how to evaluate higher powers of i

Answers

Answer 1

Answer:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

i^8 = 1

i^9 = i

Step-by-step explanation:

Anything raised to 0 is 1

Anything raised to 1 is itself

I just always knew i^2 = -1

I put this rest into the calculator honestly

But if you look at the stuff from i^2, you'll notice there's a pattern (-1, -i, 1, i) and it repeats. I bet if you raise i to the 10th, 11th, 12th, and 13th power, it is going to repeat the same pattern. I hope this helps in any way.


Related Questions

Hello!! I have a question, can you please answer it. ^^


The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

Answer:

1. 75

2. 1

Step-by-step explanation:

Help me it’s urgent please

Answers

If it was not decimals I could have helped you Sorry

Express 5/9 as a recurring decimal

Answers

Answer:

the answer is 0.55555555555

Answer:

0.5 with a "_" on top of the 5

Step-by-step explanation:

14 is whatpercent of 25

Answers

Answer: the answer is 56

Hope this Help

Step-by-step explanation:

100%= 25

X%= 14

100%=25(1)

X% = 14(2)

100%/x% = 25/14

X%/ 100% = 14/25

X=56%

The price of a pair of jeans increases from £45.00 to £47.50.

What is the percentage increase in the price of the jeans?

Give your answer correct to 1 decimal place.

Answers

The price increase is 5.56%

HELP PLEASE I REALLY NEED IT I WILL GIVE YOU A BRAINLEIST

Answers

Answer:445.05 commission is for the first question

Step-by-step explanation:7.5% to the sending question. I will only give half ok hope I helped

SORRY MY ANSWER WAS WRONG I HAD TO DELETE AND WRITE THIS INSTEAD PLEASE REMOVE MY POINTS

Tehehehe help me again pls

Answers

Answer:

944

Step-by-step explanation:

(8x10x5)+(17x8x4)

V=944ft the formula and the work is in the pic

Iris found a value of 1
64
when she evaluated an expression.

Answers

Answer: Options A. 2^-6 and C. 4^-3 are equivalent to 1/64

Step-by-step explanation: hope this helps :D

Answer:

A. 2 -6 and C. 4 -3

Step-by-step explanation:

(8x^2 + 4x - 6x^2)2 + 7x^2 - 2x
ALgebra
Only nerds can solve this

Answers

Answer:

11x2+6x

Step-by-step explanation:

Answer: its either 21x^2 +2x or 11x^2-6x Im not sure which one is solved correctly :/

Step-by-step explanation:

8x^2+4x-6x^2+2+7x^2-2x

21x^2 +2x

or

(8x^2+4x-6x2)2+7x^2-2x

-12x^2+8x+16x^2+7x^2-2x

11x^2-6x

idrk an easy way to solve this lol

Answers

Answer:

math math math ;D

Step-by-step explanation:

afdgdfgdagf

find the number that makes the ratio equivalent to 1:8​

Answers

Divide any number by 9. Then then ur answer times 1 then times 8.

Example 9:9=1 1 and 8

36:9=4. 4 and 32

Jillian has a total debt of $36. She is trying to pay back $4 each week for the next 4 weeks. If Jillian is successful, which amount will represent the change in the amount of her debt?

-$8
-$12
-$16
-$20

Answers

Answer: $8

Step-by-step explanation:

Total Debt : $36

Every Week Paying Back: $4

So in 4 weeks so earns a total of $28 to pay back.

36 - 28 = 8

$8 is left to pay

----

so the answer is $8

Jillian pays 4$ every week so it would be 4x4 which is $16 in 4 weeks so the amount remaining would be $20

6. Draw the graph of the linear equation 3x - y = 3. Hence find the
coordinates of the point where the graph intersects y-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.

(3, 4)
(5, 3)
(-2, 2)
(-3, -1)

20 Brainly points!

Answers

The answer is -3, -1

Answer:

-3-1

Step-by-step explanation:

4x – y = 7 3y – 12x = –21

Answers

Answer:

y=4x-7   3(4x-7)-21x=-21     12x-21-12x=-21 -21=-21

Step-by-step explanation:

Step: Solve
4
x

y
=
7
for y:
4
x

y
=
7
4
x

y
+

4
x
=
7
+

4
x
(Add -4x to both sides)

y
=

4
x
+
7

y

1
=

4
x
+
7

1
(Divide both sides by -1)
y
=
4
x

7

Step: Substitute
4
x

7
for
y
in

12
x
+
3
y
=

21
:

12
x
+
3
y
=

21

12
x
+
3
(
4
x

7
)
=

21

21
=

21
(Simplify both sides of the equation)

21
+
21
=

21
+
21
(Add 21 to both sides)
0
=
0

I’m desperate Please help don’t answer if you don’t know

Answers

Answer:

I'm pretty sure the equation would be b=4×12, the answer would be b=$48.00

Step-by-step explanation:

PLZZZ HELP I WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?


Enter your answer by filling in the box using an integer.


x y
9 5
12 8

Answers

Answer:

x-4=y

Step-by-step explanation:

9-4=5

12-4=8

Answer:

9,5

step-by-step explanation:

Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?

A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base

Answers

Answer:

I tried A.

Step-by-step explanation:

It's all like a fraction & multiplication type answer im if wrong correct me!

Answer:

i feel like it would be B

Step-by-step explanation:

Hopefully this helps!!!

