Given:
The complex number is [tex]i^{34}[/tex].
To find:
The value of given complex number.
Solution:
We have,
[tex]i^{34}[/tex]
It can be written as
[tex]i^{34}=i^{32+2}[/tex]
Using properties of exponents, we get
[tex]i^{34}=i^{32}i^{2}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]i^{34}=i^{4\times 8}i^{2}[/tex]
[tex]i^{34}=(i^4)^8i^{2}[/tex] [tex][\because (a^{m})^n=a^{mn}][/tex]
We know that, [tex]i^4=1,i^2=-1[/tex].
[tex]i^{34}=(1)^8(-1)[/tex]
[tex]i^{34}=(1)(-1)[/tex]
[tex]i^{34}=-1[/tex]
The value of [tex]i^{34}[/tex] is -1. Therefore, the correct option is C.
What is the solution to this system of equations?
X+ 2y = 4
2x-2y = 5
O (3.-53
0
(3.)
no solution
infinitely many solutions
Answer:
X+2y=4
4+2y=x
2(2+y)=x
2x-2y=5
2(x-y)=5
x-y=5/2
Answer:
(x, y) = (3, 1/2)
Step-by-step explanation:
x + 2y = 4
2x - 2y = 5
There is more than one way to do this. I will do it by substitution.
From the first equation, x + 2y = 4, so x = (-2y) + 4
Now, in the second equation, I will replace x with (-2y + 4)
2(-2y + 4) - 2y = 5
-4y + 8 -2y = 5
-6y + 8 = 5
-6y = -3
6y = 3
y = 3/6
---------------------------------> y = 1/2, one part of the answer
Now I can go back to the first equation, and relpace 'y' with 1/2
x + 2(1/2) = 4
x + 1 = 4
-----------------------------------> x = 3, the other part of the answer
So now we believe the solution is (x, y) = (3, 1/2)
Now check the answer, back in the original equations!!
------> In the first equation, we would have 3 + 2(1/2) = 4.
3 + 1 = 4
That is true
-------> In the second equation, we would have 2(3) - 2(1/2) = 5
6 - 1 = 5
That is true
Our answer is found and checked.
(x, y) = (3, 1/2)
The price of an item has risen to $196 today. Yesterday it was $80. Find the percentage increase
Plz solve as a ordered pair Plz
I need help on question 21. can u help me
Answer:
11.7
Step-by-step explanation:
After selling half his old games, Sam went and bought 8 new ones. He
now has 30 games. How many did he start with?
Answer: He started with 44
Step-by-step explanation: 44/2=22
22+8= 30
I’ll GIVE YOU BRAINLYIEST1. A triangle has coordinates at X(3, 7), Y(6, 7) , and Z(4, 2) . Dixie created transformed the triangle so that the new coordinates were X(- 3, - 7) , Y^ prime (-6,-7) and Z^ prime (-4,-2) . Which rule best describes this transformation?
A. (x, y)—>(x, -y)
B. (x, y)—>(-x, -y)
C. (x, y)—>(-x, y)
D. (x, y)—>(x - 6, y - 2)
Answer:
B. (x, y) → (-x,-y)
This rule is given triangle is reflection about origin or
Rotation clockwise or counter clock wise with 180°
Step-by-step explanation:
Explanation:-
A triangle has coordinates at X(3,7),Y(6,7) and Z(4,2)
The Rule ( x, y)→ ( - x, -y)
This rule is given triangle is reflection about origin or Rotation clockwise or counter clock wise with 180°
X( 3,7) → X¹ ( -3,-7)
Y(6,7) → Y¹ (-6,-7)
Z(4,2) → Z¹( -4 ,-2)
Isaiah's regular hourly rate is $12.50. When he works overtime he receives an hourly rate of 1½times his
regular hourly rate. What is Isaiah's hourly overtime rate?
Find the vertical asymptote.
Y= 3 over x+5 x=? Whats is the vertical asymptote
Answer: Maybe x = -5
Step-by-step explanation: Your equation isn't making complete sense to me. But since it sounds like x+5 is in the denominator, if I had to guess, I'd say when x = -5. This is when the denominator equals 0. Since we can't divide by 0, it's an asymptote.
Use the Addition Property of Zero to rewrite the statement.
12-(g+0)
Answer:
12-g
Step-by-step explanation:
Answer:
12-g
Step-by-step explanation:
what was the total number of fans at the game?
