Which of the following is equivalent to the complex number i^16?

Which Of The Following Is Equivalent To The Complex Number I^16?

Answers

Answer 1

Answer:

A

Step-by-step explanation

i = [tex]\sqrt{-1}[/tex]

i² = ([tex]\sqrt{-1}[/tex] )² = - 1

i³ = i² × i = - 1 × i = - i

[tex]i^{4}[/tex] = i² × i² = - 1 × - 1 = 1 , then

[tex]i^{16}[/tex]

= [tex](i^4)^{4}[/tex]

= [tex](1)^{4}[/tex]

= 1


Related Questions

Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25

Answers

Answer:

its D/ 56.25

Step-by-step explanation:

because the other numbers are too small

He earns $56.25 because you multiply 12.50 by 4.5 hours.

The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth ​

Answers

Answer:

median is 10 or 12 and the mean is 10.6

Step-by-step explanation:

7, 8, 10, 12, 13, 14

I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics

Answers

8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX  NX NNDND

Answer:

The translation 3 units down and 5 units to the left

Step-by-step explanation:

Graph of |x| is the one starting in the origin and the other one is the other picture

how to write y-2=-1/3 (x+6) in standard form and why PLZ HELP

Answers

[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]

Simply move -2 to another side.

[tex]y=-\frac{x}{3}-2+2[/tex]

Distribute -1/3 in (x+6)

[tex]y=-\frac{x}{3}[/tex]        ---> Answer

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute

y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )

y  = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .

Answers

Answer:

5 hours

Step-by-step explanation:

To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:

180/60 = 3

So, Alexa babysat for 3 hours on Saturday.

Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!

I hope this helps!!

- Kay :)

Solve this inequality for X.
81 – 11: < 55
OA. 1 > 21
I < 113
OB.
Ос.
3
OD.
I< -21

Answers

Answer:

infinity

pick any answer, its a trick question, it says, SOLVE INEAQUALY

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in ​​​​​​​3 liters?
F.101 fl oz
G.33 fl oz
H.10 fl oz
J.89 fl oz

Answers

Answer:

G.

Step-by-step explanation:

Please help will mark the brainliest

Answers

Answer:

y=-x-2 this is the answer

The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?

Answers

Answer:

m=y8+2x

Step-by-step explanation:

Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?

Answers

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

the ratio of 82 and 73​

Answers

Answer: 82:73

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?

7x+8(x+1/4)=3(6x-90-8

Answers

Answer:

exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3

Step-by-step explanation:

Answer:

First result: X = 248/3 or 82.67    Second result: X = 260/3 or 86.57

Step-by-step explanation:

1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)

              7x + 8x + 2 = 18x - 270 - 24

                 15x + 2 - 2 = 18x - 246 - 2

                  15x - 18x = 18x - 18x -248

                -3x = 248  -->   -3x/3 = 248/3

                    X = 248/3 or X = 82.67

2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8

                  7x + 8x + 2 = 18x - 270 - 8

                   15x + 2 - 2 = 18x - 262 - 2  

                    15x - 18x = 18x -18x - 260

                   -3x = 260 --> -3x/3 = 260/3

                        X = 260/3 or X = 86.67

Sorry if none of these are the answer!

Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%

Answers

Answer:

54.67 Dollars

Step-by-step explanation:

82 / 3 = 27.33, 82 - 27.33 = 54.67 :D

Answer:54.94

Step-by-step explanation:

In an equation, y varies directly as x varies. If y = 72 when x = 12 what is the value of x when y = 48?

Answers

Answer:

8

Step-by-step explanation:

y=kx where k is a constant.

72=12k

k=72/12=6

y=6x

48=6x

x=48/6=8

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!

Answers

Answer:

x = -2, y = -9

Step-by-step explanation:

You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.

y = 2x -5 will become

4x - 1 = 2x - 5

Add 5 to both sides

4x + 4 = 2x

Subtract 4x from both sides

4 = -2x

Divide both sides by -2

-2 = x

Now we plug this number into an equation to find y.

y = 4x - 1 becomes

y = 4(-2) - 1

Simplifying it, we have:

y = -8 - 1

y = -9

24 hour fitness charges $250 as a registration fee and $15 per month. How much would you pay to be a member of 24 hour fitness for a year?

Answers

Answer:

430 dollars per year

Step-by-step explanation:

The formula to use is...

C=250+15x

C is the cost per year

250 is the flat fee

15 is the cost per month

x is the number of months

11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

between 7 and 23

Step-by-step explanation:


A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then
selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?
A)1/5
B)2/5
C3/5
D)4/15
HELP ASAP ILL GIVE BRAINLIEST

Answers

i would say the answer is d if it’s supposed to say 4/5 instead of 4/15

1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth

Answers

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

Cuantos minutos hay en 4 horas

Answers

Answer:

240

Step-by-step explanation:

Answer:

240 minutos.

