Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 4.
a. 13+ 4i, 28 + 9i, 59+ 20i
c. 11 + 2i, 25 + 6i, 53 + 14i
b. 13 - 4i, 28 - 9i, 59 - 20i
d. 11 - 2i, 25 - 6i, 53 - 14i

Answer:

I believe it would be (c)

Answer:

A

Step-by-step explanation:

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

The solution is, ordering the IQR in descending order :

Emma, Sally, Olivia

The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.

here, we have,

Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

Emma, Sally, Olivia

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complete question:

Drag each tile to the correct box.

Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.

Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

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Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

Answer:

Are you sure the question is right?

Answer:

Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.

Step-by-step explanation:

Answer:

Greater than 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 3a

3a > 45

a > 15

Answer:

28

Step-by-step explanation:

Add up the angles of the ones given so

40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28

I hope this helped!

Answer:

28°

Step-by-step explanation:

40° + 112 ° + angleCBA =180

152°+ angleCBA= 180

angle CBA=180° - 152°

angle CBA= 28°

Answer:

x = 2√58

Step-by-step explanation:

using the Pythagorean theorem:

x² = 14² + 6² = 232

x = √232 = 2√58

Answer:

The answer is D or 36

Step-by-step explanation:

Divide the cups by servings

9/.25=36

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

x = 0.69 is what i got

Step-by-step explanation:

(c) 7

7×(12 + 5) = (7×12) + (7× 5)

Explanation:

Distributive property say that multiplication an division can be distributed over parenthesis.

a x (b+c) = a x b + a x c

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

B. 3

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

Hi there!  

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I believe your answer is:  

The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.

»»————-　★　————-««  

Here’s why:  

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Since the square root of 5 is not a perfect square, it would be irrational.

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

w = 2 cm

Step-by-step explanation:

100 = 25 x 2 x w

w = 2 cm

The width of the rectangular prism is 2 cm.

Volume is the amount of space occupied by a solid shape.

To calculate the width of the rectangular prism we use the formula below.

Formula:

Where:

Make w the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the width of the rectangular prism is 2 cm.

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Answer:

90,000

Step-by-step explanation:

Answer:

x = 7/6

Step-by-step explanation:

6x+5 = 12

Subtract 5 from each side

6x+5-5 = 12-5

6x = 7

Divide each side by 6

6x/6 = 7/6

x = 7/6

Answer:

x=7/6

Step-by-step explanation:

6x+5 = 12

subract 5 from both sides

6x = 7

divide by 6 on both sides

x=7/6

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]9.4 \div 20 \\ = 0.47[/tex]

Answer:

what she sells each t-shirt for.

Step-by-step explanation:

if f(x) is the profit and x=# of t-shirts,

the rate of change is 8, which is what she sells each t-shirt for.

The 100 that is subtracted, is the money that she spent on materials.

For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Answer:

x intercept: 15/8 and yintercerpt is 3/2

Step-by-step explanation:

to find y intercept you have to put equation in standard form.

10y=-8x+15

y=--4/5x+3/2

x intercept is when y=0, so we plug in 0

0=-4/5x+3/2

4/5x=3/2

x=15/8

Answer:

4.082 radians

Step-by-step explanation:

Here we want to convert 234° into radians.

To do it, we use the fact that pi radians is equal to 180°

Then we can write two equations:

x radians = 234°

3.14 radians  = 180°

Where we want to find the value of x, which is the equivalent in radians to 234°.

Now we can take the quotient of these two equations to get:

( x radians)/(3.14 radians) = (234°/180°)

Solving this for x, we get:

x radians = (234°/180°)*(3.14 radians) = 4.082 radians.

Answer:

[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center of the circle is (0, -4) and the radius is 3. Therefore:

Substitute the values into the formula.

[tex](x-0)^2+(y--4)^2=(3)^2[/tex]

Solve the first parentheses.

[tex]x^2+(y--4)^2=(3)^2[/tex]

Solve the next parentheses.

[tex]x^2+(y+4)^2=(3)^2[/tex]

Solve the exponent.

[tex]x^2+(y+4)^2=9[/tex]

This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.

The value of B is =31 .

the value of b is 31

Answer:

[tex]\angle NPM[/tex]

Step-by-step explanation:

Given

Circle of center P

Polygon JKLMN

Required

The central angle of JKLMN

From the question, we have that: the polygon and the circle have the same center (P).

This means that any central angle must pass through P

By this, PMN and NJK are incorrect

QPK divides the polygon and point Q is not on the vertex of the polygon.

By this, QPK is also incorrect

The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon