Please help me! How this formula transform in this formula plssss. Show me the solving steps plss
Answers
9514 1404 393
Answer:
(-A/8)(1+9i)(-A/8)(1+9i)Step-by-step explanation:
Let's start with the expression 1/(1+i). It is simplified by multiplying numerator and denominator by its conjugate.
[tex]\dfrac{1}{1+i}=\dfrac{1-i}{(1+i)(1-i)}=\dfrac{1-i}{2}[/tex]
Subtracting this from 1, as in the denominator inside parentheses, gives its conjugate.
[tex]1-\dfrac{1-i}{2}=\dfrac{1+i}{2}[/tex]
__
The 5th power can be found a couple of ways. One is to use the binomial expansion. Another is to use Euler's formula. The latter can be somewhat easier.
[tex]\dfrac{1-i}{2}=\dfrac{1}{\sqrt{2}}\angle-\!45^{\circ}\\\\\left(\dfrac{1-i}{2}\right)^5=\dfrac{1}{\sqrt{2^5}}\angle(5(-45^{\circ}))=\dfrac{1}{4\sqrt{2}}(\cos(135^{\circ})+i\sin(135^{\circ}))\\\\=\dfrac{1}{8}(-1+i)[/tex]
With these parts, we can now write the first expression as ...
[tex]\displaystyle\frac{A}{i+i}\left(\frac{1-(\frac{1}{1+i})^5}{1-(\frac{1}{1+i})}\right)=A\left(\frac{1-i}{2}\right)\left(\frac{1-\frac{-1+i}{8}}{\frac{1+i}{2}}\right)=\frac{A}{8}\cdot\frac{1-i}{1+i}\cdot(9-i)\\\\=\frac{A}{8}\cdot\frac{(1-i)^2(9-i)}{1^2-i^2}=\frac{A(-2i)(9-i)}{8\cdot2}=\boxed{-A\frac{(1+9i)}{8}}[/tex]
__
Using the same parts, we can simplify the second expression.
[tex]\displaystyle\frac{A}{i}\left(1-\left(\frac{1}{1+i}\right)^5\right)=\frac{A}{i}\cdot\frac{(9-i)}{8}=\frac{A(9-i)(i)}{8i^2}=\boxed{-A\frac{(1+9i)}{8}}[/tex]
Related Questions
Angle A is the complement of angle B. If tan A = 4/5, tanB = _____.
Answers
Answer:
5/4
Step-by-step explanation:
Find the value of 3y + 4 given that - 2y + 6 = 2.
Simplify your answer as much as possible.
Answers
Answer:
10
Step-by-step explanation:
to find the answer for 3y + 4 we have to find the value of y.
we can find that by using the second equation.
-2y+6=2
-2y+6-2 =0 (subtract 2 from both the sided)
4= 2y (we will bring the -2y to the other side of the equation and then subtract the 6-2 to get the 4)
4/2=y (divide by 2 on both the sides)
∴ y=2
now we will plug in the y of value that we see as -2 into the first equation.
∴ 3y+4 will become
= 3(2)+4
=6+4
=10
hope this helps!!
PLEASE HELP!! I’LL GIVE BRAINLIEST!!
Answers
Answer:
B
Step-by-step explanation:
[z^4/6²]^-3 = z^-12/6^-6 = 6^6/z^12
An increase of 42.5% would result in a multiplier of what?
and a decrease of 42.5% would result in a multiplier of what?
Answers
Answer:
is the 23% going into the 42.5
plz help i need help on math plz help frist one get bainys
Answers
Answer:
hello here is my help real help you better give me brainliest
Step-by-step explanation:
1. $5
2. 50 cents
3. 25 cents
4. 3 dollars
5. 70 cents
just subtract them
what is the mistake?
x-5=17+5
x=22
choose one:
- unknown value isn't 22
-work is not shown on both sides
-wrong inverse operation is used
-17+5 is not 22.
