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Given: square ABCD with a perimeter of 48 units. Find the number of units in BD (in simplest radical form)

A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]

B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]

c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]

are the value of given algebraic expression.

The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".

here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]

Given .

[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]

upon solving two complex number we solve coefficient of iota together and real number together.

A) to find [tex]$(x+y)$[/tex]

[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]

B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]

c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]

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Answer:

yes

Step-by-step explanation:

Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

Answer:

1.)E₁  =  4,03

2) E₂ = 3,85

3) σ₁²  =  1,23

4)σ₂²  = 1,14

5)σ₁  = 1,11

6)σ₂   = 1,07

5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median  0,18 and difference in standard deviation 0,04

Step-by-step explanation:

1.-Expected value of the job satisfaction score for senior executive

E₁, variance σ₁ and standard deviation  σ₁   and expected value  of the job satisfaction score for  Middle Manager E₂  variance σ₂ and standard deviation  σ₂

E(X)  =  ∑ ( xi *f(xi)

JSS      IS senior executive                   IS Middle Managers

1                      0,05                                             0,04

2                     0,09                                              0,1

3                      0,03                                             0,12

4                      0,44                                             0,45

5                      0,39                                             0,29    

∑ xi*f(xi)  =  1*0,05 +  2 *0,09 + 3*0,03 + 4 * 0,44 + 5 * 0,39

E₁  =  0,05 + 0,18  + 0,09 + 1,76  + 1,95

1.)E₁  =  4,03

2.) ∑ xi*f(xi)

E₂ = 1* 0,04  + 2 * 0,1 + 3*0,12 + 4*0,45 +5*0,29

E₂  = 0,04  +  0,2  +  0,36 + 1,8 + 1,45

E₂ = 3,85

2 ) E₂ = 3,85

3) Variance of job satisfaction scores for senior executives.

x²       f(x)                  x²* f(x)

1          0,05                0,05

4         0,09                 0,36

9         0,03                 0,27    

16        0,44                 7,04

25       0,39                 9,75

σ₁²  = [ ∑ x²*f(x) ] - μ²           ∑ x²*f(x)  = 17,47

In this case    μ = E       μ²   =  ( 4,03)²   =  16,24

For senior executives:   σ₁²  = 17,47  - 16,24   = 1,23

σ₁²  =  1,23

And  standard deviation σ₁  = 1,11

For Middle managers

x²       f(x)                  x²* f(x)

1          0,04                0,04

4         0,1                      0,4

9         0,12                  1,08      

16        0,45                 7,2

25        0,29                7,25

                ∑ x²*f(x)  =  15,97

σ₂²  =  15,97  -  (3,85)²  =  15,97  -  14,82

σ₂²  = 1,14

σ₂   = √1,14   =  1,07

5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median  0,18 and difference in standard deviation 0,04

Answer:

118

Step-by-step explanation:

Answer: 118

Step-by-step explanation:

4(5)^2+3(6)

4(25)+3(6)

100+3(6)

100+18

118

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the left (I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all [tex]x \le -1[/tex].

Answer:

on edg3

Step-by-step explanation:

I believe it's A

I hope this helps and if I'm wrong I apologize

Step-by-step explanation:

I said it I knew it I did it I submit for you so I'm the one that is if if you know me.

Answer:

option 4 (D)

Step-by-step explanation:

Answer:

c = 10.6

Step-by-step explanation:

c² = a² + b²

c² = 7² + 8²

c² = 49 + 64

c² = 113

Take the square root of both sides

c = 10.6301458127

Rounded

c = 10.6

Answer:

0.23 is the answer

I wish you luck in your assignments.

Answer:

The answer is C.

I did the practice.

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Answer:y=(x+3)2−17

Step-by-step explanation: 3,11 5,15

Step-by-step explanation:

I'm pretty sure it's 19200? or maybe im writing is wrong

Answer:

After 24 years population of the city will be 27000.

exponential function.

Step-by-step explanation:

in picture

Answer:

40 degrees clockwise.

Step-by-step explanation:

If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so

210-170=40 degrees

It would be clockwise.

Answer:

50%

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

Looking at the problem, we can take 25, and divide 50 by it.

25 ÷ 50 = 0.5

0.5 is equal to 5/10, which is also equal to 50%, meaning that 50% of 50 is 25.

Therefore , answering the questions, we can state that a factorial radicals is streamlined, or in its most basic form, when the user ’s behalf has no square components.

Radical is the name for the symbol for the scale factor or nth root. Root expressions are expressions that have square roots. Radicand: An expression or value enclosed by a radical symbol. Examples are the radicalism 7, 2y+1, and on and on. Radicals can also be described using the terms below: Equations that contain radicals are known as radical equations. The expression contained within the square root is referred to as the "root expression."

Here,

We refer to a sum of squares radical as being simplified or in its purest form when the radicand contains no square components.

The simplest form of a radical also exists when the user ’s behalf is not a fraction.

so that radical = 2√x / x

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Answer:

The slope of a line that is parallel to the graph of the function below is 1/4x

Step-by-step explanation:

The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x

9514 1404 393

Answer:

  year 2066

Step-by-step explanation:

In order to do this, we need to make some assumptions. We'll assume that the 2010 wages are also in 2009 dollars. (If not, there's an inflation factor that needs to be accounted for.) We also need to assume the form of the change in wages over time. The simplest assumption there is that wages change linearly.

Then we can write equations for men's and women's wages as follows:

Using the 2-point form of the equation for a line, we have ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Men's wages

  y = (42800 -38907)/(2010-1960)(x -1960) +38907

  y = 77.86(x -1960) +38907

  y = 77.86x -113,698.6 . . . . . where x is the year

Women's wages

  y = (34700 -23606)/(2010 -1960)(x -1960) +23606

  y = 221.88x -411,278

These values are equal when ...

  77.86x -113,698.6 = 221.88x -411,278

  297,580.2 = 144.02x . . . . . . . add 411278 -77.86x

  2066.2 = x . . . . . . . divide by the coefficient of x

Based on this data we predict women's wages might catch up to men's in the year 2066, about 56 years from 2010.

_____

Alternate solution

In the 50 years from 1960 to 2010, the fraction of men's wages that women receive has increased from 23606/38907 ≈ 0.606729 to 34700/42800 ≈ 0.810748. That is a change of about 0.204 of men's wages in 50 years. The remaining fraction of 1-0.810748 = 0.189 might be expected to be wiped out in another (0.189/0.204)(50 years) = 46.4 years. That would be the year 2056.

The different results come from different assumptions. For the second solution, we assumed that the fraction improved linearly. Under the first assumption, that wages improved linearly, the fractional improvement is non-linear, and decreases over time.

_____

Additional comment

The usual assumption regarding things financial is that they change exponentially over time. If we use an exponential model, instead of a linear one, wage parity is reached in about 2046.

Answer:3x=4.99

Step-by-step explanation: 14.97/3= 4.99

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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Answer: No. This equation can't be solved by factoring