Simplify i31.

1
−1
i
−i

Answers

Answer 1

Answer:

D. -i

Step-by-step explanation:

I took the quiz and got a 100%

Answer 2

The required value of the complex number [tex]i^{31}[/tex] = -i.

Given that,
To determine the value of complex numbers [tex]i^{31}[/tex].

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is a complex number?

The number that are constitute of real and imaginary numbers are called complex number. complex number can be represents as z = a+ ib ,where a = real part and bi = imaginary part.

Here,
[tex]i^4 = 1[/tex] and [tex]i^3 = -i[/tex]

For complex numbers [tex]i^{31}[/tex]

[tex]=i^{31}\\=(i^4)^7.i^3\\=1.-i\\=-i[/tex]

Thus, the required value of the complex number [tex]i^{31}[/tex] = -i.

Learn more about complex numbers here: https://brainly.com/question/28007020

#SPJ5


Related Questions

if the mean of a negatively skewed distribution is 40 which of these values could be the median of the distribution
a.35
b.50
c.40
d.45

Answers

Answer:

c.40

plz mark brainliest if helpful

14 increased by 14 5/7​

Answers

28 5/7
• Increased means addition
• Add the whole number first
• 14 + 14 5/7 is equal to 14 + 14 + 5/7
hope this helps x

Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Time taken to receive order = 2 minutes

Ingredient mixing and cake loading = 8 minutes

Baking time = 30 minutes

Number of cakes oven can hold at a time = 3

Cooling time = 1 hour = 60 minutes

Cake packing = 2 minutes

Billing customer = 3 minutes

a. What is the capacity of the process, and what is the bottleneck?

The capacity of the process:

Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes

Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.

Hence, 3 cakes in 30 minutes ;

6 cakes in an hour;

Hence, capacity of the process is 6cakes per hour.

The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.

b. What is the throughput time for a typical cake?

The throughput time, is the summation of all the time taken to fully complete an order :

Receipt of order + mixing + baking + cooling + packing + billing

2 + 8 + 30 + 60 + 2 + 3 = 105 minutes

c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?

(Throughput time / 60) * average number of order

(105/60) * 5

= 1.75 * 5

= 8.75

Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left

Answers

Answer:

1/12

Step-by-step explanation:

3/4-2/3 = 9/12-8/12 = 1/12

HELP WILL GIVE BRAINLIEST to best answer

Answers

Answer:

A,B,C,D

Step-by-step explanation:

They are all the same equation on both sides of the equal sign and sense the variable is x on all of them whatever number you put on one side you have to put it on the other side therefore resulting in any solution you could think of.

tolong bantu jawab please, makasih sebelumnya!

Answers

Answer:

2x² - 3x - 2

Explain:

Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.

2x² + x - 4x - 2

Collect like terms.

2x² + (x - 4x) - 2

Simplify.

2x² - 3x - 2

what is 15 700 000 rounded to the nearest hundred thousandth

Answers

16,000,000 is the answer.

Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.

Answers

Answer:a

Step-by-step explanation:

Your $960 got an interest rate of 8.7% which was
compounded monthly for 3 years. What is your $960
worth after 3 years?

Answers

Answer:

D

Step-by-step explanation:

6. You earn 8% commission on sales. What is the commission if the sales
were as follows. 4 items at $1200,7 items at $650; 7 items at $600, and 6
items at $450? (no commas)*

Answers

Answer:

The total commission is=$1300

Step-by-step explanation:

The commission rate is a fixed number that applies to all the sales made by a salesperson. In our problem, the fixed commission rate is 8%, and the sales were as follows:

4 items at $1200 for a total of $4800. The commission is:

8% of 4800 = 0.08*4800 = $384

7 items at $650 for a total of $4550. The commission is:

8% of 4550 = 0.08*4550 = $364

7 items at $600 for a total of $4200. The commission is:

8% of 4200 = 0.08*4200 = $336

6  items at $450 for a total of $2700. The commission is:

8% of 2700 = 0.08*2700 = $216

The total commission is: $384+$364+$336+$216=$1300

The total commission is=$1300

how many many bricks can bob the dog use to make a wood chuck

Answers

Answer: none

Step-by-step explanation:

What are these questions, I want brainless btw

Answer:

Cats

Step-by-step explanation:

:)

The value of the the expression:
50 times the sum of 64 and 36?

3,236

2,354

4,104

5,000

Answers

Answer:

5000

Step-by-step explanation:

Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.

Lets put this together now!

50 x ( 64 + 36 ) = 50 x ( 100 )

                         = 5000

9 of 10
Work out
3 4.
2 +1
4 5
Give your answer as a mixed number
where appropriate.

