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Leviafan [203]
1 year 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]1 year 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]1 year ago
3 0

Answer:a

Step-by-step explanation:

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aleksandr82 [10.1K]

Answer:

<em>7</em>

Step-by-step explanation:

You need to solve for z

Add 7 to both sides

3z = 21

Divide by 3

z = 7

5 0
1 year ago
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A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th
Volgvan

Answer:

We are given:

Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:

z_{\frac{0.01}{2}}=2.576

Margin of error is given in the question as:

E=0.05

Since the previous proportion is not given, therefore, we need to assume \hat{p} = 0.5

Therefore, the sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

  =0.25 \times 51.52^2

  =663.6 \approx 664

Therefore, 664 sample observations are required.    

4 0
1 year ago
Which of the following expressions represents "no more than 5"?
777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0
1 year ago
John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friend
svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

\frac{7}{11}(x-110)=\frac{7}{11}x-70

Then he put 2/5 of his remaining money into a checking account

\frac{3}{5}\left(\frac{7}{11}x-70\right)

Rest he donated to charity

420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210

Hence total amount of money John originally had was $1210

8 0
1 year ago
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

\angle UST must equal \angle UVT

So:

\angle UST = \angle UVT = 98

Next:

UV must equal US.

So:

UV = US = 14

Also:

ST must equal VT

So:

ST = VT = 20

Lastly

\angle TUV must equal \angle TUS

So:

\angle TUV = \angle TUS = 45

Hence: Options A and D are correct

4 0
1 year ago
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