444 and you should get

Step-by-step explanation:

6534. 216 x

Answer:

Step-by-step explanation:

3

2

​

−

2

3

​

y+

3

1

​

y+4=0

Combine −

2

3

​

y and  

3

1

​

y to get −

6

7

​

y.

3

2

​

−

6

7

​

y+4=0

Convert 4 to fraction  

3

12

​

.

3

2

​

−

6

7

​

y+

3

12

​

=0

Since  

3

2

​

 and  

3

12

​

 have the same denominator, add them by adding their numerators.

3

2+12

​

−

6

7

​

y=0

Add 2 and 12 to get 14.

3

14

​

−

6

7

​

y=0

Subtract  

3

14

​

 from both sides. Anything subtracted from zero gives its negation.

−

6

7

​

y=−

3

14

​

Multiply both sides by −

7

6

​

, the reciprocal of −

6

7

​

.

y=−

3

14

​

(−

7

6

​

)

Multiply −

3

14

​

 times −

7

6

​

 by multiplying numerator times numerator and denominator times denominator.

y=

3×7

−14(−6)

​

Do the multiplications in the fraction  

3×7

−14(−6)

​

.

y=

21

84

​

Divide 84 by 21 to get 4.

y=4

Answer:

57

not sure abotu the answer

Answer:

y=1/2x+2

Step-by-step explanation:

so slope = 2-(-1)/0-(-6)

=3/6=1/2

y=mx+b

plugging in the second group of cordinates.

2=1/2(0)+b

b=2

y=1/2x+2

Answer:

y=0.5x+2

Step-by-step explanation:

y=mx+c

change in y over change in x

2+1/0+6 = 0.5

m=0.5

2=0.5×0+c

2=c

y=0.5x+2

Answer:

G=7

Step-by-step explanation:

Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.

To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.

Using the multiplication principle, there are

8 x 8 x 8 x 8 = 4096

ways to choose the toppings. Similarly, there are

6 x 6 x 6 = 216

ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are

4096 x 216 x 6 = 53,248,

which means there are 53,248 ways to make the super subs.

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Answer:

-2

Step-by-step explanation:

The explanation is in the picture

Answer:

43

Step-by-step explanation:

The distance between ben and the dolphin is 43 hope this helped

Answer:

3.9

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

36:45 = x:30

36 x 30 = 1080

1080/45 = 24

To compute the covariance matrix of centered data matrix X, the following matrix operation can be used: \(cov(X) = (1/(n-1)) X^T X\), where \(X^T\) is the transpose of X.

Given a matrix\($X$\) of centered data with a column for each field in the data and a row for each sample, the covariance matrix of the variables in the data can be computed using matrix operations as:

\($\text{cov}(X) = \frac{1}{n-1}X^TX$\)

where \($n$\) is the number of samples and \($X^T$\) is the transpose of the matrix \($X$\). The matrix multiplication \($X^TX$\) computes the sum of the outer products of the columns of \($X$\), and dividing by \($n-1$\) gives an unbiased estimate of the covariance matrix. Note that the resulting matrix is a symmetric matrix with variances on the diagonal and covariances off the diagonal.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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The starting price of the toys was $7.50.

What is addition?

Addition is a basic arithmetic operation that combines two or more numbers to get a sum or a total. It is represented by the "+" symbol. When we add numbers, we are finding the total amount when we combine them.

Let's assume the starting price of the toys as "x".

After the first hour, the price of the toys will be "x - 0.25".

After the second hour, the price of the toys will be "x - 0.25 - 0.25 = x - 0.5".

Similarly, after the third hour, the price of the toys will be "x - 0.75".

We can see that the price of the toys decreases by $0.25 every hour. So, after the 8th hour, the price of the toys will be:

x - (0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25)

= x - (8 x 0.25)

= x - 2

We know that after the 8th hour, the price of the toys is $5.50. So we can write:

x - 2 = 5.50

Adding 2 to both sides:

x = 7.50

Therefore, the starting price of the toys was $7.50.

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The equation of the line in point-slope form is y-1 = 3 ( x + 1)

Equation of a line:

The equation of a line, in point-slope form, is designated  using:

y-y0= m( x - x0)

In which the point is given by(x0,y0)  and m is the slope.

Slope of the line below is 3 (given in the question).

This means that m = 3

(-1,1)

This means x= -1 and y =1

equation of the line

y - y0 = m( x- x0)

y-1 =m(x-(-1))

y-1=m(x + 1)

substituting the value of m is 3

y-1= 3 ( x + 1)

Therefore, The equation of the line in point-slope form is y-1= 3 (x + 1)

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Answer:

m= \(\frac{7}{4}\)

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}\)

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!