Which of the following is equivalent to the complex number i^5
Choose 1 answer:
1
i
-1
-i

Answers

Answer 1

Answer:

i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then

[tex]i^{5}[/tex]

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i


Related Questions

What is the volume of the can? SHOW WORK.

Answers

Answer:

[tex] V_{can} = 480\: cm^3[/tex]

Step-by-step explanation:

Height of the can (h) = 12 cm

Area of top (A) [tex]=40\: cm^2[/tex]

[tex]V_{can} = Area * Height[/tex]

[tex]\implies V_{can} = 40 * 12[/tex]

[tex]\implies V_{can} = 480\: cm^3[/tex]

Mrs. Welloff has just passed away, she has a $1,000,000 life insurance policy and her beneficiaries are her son and 3 grandchildren. She will leave 50% of her estate to her son and the other 50% to her three grandchildren equally. How much money will they each receive?
Son_______________
Grandchild #1_______________ Grandchild #2_______________ Grandchild #3_______________

Answers

Answer:

Step-by-step explanation:

1/2 of 1,000,000 is 500,000

the son will get 500,000$

now 500,000 divided by 3(since it's 3 grandkids) is

166666.66, because it's money, and you have to round to the nearest cent.

one will get 166666.67, but it doesn't matter who.

so

grand #1 = 166666.66$

grand #2 = 166666.66$

grand #3 = 166666.67$

raymond wants to know the costs of buying different numbers of songs for his mp3 player the cost of each song is the same let s represent the possible number of songs ramond could buy let d represent the amount of money

Answers

The values of s in correspondence with the values of d are as indicated in the answer below.

What are the missing values of s and d?

It follows from the complete task content that the missing values in Raymond's table are required.

From the first row, it follows that 2 MP3 songs goes for 2.58.

On this note, the ratio of d to s; d/s = 2.58/2.

Ultimately, the missing values can be evaluated by just substituting d and s into the equation for each case.

Remarks:

Fill in the table for all missing values of s and d.

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PLEASE HELP !!! These box plots show daily low temperatures for a sample of days in two different towns. Which statement is the most appropriate comparison of the spreads? Town A 10 15 20 30 55 Town B 5 20 30 40 55

Answers

Answer: 20

Step-by-step explanation:

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Round Volume answers to the nearest hundredth.

A) Find the volume of the cylinder. V=

B) Find the volume of the cone. V=

C) What fraction of the cylinder's volume is the cone's volume?

Answers

The volume of cylinder is 2352π in³ while the volume of cone is 784π in³. The volume of the cylinder is three times the volume of the cone

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Volume of cylinder = π * radius² * height = π * 14² * 12 = 2352π in³

Volume of cone = (1/3) * π * radius² * height = (1/3) * π * 14² * 12 = 784π in³

The volume of the cylinder is three times the volume of the cone.

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venti cold brew coffee has approximately
300 mg of caffeine. The average person
eliminates 13% of the
caffeine
every hour. How much caffeine would be in your body after 4 hours?

Answers

The answer is:
144mg

Working out/ Explanation:
13% of 300mg = 39
39 times 4 = 156
300mg - 156mg = 144mg

Hope this helps!
Please give Brainliest!

-
[3 x 25 – 13 × (-2)] + 23
(-22 + 32) - 3
Give your answer in simplest form.
Enter
What

Answers

Answer:

type this in M

a

t

h

w

a

y

Step-by-step explanation:This

will give the answer promise

Answer:

1029

Step-by-step explanation:

124 + 23 x 10 - 3 = 147 7 =1029

describe the transformations from the parent function f(x)=x2 to the function g(x)=(x-2)^2+5

A. 2 units down, 5 units to the left
B. 2 units down, 5 units to the right
c. 2 units to the right, 5 units up
D. 2 units to the left, 5 units up​

Answers

Answer:

C.) 2 units to the right, 5 units up

Step-by-step explanation:

The graph shifts left or right when a number modifies the "x" value before it is affected by any other number/function in the equation. This number is within parentheses with the "x". Subtracting a value moves the function to the right, whereas adding a value moves the function to the left. Therefore, since 2 is being subtracted from "x", the function has been shifted 2 units to the right.

The graph shifts up or down when the y-intercept changes. The y-intercept is the "b" value in a standard function. You can identify this value by plugging in zero to "x". If this number is positive, the function is shifted upwards, and if this number is negative, the function is shifted downwards. Therefore, since there is a 5 added to the equation, the function is shifted 5 units up.

