answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leviafan [203]
2 years ago
5

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of

Mathematics
2 answers:
nikklg [1K]2 years ago
8 0

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

Lerok [7]2 years ago
3 0

Answer:a

Step-by-step explanation:

You might be interested in
what is the typical distance a moped can be driven on a single tank of gas? a statistical question/ explain your reasoning
Svet_ta [14]

Answer:

Step-by-step explanation:

the bfjfnd hat nsth dum

8 0
2 years ago
Read 2 more answers
If w= the weight of trout. Which algebraic expression represents the phrase below?
konstantin123 [22]

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

8 0
2 years ago
Read 2 more answers
Nar donated to 4 charities last year. She gave £175 to each of these charities. This year Rana wants to donate the same total am
LekaFEV [45]

Answer:

£116.67

Step-by-step explanation:

Given;

Nar donated to 4 charities last year. She gave £175 to each of these charities.

The total amount Nar donated is;

Nar = 4 × £175 = £700

For Rana to donate the same amount equally among 6 charity, to determine the amount each charity would receive this year, we need to divide the total amount by the number of charities;

A = £700/6

A = £116.67

7 0
2 years ago
Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2
kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

3 0
2 years ago
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = 2(3.14)(3.3)(3.3+10)=275.63\ \text{ sq. cm}

<em>[π=3.14]</em>

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \pi r^2h

=(3.14)(3.3)^2(10)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0
2 years ago
Other questions:
  • rudy will buy 3 ivory silk lilac trees or 2 bur oak trees he wants to buy the trees that cost less wgat trees will hey buy how m
    7·2 answers
  • The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
    15·1 answer
  • Which equation has an a-value of –2, a b-value of 1, and a c-value of 3? 0 = –2x2 + x + 3 0 = 2x2 + x + 3 0 = –2x2 + 3 0 = 2x2 –
    10·1 answer
  • Senior management of a consulting services firm is concerned about a growing decline in the firm’s weekly number of billable hou
    10·1 answer
  • Apply the distributive property to factor out the greatest common factor 16g+20h
    5·1 answer
  • Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. S
    8·2 answers
  • Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
    7·1 answer
  • A grocer bought 70 cans of corn. She sold 10 cans that day and 15 cans the next day. How many did she have left?
    14·1 answer
  • a dart board has 10 equally sized slices numbered from 1-10. some are grey and some are white. the slices numbered 1,2,3,4,5,6,8
    12·1 answer
  • Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!