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
Which ordered pair is a solution to the equation?
4y = -7x-5
(2,-2)
(1.3)
(-5,0)
(-3, 4)
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
22/33 = a/24 sovle the proportion
PLease Help help Help
Answer:
98.1 square units
Step-by-step explanation:
know you need it quick
Help Give brainliest quickly
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
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?
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
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?
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
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) =
?
I need help with this
Answer:
65*
Step-by-step explanation:
All angles in a triangle = 180 degrees.
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.
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 ♡
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
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 !!!
Answer:
Your answer is C
Step-by-step explanation:
use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!
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?
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!!!
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772
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
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?
Answer:
the probability of rolling any single digit on a 6-sided fair 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
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
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?
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?
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
Answer:
ok
Step-by-step explanation:
what is 2+2 4+4 8+8 i need math help
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?
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?
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.
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