Answers
Answer:
x = 17+5-5
x=17
so this equation is wrong
X=17
No not correct
Algebra please solve 7(2x - 3y) + 4(3y - 5x) =
Answers
Answer:
-8x-9y
Step-by-step explanation:
Hey There!
So basically this problem is asking you to simplify this expression using distributive property
The first step would be to distribute 7 into what is inside the parenthesis (2x and -3y)
2x*7=14x
-3y*7=-21y
so now we have 14x-21y + 4(3y-5x)
the next step would be to distribute 4 to what is inside the parenthesis (3y and -5x)
4*3y=12y
4*-5x=-20x
so now we have 12x-21y-20x+12y
the final step is to combine like terms
12x-20x=-8x
-21y+12y=-9y
so the simplified version of 7(2x - 3y) + 4(3y - 5x) is -8x-9y
Answer:
14x-21y+12y-20x. 14x-20x+12y-21y. -6x-9y
Janelle spots some dolphins in the ocean. Her father draws a diagram to show how far down they can go. How far is this relative to sea level? What would an altimeter read at this depth?
Answers
The diagram is missing, so i have attached it.
Answer:
-1000 ft
Step-by-step explanation:
From the diagram attached, we see that they went 1000 ft below the sea level.
Now an altimeter is used to measure altitude depth of an object relative to a fixed level which in this case the fixed level is the top of sea. Since the depth in this case is below sea level, it will be negative.
Thus,the altimeter will read -1000 ft
Answer:
The dolphins are shown 1,000 feet below sea level. The altimeter reading would be -1,000 feet.
Step-by-step explanation:
which expression is equivalent to 6^-3?? options: a: -6^3 b: 3^6 c: 3 weird dash 6, d: (1 over 6) ^ 3
Answers
Answer:
d: (1/6)^3
Step-by-step explanation:
6^-3 = 1/216
a) (-6)^3 = -216
b) 3^6 = 729
c) sorry i don't know what you mean by weird dash haha
d) (1/6)^3 = 1/216
hopefully this helps :)
What is the length of the midsegment DE? (Round to the nearest tenth, if necessary) SOMEONE PLEASE BRO HELP ME OUT
Answers
Answer:
10.6 i think
Step-by-step explanation:
i think it's 10.6 because 18.9-8.3=10.6
Answer:
The midsegment is 13.6
Step-by-step explanation:
To calculate the mid segment, find the average of the two bases.
[tex]\frac{8.3+18.9}{2} =\frac{68}{5}=13.6[/tex]
Choose the best estimate for the length of a piece of notebook paper.
A. 2 in.
B. 5 in.
C. 11 in.
D. 17 in.
Answers
Answer:
11 in
Step-by-step explanation:
Standard paper is 11 x 8 inches
find The distance between the point A= (1,2). B= (7,-6)
Answers
Check the photo
What is the correct answer?
Answers
Answer:
C. [tex]\sqrt{3x^2+21x}[/tex]
Step-by-step explanation:
When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.
[tex]\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}[/tex]
2.) Find g(-3) for g(x) = 2x + 2
Answers
Answer:
g(-3) = -4
Step-by-step explanation:
g(-3) = 2(-3) + 2
g(-3) = -6 +2
g(-3) = -4
Answer:
x=-1
Step-by-step explanation:
hope this helps
Simplify : (2x3 – 3x2 – 8) – ( – 5x3 –2x2 + 7x2 – 3)
Answers
Step-by-step explanation:
(2*3-3*2-8)-(-5*3-2*2+7*2-3)
(6-6-8)-(-15-4+14-3)
(12-8)-(-15-18-3)
4-33-3
37-3
34
The daily cost of hiring an electrician,Y, to work x hours on an electric job can be modeled using a linear function. The electrician charges a fixed costs of $75 plus an additional cost of $50 per hour. The electrician works a maximum of 7 hours per day
For one day of work, what is the range of the function for this situation?
A 0<_ x <_ 7
B 75 <_ y <_425
C 0<_ x <_ 9
D 50 <_ y <_ 575
Answers
Answer:
im sorry i dont know
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
(LOOK AT PHOTO)
Answers
Answer:
Five less than the number than....... 8/n - 5 +7
Eight more than the product........ 8 +7n - 2
Five times the sum..... 5(n+7)
Twice the difference.... 2 (8-n)
Answer:
Blue:
[tex] \frac{8}{n} - 5 + 7[/tex]
Green:
[tex]8 + 7n - 2[/tex]
Orange:
[tex]5(n + 7)[/tex]
Purple:
[tex]2(8 - n)[/tex]
what is 1000tan+546-(645-1)
I WILL REPORT U IF U AREN'T SYDNEETEAL
Answers
answer:
538.89576473...
next time you have a math question use ma th way or ma th papa it'll save you points
Find and simplify an expression for the area of three rows of m squares with side lengths of m centimeters .
The area is __ square centimeters.
Answers
Answer:
The area of the shape is 3m³ square centimetres.
Step-by-step explanation:
We know that the area of single square is m² cm².
There are m squares per row, so for the area of the row, we multiply that by m, giving us m³ cm².
Finally, we know that there are three rows, so we need to multiply that by three, giving a total area of 3m³ cm²
If ∠1 and ∠2 are vertical angles and m∠1 = 128°, find m∠2.
Answers
In respοnse tο the questiοn, we may say that As a result, the measure οf angle 2 is 128°.
what are angles?An angle is a fοrm in Euclidean geοmetry that is made up οf twο rays that meet at a pοint in the centre knοwn as the angle's vertex. Twο rays may cοmbine tο fοrm an angle in the plane where they are situated. An angle is generated by twο planes clash. They are referred tο as dihedral angles. An angle in plane geοmetry is a pοtential cοnfiguratiοn οf twο radiatiοns οr lines that represent a terminatiοn. The wοrd "angle" cοmes frοm the Latin wοrd "angulus," which meaning "hοrn." The vertex is the place where the twο rays, alsο knοwn as the angle's sides, meet.
Vertical angles are generated by twο crοssing lines that fοrm pairs οf οppοsing angles. Vertical angles are cοngruent, which means they have the same dimensiοn.
Because 1 and 2 are vertical angles, they have the same length.
Knowing that m1 = 128°, we may deduce that m2 = 128°, as they are both vertical angles.
As a result, the measure of 2 is 128°.
To know more about angles visit:
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In the given figure, If ∠1 and ∠2 are vertical angles and m∠1 = 128°, find m∠2.
4. Describe the zeroes of
f(x) = 4x^5 + 48x^4 + 144x^3
with multiplicity
with multiplicity
Answers
Answer:
392
Step-by-step explanation:
Answer:
Final answer: x=0 m:3 and x=-6 m:2
Step-by-step explanation:
1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.
2. 4x³(x+6)(x+6)- Factored
3. 4x³ = 0 Set each factor equal to zero
4. x+6=0 x+6=0
So, x= -6, two times, mulitiplicity 2
So, 4x³=0, so x=0 three times, mulitiplicity 3
Final answer: x=0 m:3 and x=-6 m:2
Which number line shows the solution to the inequality n + 6 < 4?
Answers
Answer:
D) The very last one
Step-by-step explanation:
n + 6 < 4
n < -2
< means it's an open circle and goes in the LEFT direction
CLOUDISTHERO/cloudisthero here are your extra points so you'll answer my latest Question and if your not them do not answer or i will not hesitate to report thank you.!!!
Answers
Answer:
uh ok just give me the link to the question and I will see if I can help you :)
Step-by-step explanation:
Answer:
SUre.
Step-by-step explanation:
0.034 yards to 60 feet as a fraction
Answers
Answer:
17/10000
Step-by-step explanation:
not completely sure
The fraction is 17/10000.
What is fraction?A fraction is shown as a numerical value that describes a portion of a larger whole. A fraction can be a portion or section of any quantity taken from a total, where the total can be any number, a particular value, or an object.
Given ratio 0.034 yards to 60 feet
and to convert it in simplest form
we know 1 yard = 3 feet
and 0.034 yard can be written as 34/1000
so 34 yards = 3 x 34 feet
34 yards = 102 feet
34/1000 yards = 102/1000 feet = 51/500 feet
and ratio = 0.034 yards/60 feet = (51/500)/60
= 51/30000
17/10000
Hence the ration in fraction is 17/10000.
Learn more about fraction;
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The Complete Question is; Express each ratio as a fraction in its simplest form: 0.034 yards to 60 feet
the fundamental unit of the metric system is ______. A. meter B. liter C. kilometer D. gram
plss answer it
Answers
Answer:
meter
Step-by-step explanation:
please help! it’s due in 3 hours and i really need the answers!
*ignore the top one
Answers
Answer: Third option
Step-by-step explanation: Hope this helps :)
Answer:
C.
Step-by-step explanation:
14/3 = 4.66
/2/=2.33
-14/4 = -3.5
So the numbers are 4.66, 4.3, 2.33, 1.3, -2 and -3.5
So the numbers are -14/4, -2, 1.3,/2/, 4.3, 14/3
I hope I helped! Pls leave a rating and a heart if I did!
The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.
Answers
Answer:
The number could be [tex]-7.5[/tex] or [tex]8[/tex].
Step-by-step explanation:
I'm going to assume this means "The square of a number is 60 greater than half of the number." Let the number be [tex]x[/tex]. The square of [tex]x[/tex] will be [tex]x^{2}[/tex]. "is" denotes that we use the "[tex]=[/tex]" sign, so our equation so far is [tex]x^{2} =[/tex] . Half of [tex]x[/tex] is [tex]\frac{1}{2}x[/tex], and "greater than" implies addition, so [tex]60[/tex] greater than [tex]\frac{1}{2}x[/tex] is [tex]\frac{1}{2}x+60[/tex]. Therefore, the equation is [tex]x^{2} =\frac{1}{2}x+60[/tex].
Solving for [tex]x[/tex], we get:
[tex]x^{2} =\frac{1}{2}x+60[/tex]
[tex]2x^{2} =x+120[/tex] (Multiply both sides of the equation by [tex]2[/tex] to get rid of the fraction)
[tex]2x^{2} -x-120=0[/tex] (Subtract [tex]x+120[/tex] from both sides of the equation to make it easier to solve)
[tex]2x^{2} +15x-16x-120=0[/tex] (Split [tex]-x[/tex] into [tex]15x-16x[/tex] to make the LHS easier to factor)
[tex]x(2x+15)-8(2x+15)=0[/tex] (Take a common factor out of the first two terms and the last two terms)
[tex](2x+15)(x-8)=0[/tex] (Take another common factor out)
[tex]2x+15=0,x-8=0[/tex] (Zero Product Property)
[tex]x=-7.5,8[/tex] (Solve)
Hope this helps!
Which Quadrilateral might have sides measuring 3” 5” 8” and 6”?
Answers
Answer: a parallelogram
Please give me the correct answer.Only answer if you're very good at math.Please don't use a link to a website.
Answers
Answer:
6 is the answer for your box :) Double checked :)
Step-by-step explanation:
25.12 = 1/3(12.56h)
multiply both sides by 3 to get rid of the fraction
75.36 = 12.56h
divide both sides by 12.56
6 = h
h = 6
Answer:
h = 6
Step-by-step explanation:
25.12=12.56/3 h
25.12 x (3/12.56) = h
h = 6
An artist buys 36 tubes of oil paint, 6 paintbrushes, 3 canvases, and 2 jars of paint thinner. What is the ratio of paintbrushes to tubes of oil paint?