Step-by-step explanation:

How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.

PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG

Answers

Answer:

5 hours

Step-by-step explanation:

Let x represent the amount of hours that ralph can do.

Let y represent the money he earned.

Let m represent how much he earns per hour.

Let b represent the initial fee

y=mx+b

y=33x + 24

189=33x+24

Solve for x:

189=33x+24

165 = 33x

x=5

Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?

Let x represent the number of $5 bills and let y represent the number of $10 bills.

Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.

Answers

Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so

x + y = 32

In terms of value, there is a total of $220. The equation for it is

5x + 10y = 220

The 2 equations which best represent the scenario are

x + y = 32 (I)

5x + 10y = 220 (II)

To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is

1) Multiply (I) by -5:

-5x - 5y = -160 (III)

2) Add equation (III) to equation (II):

-5x - 5y = -160

5x + 10y = 220

0x + 5y = 60 (IV)

3) Solve equation (IV)

5y = 60

y = 12

4) Replace value of y in equation (I) and find value of x:

x + 12 = 32

x = 20

In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.

Answer: x=20 and y=12

Step-by-step explanation:

NEED HELP ASAP ILL GIVE BRAINLIST
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?

Answers

Answer: the first one. the graph is right side up.

Answer:

fuffufufufufufufufufufufufufufuufufufufufufufufufufufufufufffuffuffuffuufufuf

Step-by-step explanation:

HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?

Answers

Answer:

The answer would be 18 ft tall

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

Which number line represents the solution set for the inequality -1/2x>4

Answers

Answer: D

Step-by-step explanation: D because if your turn 1/2 into a decimal point it 0.5 (don't forgot to add the negative) and so i then divided -0.5 from x and just got x then you have to do the same for the other side. So i took 4 and divided it by -0.5 and got -8 to the expression would be x is greater then or equal to -8. you plot the dot at -8 and the line goes in front of it because it is lesser or equal to x (remember you reverse the problem if you say it back words so don't get confused), but after my long explanation just pick D

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

What is 16 percent of 4?

Answers

Answer:

0.64

Step-by-step explanation:

% besically means out of 100 so:

16/100 times 4

64/100

0.64

16 percent of 4 is 0.64
Other Questions
What are the advantages of being an Inca How do small food molecules such as glucose get from ur gut to the cells Which of the following statements best explains the data collected by the student shown in the above table? SOMEONE PLEASE HELP ME WITH THIS PLEASE PLEASE PLEASEE!!!!! Use the drop-down menus to complete the sentences.Confucianism was adopted by theLegalism was the philosophy of theA strong bureaucracy grew under theGOT THE ANSWERS ITS HAN DYNASTY , QIN DYNASTY, AND HAN DYNASTY COMMENT FOR POINTS!! I need help on what a slope and y-intercept and how to find the equation Find 622. Use the distributive property. Omg I need help this to epic for me but fr I need helpppppp if a bag has 22 orange 18 red and 8 blue marbles what is the probability, that I draw blue marble, keep it, then draw another blue marble? What do sweat and sebaceous glands have in common? Check all that apply.They are both exocrine glands.They are both located in the cutaneous membrane.They both secrete a substance that keeps skin soft and moist.They both regulate body temperature. 3Fe + 4H2O ----> Fe3O4 + 4H210 g of water vapour are passed on 16.8 g of iron which is heated till redness find the limiting reactant Expand and simplify 2(5x + 3) - 2(2x - 3) why is ford worshipped in the society Which point lies on the circle x^2+y^2=100A (0,-100)B (10,-10)C (25,75) Select the correct answer.Which term has a degree of 8?O A. 9xy8B.8yO c. -2.7375OD. 3x2y4Algebra 2 Latitudinal differences in surface warming give rise to global patterns of air circulation and rainfall. At the equator and the latitudes of 60 degrees ____. At the poles and the latitudes of 30 degrees _____.A.cold, dry air sinks; warm, moist air rises and loses moisture as rainB.warm, moist air rises and loses moisture as rain; cold, dry air sinks this was for my other question i put the wrong picture still answer 14.15.16 Explain how to calculate this mentally1. 15is the percentage of 302. 3 is what percentage of 123. Six is what percentage of 10 The years 1050 to 1300 have been described as Europe'sa. Low AgesC. High Agesb. Middle Agesd. High Middle Ages I almost got nothing done yesterday; I did one small chore, but other than that I just sat around and watched movies all day.