Answers

I don’t understand the numbers you wrote

2ℓ + 2w for ℓ = 5.7 and w = 6.2.

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

The answer to this problem is 6.2

Step-by-step explanation:

The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2

Is 3b-8=13;-7 a solution?

Answers

Answer:

See below

Step-by-step explanation:

[tex]3b-8=13 \implies 3b=21 \implies \boxed{b=7}[/tex]

[tex]-7 \text{ is not a solution for the equation}[/tex]

Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here

Answers

25.5 × 10.09 = 257

Sig Figs
3

Decimals
0

Scientific Notation
2.57 × 102

Stella has 215 coins and 89 of them are nickels. Two-thirds of the remaining coins are pennies. How many pennies does Stella have?

A. 38
B. 42
C. 66
D. 84

Answers

Answer: 84

Step-by-step explanation:

215 - 89 = 126

126 divided by 3 = 42

42 x 2 = 84

( this was how my teacher taught me to do these kind of problems)

Hope this helps! <3

Answer:

The answer is 84

Step-by-step explanation:

got it right on edge :D

The water company installed a 40 yard diagonal brace on a water tower between two vertical beams that are 12 yards apart as shown. Determine the height of each vertical beam.

Answers

Answer:

The lengths of the legs of a right triangle are 15 meters each. The length of the hypotenuse of a right triangle is 50 inches.

Step-by-step explanation:

Here is thetower it is talking about (illistration)

- 2(3x + 4) - 2x - 5​

Answers

The answer is -8x-13 hope this helps

Can someone tell me why the answer for this absolute value equation is all real numbers? ​

Answers

Answer:

yo its not that hard it just means that it can be any number

13. In a recent Barangay election, Mr. Reyes won as Barangay Chairman with 3,074
votes. If there are 5,800 voters in the barangay, what percentage voted for Mr.
Reyes?
A) 12%
B) 47%
C) 53%
D) 88%​

Answers

Answer:

53%

Step-by-step explanation:

Total voters = 5,800

5,800= 100%

3,074=X

X=3,074*100/5,800= 53%

A square field has 3,844 sq. meters of land. What is the width of the field?

Answers

Answer:

The side length is 62 meters

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

3844 m^2 = s^2

Take the square root of each side

sqrt( 3844 m^2) = sqrt(s^2)

62 m= s

The side length is 62 meters

A company earns $175 a week for 10 weeks. It then has a loss of $87 a week for 15 weeks. At the end of the 25 weeks what is the company's balance?

Answers

Answer= 445
175 x 10 = 1,750
87 x 15 = 1305
1750-1305 =445

FIRST ONE TO AWNSER CORRECTLY GETS BRAINLEIST-1.8 + (2.1) Show your work

Answers

Answer:

0.3

Step-by-step explanation:

 2.1

-1.8

---------

0.3

21≥4x-15 solve
.....

Answers

Answer:

Inequality Form: x < 9

Interval Notation: (-∞,9)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

what is 2 times 80+ 185-40+699-59

Answers

Answer:

945

Step-by-step explanation:

Answer:

1730 (2 times the whole expression) or 945 (2 times the addend of 80) [what is implied when 80+ 185-40+699-59 is not in parenthesis]

Step-by-step explanation:

2 times (80 + 185 - 40 + 699 - 59) →

2 (80 + 185 - 40 + 699 - 59)

2 ((((80 + 185) - 40) + 699) - 59)

2 ((265 - 40) + 699) - 59)

2 (225 + 699) - 59)

2 (924 - 59)

2 (865)

1730

_____________________

2 times 80 + 185 - 40 + 699 - 59 →

2(80) + 185 - 40 + 699 - 59

(((160 + 185) - 40) + 699) - 59

((345 - 40) + 699) - 59

(305 + 699) - 59

1004 - 59

945

Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?

Answers

simone is 15 years old.

Answer:

15 years old.

Step-by-step explanation:

Amanda is currently 25 years old.

In 5 years of time, she will be twice as old as Simone.

25+5=30.

30/2=15.

Thus, Simone is 15 years old.

29023789236+8974937077834758371=

Answers

the answer is: 29110538606

If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)

Answers

Answer:

250,000

Step-by-step explanation:

4.25 x 10^5 is more than, the same as, or less than 425000?

Answers

Answer:

Your answer is " the same as "

Step-by-step explanation:

Answer:

same as

Step-by-step explanation:

10^5 is 100000, and 100 times 4.25 is 425, so it must be 425000! You're welcome!

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