Sequences and series!! Help please

Sequences And Series!! Help Please

Answers

Answer 1

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i


Related Questions

Which ordered pair is a solution to the equation?
4y = -7x-5
(2,-2)
(1.3)
(-5,0)
(-3, 4)

Answers

Answer:

Step-by-step explanation:

4(4) = -7(-3) - 5

16 = 21 - 5

16 = 16

answer is D

Answer: (-3.4)

Step-by-step explanation: took test 6.02

Foundations wrap up Systems of Equations

what is the area of the object above​

Answers

The area would be 90cm
Explanation: To find area u multiple length times width, therefor 12x7 = 84 and 2x3 = 6
Then add it all together and it will equal 90cm

22/33 = a/24 sovle the proportion​

Answers

22/33=a/24
22x24 = 33xa
a=22x24/33
a=16

PLease Help help Help

Answers

Answer:

98.1 square units

Step-by-step explanation:

know you need it quick

Help Give brainliest quickly

Answers

Answer:

I think the answer is forth one

What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms

Answers

Answer:

V = 114.75 Volts

Step-by-step explanation:

Ohm's Law   V = IR

I = 4.5 A

R = 25.5 Ω

V = (4.5)(25.5)

V = [4×25.5] + [0.5×25.5]

V =  102 + 12.75

V = 114.75 Volts

Jeremy was saving $8 per week.
How many weeks would it take him to save $124?​

Answers

set n as the value of weeks jeremey needs to save

so jeremy needs to save 8n = 128

so n =[tex]\frac{128}{8}[/tex] = 16 weeks

It would take 15 full weeks and a half of one week

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?

Answers

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

geometry help pleaseeee

Answers

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

• What is the difference? Complete the equation.
–30 – (-10) =
?

Answers

The answer to the question is -20

I need help with this

Answers

Answer:

65*

Step-by-step explanation:

All angles in a triangle = 180 degrees.

The unknown (a) is 60° so if you add each angle of this triangle you would get 175° total.
I got my answer by adding 60°+35°+80° and ended up with 175°. In quick math, you can just add 6+8=14 and add the zero so it would be 140 then add 35 which basically you just need to add 3+4=7 then add the zero once again making the answer a 170 and then just add the leftover 5 you got from the 35.

20. Given circle C with radius r and circle D with radius

s, what is an appropriate first step when proving

circle C is similar to circle D?

O A. Transform circle C with a dilation that has center

Cand scale factors.

B. Transform circle C with a dilation that has center

C and scale factor r.

O C. Transform circle C with the translation that maps

point Conto point D.

OD. Transform circle C with the translation that maps

point onto point C.

Answers

Answer:

A. Transform circle C with a dilation that has center  C and scale factor s.

Step-by-step explanation:

Given

Circle C

[tex]radius = r[/tex]

Circle D

[tex]radius = s[/tex]

Required

Map C to D

From the question, we can assume that:

[tex]r \ne s[/tex]

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

Hence, (A) is correct

Answer:

It's C

Transform circle C with the translation that maps point Conto point D.

Pwease help i will give you brain thing if its correct ♡

Answers

Answer:

1. 54 = 0.6x

2. 90 dollars (see below)

Step-by-step explanation:

54 = 0.6x

0.6 is the decimal equivalent of 60%

Divide both sides by 0.6:

54/0.6 = 0.6x/0.6

90 = x

An hour before show​ time, only 266 people are seated for a movie. . According to ticket​ sales, 93​% of the people have yet to arrive. How many tickets were sold for the movie

Answers

Answer:

3800 tickets

Step-by-step explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

[tex] \displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies \frac{266}{7\%} \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} } \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 \times \frac{100}{7} \\ \rm reduce \: fraction \longleftarrow 38 \times 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}[/tex]

hence,

3800 tickets were sold for the movie

Answer:

Solutions given:

[100%-97%]=266people

7% =266people

Each people is 1 ticket.

266 people =266tickets

so

7% of people=266ticket

100% of people =266/7×100=3800tickets

3800tickets were sold for the movie

HELP THANK YOU SM !!! ​

Answers

Answer:

Your answer is C

Step-by-step explanation:

use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?

Answers

9514 1404 393

Answer:

  y = -(x -7)² +6

Step-by-step explanation:

Replacing x with (x-h) translates the graph h units to the right. You want h=7.

Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.

These transformations make the new equation be ...

  y = -(x -7)² +6

Somebody Please help!!!

Answers

Answer:

176

Step-by-step explanation:

8+8+64+64+16+16

Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772​

Answers

Answer:

4f^2-11

Step-by-step explanation:

Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12​

Answers

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

What is the probability that I will roll a 4 on a standard number cube?

Answers

Answer:

the probability of rolling any single digit on a 6-sided fair cube is 1/6

To roll a 4 on a standard number cube is 1/6

Comprehension Question
Answer the question correctly for 30 dollars.

Read the sentence from paragraph 2.

If we continue throwing plastic bags in the garbage, our landfills will become towering mountains of trash.

What does this sentence show?


.A. the author’s use of humor to change the tone of the passage

B. the author’s use of exaggeration to make a point about landfills

C. the author’s use of details to support his argument for paper bags

D. the author’s use of description to provide personal experience on the topic

Answers

Answer:

B.

Step-by-step explanation:

Our landfills will not actually become towering mountains of trash, that's just a hyperbole used by the author to show the destructive impact that trash in large quantities can have.

Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?

Anything besides these would be appreciated:

1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head

Answers

Answer:

the future diary  

Step-by-step explanation:

I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!

Does (3,8) make the Equation y=x-5 true?

Answers

Answer:

no

Step-by-step explanation:

Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?

Answers

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

Does someone need help with your math problems? I am using Gauthmath, ...https://s.tutorus.xyz/lp/invite?code=7JX9FQ​

Answers

Answer:

ok

Step-by-step explanation:

what is 2+2 4+4 8+8 i need math help

Answers

Answer:

2+2 is 4 4+4 is 8 8+8 is 16

Step-by-step explanation:

if you need them added up here: 4+8 =12 12+16 = 28

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

Construction crews are building a highway between the towns of Washington and Jefferson. Currently the highway is 16.25 miles long. Each month the total length increases by 4.5 miles. Which equation can be used to find y, the total length of the highway in miles after x months?

Answers

Chuckinghchchdd underhand drop ribbon stucco Tio stain stucco during

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

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