The Line plot below shows the lengths of bolts Mr.Slivka found in his drawer He needs 16 bolts that are longer than 1 inch for a projector he is working on. Does he have enough bolts for his project. (Bolt Lengths) 2/8 4/8 6/8 1 whole 1 2/8 1 4/8 (Inches) A. yes there are 16 Bolts that have lengths greater then 1 inch, which is just enoguh. B. Yes. there are 18 Bolts that have lengths greater then 1 inch, which is more than enough. C. No there are only 3 bolts with lengths greater than 1 inch, which is not enough. D. No, there are only 12 bolts that have lengths greater than 1 inch, which is not enough.

Thank you if you answered this u get a good Answer :)

Answers

Answer:

the answer is D

Step-by-step explanation:

625 x 625 = ? What is the answer?

Answers

Answer:

390625 = 625 x 625

Step-by-step explanation:

calculator

What is the sum? startfraction 3 over x endfraction startfraction 4 over x squared endfraction startfraction 3 x 4 over x cubed endfraction startfraction 7 over x endfraction startfraction 3 x 4 over x squared endfraction startfraction 7 over x x squared endfraction

Answers

The expressions are algebraic expressions, and the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

How to determine the sum?

The expression is given as:

[tex]\frac{3}{x} + \frac{4}{x^2}[/tex]

Take the LCM of the expressions

[tex]\frac{3}{x} + \frac{4}{x^2} = \frac{3x + 4}{x^2}[/tex]

The above expression cannot be further simplified

Hence, the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

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Answer:

C on edge

Step-by-step explanation:

3x+4/x^2

What is the volume of a right rectangular prism with a length of 19 centimeters, a width of 3 6 centimeters, and a height of 2.7 centimeters? A. 9.54 cm B. 14.85 cm C. 18.468 cm D. 43.38 cm​

Answers

Answer:

184.68cm

Step-by-step explanation:

19x3.6=68.4

68.4x2.7=184.68

I think the answer is C. and you accidentally put the dot in the wrong place.

I need help please! I will name the brainliest!

Answers

1) a:1 b:2
2) a:2 b:there is no b
3)a:-1 b:-3

What is
5/8
-
2/4
In its simplest form

Answers

[tex]\dfrac 58 - \dfrac 24\\\\\\=\dfrac 58 - \dfrac 48\\\\\\=\dfrac{5-4}8\\\\\\=\dfrac 18[/tex]

What is the volume of the rectangular prism?
PLEASE HELP ASAP

Answers

Answer:

7yd^2

Step-by-step explanation:

Calculate for volume as if its 1yd for cube, divide it by a third because each cube is 1/3 of a yard, square it.

Result: 7yd^2

please help me. please solve

Answers

Answer:

x = 3

Step-by-step explanation:

7x + 3 = 24 ( subtract 3 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Help now please !!!!

Answers

Answer:

Im sorry if you get this wrong but it should be the opposite like -3, -2 since its going on the other side for the y axis?

Step-by-step explanation:

2. Juliet coaches soccer and softball. She coaches both sports for a total of 18 hours each day. The soccer practice lasts 1.5 hours more than twice times as long as the softball practice.
(a) Write a system of equations to model the situation. Be sure to define your variables.
(b) How many hours each day does Juliet spend coaching each sport?
Show your work. Be sure to label appropriately.

Answers

An equation is formed of two equal expressions. Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Let the amount of time spent on soccer be represented by y, while the amount of time spent on softball is represented by x. Therefore, we can write,

x+y=18

y=2x+1.5

Hence, the system of equations to model the situation is x+y=18 and y=2x+1.5.

B.) Substitute the value of y from the second equation in the first equation, therefore,

x+y=18

x+2x+1.5=18

3x = 16.5

x = 5.5 hours

Substitute the value of x in the second equation, we will get,

y=2x+1.5

y=2(5.5)+1.5

y=11+1.5

y=12.5 hours

Hence, Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.

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How to convert it to an inequality

Answers

Please send the problem, thank you :)

the probability that the coin shows tails and is the number 2

Answers

Answer:

50%

Step-by-step explanation:theres only 2 sides on a coin

Answer: 50% , as likely as not .

Step-by-step explanation:

The probability of a 2 on the die is 1/6. The probability of a heads on the coin is 1/2. That means that (on average) half the time you roll a 2 you'll also get heads and the other half you'll get tails. What's half of 1/6?

The possibilities are:

1H 2H 3H 4H 5H 6H

1T 2T 3T 4T 5T 6T

So, it's 1/12 that you'll get a 2 and heads (on average).

