Which of the following is equivalent to the complex number i^17

Answers

Answer 1

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

Answer 2

The value for [tex]i^{17}[/tex] is i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

We have,

i = √-1

i² = -1

i³ = (i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

We see that,

If the power is an even number we get 1 and -1.

If the power is an odd number we get i and -i.

Thus,

i¹⁷ = i

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Related Questions

Check the month and dollar value that represent a correct ordered pair.

In April Cathy's Clothmart had a profit of $3,000. In May the profit was $4,000 dollars. In June the profit was $5,000.

$2,000,
July,
$4,000,
April,
May,
$1,000,
June,
$6,000,

Answers

Answer: $1,000.

Step-by-step explanation:

You would add $1,000 for each month you're trying to save. y=1000x

The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. What was the difference between seventh and eighth grade enrollment in 2008?

Answers

Answer:

20

Step-by-step explanation:

Answer:

You answer is 20, Blessings :]

Step-by-step explanation:

7.RP.1,2 Alissa mows yards to earn spending money. She earns $20 for each yard she mows. Using y, for yards, and m for money, which equation represents the amount of money she will earn after mowing y yards?
A. m = 20y
B. m = 20+ y
C. y = 20m
D. y= 20/m​

Answers

Answer: a

Step-by-step explanation: I am 97% sure

Answer:20y

Step-by-step explanation: 20y multiplies and shows the  amount of money she would make per yard 20 (y) (how many yards) which is y    

pls help i have a d in algebra

If x - 3 = 1, then what is the value of x^2 - 3x - 1

A. 1/12
B. 1/9
C. 3
D. 9

Answers

The awnsey too this question is 1/12

The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D

Answers

Answer:

D and E

Step-by-step explanation:

Answer: d and e!

Step-by-step explanation:

:)

can someone help me on this. i dont understand it at ALL. please du~mb it down beacuase i am not smart at all.

Answers

Answer:

So basically you have to create a set of coordinates like (3,2) to create a linear function. Make sure to make a linear equation and represent it through a graph or table. Then take its coordinates.

An example is the table I attached. It is a linear function.

y = 4x is the linear equation.

(2,8) is the coordinate.

Hope I helped in time!

:)

Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £

Answers

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50

Given

mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°

Find mZBOC:

Answers

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°


What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16

Answers

Answer:

288 cm^2

Step-by-step explanation:

Area of Triangle: 1/2bh

1/2(36)(16)

1/2(576)

288

216 is the real answer i took the test.

In which of the following cases would you most likely buy a point when closing on a home loan? The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years. b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years. The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years. d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years. Please select the best answer.​

Answers

Answer:

D.

Step-by-step explanation:

Snigdha can type 550 words in half an hour how many words would she type in 6 minutes​

Answers

Answer:

110

Step-by-step explanation:

took the same test 1 week ago

Answer:

110 words

Step-by-step explanation:

What we know:

- Snigdha can type 550 words in 30 minutes

1) Find how many words they can type in 1 minute

To do this, divide 550 words by 30 minutes:

550÷30=18.3333... words

Therefore, Snigdha can type approximately 18 words in one minute.

2) Multiply 18 words by 6 minutes

18.3333...×6=110

Therefore, Snigdha can type 110 words in 6 minutes.

I hope this helps!

Liu chose an integer. She added 3. Then, she multiplied the sum by -7. The answer was 84. What integer did Liu choose?

Answers

Answer:

-15

Step-by-step explanation:

let the integer be x.

-7(x+3)=84

Step-by-step explanation:

let the integer be x

(x+3) -7 =84

-7x-21=84

-7x=84+21

-7x=105

divide both sides by -7

x= -15

Write an
explicit formula for An, the nth term of the sequence 9, 16, 23, ....

Answers

someone help meeeee

Answer:

2+7n

Step-by-step explanation:

)
The perimeter of a rectangle must be no
greater than 70 meters. The width must be 13
meters. Find the greatest possible value for the
length of the rectangle.

Answers

Answer:

length equals to 22 bcoz the width is 13*2=26 and than u do 70 minus 26 to get 44 than divide by 2 to get the length 22

NEED ASAP!! ILL GIVE YOU 30 points!!
Hopt decided to sell some mimstoons (x) and kents (y). Altogether,
she planned to sell at least 8 items.
Write an inequality showing the above constraint.

Answers

Answer:

X+Y is greater then or equal to 8

Step-by-step explanation:

In total she wants to sell at least 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling

Hiromi spends 100 minutes on a research project. Al spends 1/2 ​ of the time Hiromi spent on his research project. How many hours did Hiromi and Al spend on their research projects altogether?