Answer:
C. 500
Step-by-step explanation:
15% OF 500 is 75
Drag each equation to the value that makes it true.
Answer:
1).5d=7
5×14=70
2).d-6=8
18-6=8
3).1/3.d=6
1/3×18=6
4).180÷d=10
180÷18=10
5).d+1/3=1
2/3+1/3=1
acute isosceles
obtuse isosceles
acute scalene
equiangular equilateral
Answer:
obtuse isosceles
Step-by-step explanation:
isosceles angles
8. Carter is saving up for a playstation. He has $120 right now, and can save $25 a month. If
the playstation costs $195, how many months must he save?
Answer:
Carter has to save for 3 months.
Step-by-step explanation:
120+25x=195
If you add 25 to 120, 3 times you get 195.
Therefore your answer is 3 months.
Mark brainliest pls and thank you.
What is the sum?
2 + (-4) =
Answer:
-2 is your answer i hope this helps
How do i solve this |6x-3|=7
Answer:
x=5\3,-2\3
Step-by-step explanation:
Please help I’m doing points
3 7/8
Hope this helps! :D
Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID
소
C
What is the length of segment CD?
Answer:
4
Step-by-step explanation:
I took a quiz
its scale factoring, please help thanks
Identify a chord that is not a diameter of the circle
Answer:
i think it is B
Step-by-step explanation:
Hey there Ms or Mr could you please help me out with this problem?
just a heads up this an assignment not a test it's about quadrilaterals/parallelograms.
Answer:
you forgot they/them pronouns are important!
Step-by-step explanation:
David wants to donate $400 to a charity. He has already saved $125. He earns $9 each day at his after-school job. What is the least number of days that David must work to earn $400?
Answer:
About 31 days
Step-by-step explanation:
Since he already has $125, you can subtract that amount from how much he needs to earn. $400 - $125 = $275 that he must earn.
Divide the remaining amount by how much he earns a day to find the number of days he must work to reach his goal.
$275 ÷ $9 ≈ 30.5 (I got 30.5 repeating). I rounded up to 31 days.
What is the average rate of change from week 2 to week 4?
Time in
Weeks
1
2.
3
4.
Number
of
Bacteria
200
400
800
1600
800 Bacteria per Week
400 Bacteria per Week
1200 Bacteria per Week
600 Bacteria per Week
Answer:
I do not know but u try hard
Last one for the day! Your welcome I said your welcome cmon now say thank you, Bru say Thank you rn, cmon now ! "thank you" Aww so nice of you matter fact Hell nawl I had to remind you to say thank you now you gotta do me a favor , Cmon dont be rude i just helped you why dont you do me a favor like i did you follow my twitter racks10k follow my insta racksfym cmon now its only right
Answer:
Umm Ok I will
Step-by-step explanation:
Go and follow his account.
Answer:
.....I have no words...
Step-by-step explanation:
PLEASE HELP
Kayla and John are reading a graphic novel. Kayla has read 35 pages and is now
reading 20 pages per day. John has read 85 pages and is now reading 10 pages per
day.
3. How long will it be before Kayla and John have read the same number of
pages?
Answer:
Five days
Step-by-step explanation:
Show instructions
Questions 1-5 of 5 | Page 1 of 1
Question 1 (1 point)
A cab company charges $2 per cab ride, plus an additional $2 per mile driven. If a cab ride is 7 miles long, how
much will it cost?
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Blank 1:
Question 2 (1 point)
Rachel has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing.
Write an equation that shows the relationship between the hours spent writing h and the total pages written p.
What is this number in numeric form?
four and two hundred fifty-nine thousandths
Answer:
.4259
or 4.259
Step-by-step explanation:
I D K if the and is a point or just an and.
:) hope this helps
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 3x + 74
Step-by-step explanation:
Which is the answer?
Answer:
c
Step-by-step explanation:
in desperation it divided 4 x 6 -12 which operational will do you do first addition be subtraction multiplication division
what the answer
pls answer pls
Answer:24-12=12
Step-by-step explanation:
A rectangle is 3 yards long and į yards wide . What is the area of the rectangle? Enter your answer as a fraction in simplest form by filling in the boxes
Answer:
the area is 3i as a fraction would be 3i/1
Step-by-step explanation:
Thanks