A basketball team decided to sell cookies to raise money for an upcoming tournament. The players charged $3.00 for each cookie they sold. In 4 days, they sold 28 cookies. How much money could the team earn from selling cookies for six days at that same rate? * 25 points $126 $84 $42 $7 (Helping my daughter with math and i don't understand help pls :)

Answers

Answer:

187

Step-by-step explanation:

Answer:

$126

Step-by-step explanation:

They need to know how much money they would make in 6 days so we need to find out how much each day they make. so it would be 28/4 = 7 so they sold 7 cookies each day so it would be 7 * 6 (The days and the cookies multiplied then we do this by 3 dollars to figure out how much money) = 42 cookies * 3 = 126. I am glad I could help you!!

Yahir is buying ingredients to make his favorite pizza recipe for a party. At the first store he buys 3.4 pounds of pre-made dough, and at the second store he buy 4.8 pounds of the same dough. If he uses this dough to make 4 pizzas that are the same size, how much dough is needed for one pizza!

Answers

9514 1404 393

Answer:

  2.05 pounds

Step-by-step explanation:

The total amount of dough Yahir is using is ...

  3.4 lbs + 4.8 lbs = 8.2 lbs

The amount used for each of 4 pizzas will be ...

  (8.2 lbs)/4 = 2.05 lbs . . . . for one pizza

someone pls help mee with this question:) if you do tysm<33

Answers

Answer:

w = 35

Step-by-step explanation:

The angle adjacent to 125° is

180° - 125° = 55°

The 3 angles on the straight line sum to 180° , that is

90 + w + 55 = 180

w + 145 = 180 ( subtract 145 from both sides )

w = 35

please quickly and correctly solve the question in the image below.

Answers

Answer:

step 2

Step-by-step explanation:

he was not supposed to multiply by x

he was supposed to combine like terms

add -2x and 4x and add 6 and 5

Answer:

So he messed up on step 2

Step-by-step explanation:

At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How many people voted in the election?

Answers

Answer: 150 people voted in the election.

Step-by-step explanation:

Let x = Total number of votes.

Mason got [tex]\dfrac{x}{3}[/tex] votes.

Isabella got 40 votes, Amelia got 60 votes.

Then,

Combined votes = [tex]40+60+\dfrac{x}{3}=x[/tex]

[tex]100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150[/tex]

Hence, 150 people voted in the election.

If AB = 8x + 5, CB = 10x - 1, and BD AC, solve for x. (picture included, please help, no need to show work)

Answers

x = 3

Step-by-step explanation:

AB = CB

8x + 5 = 10x - 1

8x - 10x = -1 - 5

-2x = -6

x = 3

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Find the mean of the following data: 0, 5, 30, 25, 16, 18, 19, 26, 0, 20, 28

Answers

Answer:

17

Step-by-step explanation:

In order to find a mean in a data set you need to be able to add all numbers provided than divided them by the numbers given. which in this case

- 0+5+30+25+16+18+19+26+0+20+28= 187

- There are 11 number given so we take:

187/11

187/11= 17

Have a nice day!

Find the volume of each cylinder. (use nr = 3.14)

Answers

Answer:

V = 8591.04 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

V is volumer is radiush is height

Step-by-step explanation:

Step 1: Identify

Radius r = 12 ft

Height h = 19 ft

Step 2: Find Volume

Substitute in variables [Volume of Cylinder]:                                               V = π(12 ft)²(19 ft)Evaluate exponents:                                                                                      V = π(144 ft²)(19 ft)Multiply:                                                                                                           V = 2736π ft³Substitute π:                                                                                                   V = 2736(3.14) ft³Multiply:                                                                                                           V = 8591.04 ft³

A store owner notes that 1 out of 4 customers do not make a purchase. How many customers need to come into the store in order for the owner to make 85 sales?

Answers

Answer:

340 customers.

Step-by-step explanation:

1 out of 4 = 25% purchase rate

85 × 4 = 340

To check our work:

25% of 340 = 0.25 × 340 = 85

need help asap 20 points. thank u in advance

Answers

Answer:

$50 and $6

Step-by-step explanation:

(x-6)(250-5x)=0

250x - [tex]5x^{2}[/tex] - 1500 + 30x = 0

-5x^2 + 280x - 1500 = 0

(divide everything by -5)

x^2 -56x + 300 = 0

(factorise)

(x-50)(x-6)=0

x=50, x=6

A temperature in degrees Fahrenheit is shown in expanded notation. ( 9 × 10 ) + ( 4 × 0.1 ) How is this temperature in degrees Fahrenheit written a numeral?

Answers

Answer:

90.4 degrees.

Step-by-step explanation:

(9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

The Temperature in Fahrenheit  is 90.4 F.

What is Expanded form?

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so forth, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

Given:

Expanded notation. ( 9 × 10 ) + ( 4 × 0.1 )

Now, simplifying the expression

= (9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

Hence, the Temperature in Fahrenheit  is 90.4 F.

Learn more about Expanded form here:

https://brainly.com/question/17837892

#SPJ5

Of the 960 students writing an examination in a school, 840 are expected to pass. The estimated probability that a randomly chosen student will fail the examination is

Answers

Answer:

1/8

Step-by-step explanation:

960 (total students) - 840 (students expected to pass) = 120 (students expected to fail)

120/960 = 1/8

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