(Mixed number and fraction)

Answers

Answer:

                                                                   

Step-by-step explanation:

150 minutes total. That is 2.5 or 2&1/2 hours together

Answer plz and ty. i'll give you brainlist if you can give a short explanation. if you put a not so nice or relevent answer i will do the same to you....

Answers

Answer:

C.

Step-by-step explanation:

4000x3.2% =128

128÷12=10.6666666667

10.6666666667x8 months =85.3333333336 so round to 85.33

85.33+4000= 4085.33

I need help asap !!! please show how you did the work please please ​

Answers

what is the question i cant see the image attached
What’s the question???

Can someone please help and explain? Will give brainliest to most helpful

Answers

Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?

Answers

Answer:

the maximum amount of people would be 288, 500 and the minimum would be 271,500

Step-by-step explanation:

basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum

There could be up to 288.500 persons present, with a minimum of 271,500.

What is an expression?

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.

Maximum = 2800000 + 8500 = 288,500

Minimum = 271,500 - 8500 = 263000

Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.

To know more about an expression follow

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Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). Denny commissions a market survey to test this hypothesis. The market researcher used a random sample of X families from each suburb, and reported the following:

1 = X times per month and 2 = X times per month. Assume that σ1 = 2 and σ2 = 3. With α = .01, the appropriate decision is:_________

Answers

Answer:

Step-by-step explanation:

From the information given:

let [tex]\mu_1[/tex] be the men of the population 1 (Raymondville) and [tex]\mu_2[/tex] be the mean of the population 2 (Rosenberg).

Here the Restaurateur wants to prove that Raymondville residents dine out more often than Rosenberg residents.

i.e [tex]\mu_1 > \mu _2[/tex]

The null hypothesis and alternative hypothesis:

[tex]H_o : \mu_1 \le \mu_2 \\ \\ H_a: \mu_1 > \mu_2[/tex]

[tex]H_o : \mu_1 \le \mu_2\ \ vs \ \ H_a: \mu_1 > \mu_2 \implies \text{upper tailed test}[/tex]

The shows that this test is one-tailed with the rejection area on the right side.

The appropriate decision: is to reject [tex]\mathbf{H_o}[/tex] if the test statistics is greater than the critical value)

Find the value of each variable in the parallelogram

Answers

9514 1404 393

Answer:

  k = 7

  m = 8

Step-by-step explanation:

The diagonals bisect each other, so each half is equal to the opposite half.

  k +4 = 11 . . . . down-sloping diagonal

  k = 7

__

  m = 8 . . . . up-sloping diagonal

Cassie hit a golf ball. The function f models the height of the ball above the ground (in meters) as a
function of time (in seconds) after Cassie hit it.
MARK BRAINLIEST

Answers

Answer:

your answer will be (0,25)

Step-by-step explanation:

have a nice day and good luck with your test ^_^

The point that corresponds to the ball's maximum height on the graph is (4, 80).

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Cassie hit a golf ball.

The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.

We can see from the graph that the highest point the ball could reach is 80 units.

Therefore, The point that corresponds to the ball's maximum height is (4, 80).

Learn more about points lying on the graph of a function here:

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RADICLES

Simplify square root 98

NEEDD HELP ASAP PLEASE!!!!

Answers

Answer:

your answer is D

Step-by-step explanation:

22 matchboxes are packed in a carton. How many cartons will
be needed to pack 682 such matchboxes?​

Answers

Answer:

31

Step-by-step explanation:

682 ÷ 22 = 31 That's the solution

what is 3.333 divide by 10

Answers

Answer:

0.3333

____________

The answer is 0.3333! Have a great day or night!

whats the answer to m=18+12​

Answers

Answer:

m = 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

10 + 10 = 20

8 + 2 = 10

20 + 10 = 30

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
8000+
7000
6000
5000 -
Elevation (meters)
4000
3000
2000
1000
200
400
1600
an 00 1009 1200 1400
Time seconds)
Will mark brainiest

Answers

What’s the question?
I have the same exact work I did in maths let me find it

How many 2/3 cup servings are there in a container that holds 7 cups?

Answers

Answer:

10.5

Step-by-step explanation:

5) Which number is greater than 985,887 0 985,599 O 984,978 986,331 985,770​

Answers

Answer:

986,331

Step-by-step explanation:

Hello!

Answer:

Your answer sould be 986,331!

Step-by-step explanation:

Hope this helps! Have a good day/night! <3

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