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

Avery bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 40%. During the second year the value of the stock decreased by 10%.

Answers

Answer:

The value of the stock can be found by: x × 1.26.

Step-by-step explanation:

The value of the stock in year one can be found by multiplying x by 1.4. This will represent a 40% increase in value. The following year, the stock decreases in value by 10%; this is represented by multiplication by 0.9. For example, if the value of the stock was $5:

5 × 1.4 = 7                    (A 40% increase in value)

(5 × 1.4) * 0.90 = 6.3   (A further 10% decrease in value)

Rather than writing out the long version, we can simplfify by multiplying 1.4 by 0.9 to get 1.26 .We can also replace 5 with x to get a more general equation.

A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?


A) 11/14

B) 1/7

C) 2/13

D) 75/91

Answers

Answer:

2/13

Step-by-step explanation:

4/14 × 7/13  when i simplify it becomes 2/13!!!

The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.

What is Probability?

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of getting a blue marble at the first try is,

Probability(Blue) = Number of blue marbles / Total number of marbles

                            = 4 / 14

The probability of getting a red marble at the second try is,

Probability(Red) = Number of Red marbles / Total number of marbles

                            = 7 / 13

The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is,

Probability = Probability(Blue) × Probability(Red)

                   = (4/14) × (7/13)

                   = 2/13

Hence, the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.

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The credit card industry works similar to the cigarette industry. what reasons caused culture to change its view of cigarettes over the past few decades? what do you think would need to happen to change america's view of credit cards?

Answers

The credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.

What is credit card?

A credit card is a sort of payment card that uses a line of credit rather than the account holder's cash deposits to make purchases.

Tobacco use can have a negative impact on personal finances due to the sheer high price of tobacco products, wasted pay owing to sickness absence, plus hospitalization rates due to the higher risk of illness associated with smoking use.

If you let that debt grow, you may find that the amount of interest you owe equals or even exceeds your original principal, forcing you to spend a lot just to pay it off.

Thus, the credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.

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for the given literal equation z=a/b + c/d .solve for D

Answers

An equation is formed of two equal expressions. The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given literal equation z=(a/b)+(c/d) can be solved for D as,

z-(a/b) = (c/d)

(zb-a)/b = c/d

d = cb/(zb-a)

Hence, The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

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A pack of six pencils costs 5 times as much as a single pencil. A single pencil costs 9 cents. How much does the pack of six pencils cost?

Answers

Answer:

im sorry I dont know

What are the solutions for the following system of equations?
−2x2 + y = 6
4x² + 3y = 28
(0, 6) and (1, 8)
(0, 6) and (-1, 8)
(-1, 4) and (1,4)
(-1, 8) and (1,8)

Answers

The solution of the system of equation are (1,8) and (0, 6)

How to find solution of a system of equation?

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam

Which statement describes the following expression? 2 x (1,635 ÷ 101)

2 times the value of 1,635 minus 101
2 times the value of 1,635 times 101
2 times the value of 1,635 divided by 101
2 times the value of 1,635 plus 101

Answers

Answer:

2 times the value of 1635 divided by 101.

hope it helps :))

Please i need help, i have to clean my room before my dad gets home a but first i have to do my homework and he is on his way home!!!
tino works at a retail clothing store as a sales clerk and part of his paycheck is based on commission, meaning that it is determined by the value of the clothes that he sells. each week, he earns $7 an hour plus 15% of his total sales. if tino works for 18 hours and sells $538 in clothes in a certain week, what is the amount of his commission? what is his total pay for that week?

Answers

I found the answer for you

GIVING BRAINLIEST!!!!!

Answers

Answer:

The slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3

Solution:

Correct option is

Slope of the line [tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]x_1=-2,y_1=-5[/tex] and [tex]x_2=-6,y_2=7[/tex]

∴ [tex]m=\frac{7-(-5)}{(-6)-(-2)}=\frac{12}{-4}=-3[/tex]

Therefore, the slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3

Elliot has a total of 26 books. he has 12 more fiction books than nonfiction books. let x represent the number of fiction books and y represent the number of nonfiction books. which system of linear equations represents the situation? x y = 26 and x y = 12 x y = 26 and x – y = 12 x y = 26 and –x y = 12 x – y = 26 and x y = 12

Answers

Answer:

X+Y=26

X-Y=12

Step-by-step explanation:

fiction books= X

non fiction books= Y

then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

X+Y = 26

X-Y=12

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