Simplify over the set of complex numbers sqrt(- 1)

Answers

Answer 1

Answer: i

Step-by-step explanation:

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


Related Questions

A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full

Answers

Answer:

81 inches^3

Step-by-step explanation:

The empty space at the top is

3 inches wide by 9 inches long by (12-9) inches tall

3*9*3 = 81 inches^3

22. One factor of x² + 2x - 8 is

Answers

Answer:

(x-2)(x+4)

Step-by-step explanation:

x² + 2x - 8 = x² + 2x +1 - 9 = x² + x +x+1 - 9 = x(x+1) +(x+1) - 9

                 = [tex](x+1)^{2}[/tex] - [tex]3^{2}[/tex]

                 = (x+1-3)(x+1+3)

                 = (x-2)(x+4)

. A professora colocou em uma urna 25 bolinhas vermelhas, 15 bolinhas azuis e 10 bolinhas amarelas, todas do mesmo tamanho. Ela solicita a um aluno que retire uma bolinha sem olhar. Qual a probabilidade do aluno retirar uma bolinha azul? * 10 pontos (a) 25/50 (b) 15/50 (c) 10/50 (d) 45/50

Answers

Answer:

(b) 15/50

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 25+15+10 = 50 small balls.

Of those, 15 are blue.

Probability of taking a blue ball:

15/50

This means that (b) is the correct answer.

what percent of 420 is 70​

Answers

Answer:

16.67

Step-by-step explanation:

Answer:

16.67

Step-by-step explanation:

70:420*100 =

(70*100):420 =

7000:420 = 16.67

Please answer asap!!!!!!!!

Answers

I think Jeff’s because it’s a deeper bag which can hold more
Jeff’s box holds more popcorn.

Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *

Answers

Step-by-step explanation:

The table is not given, but

The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)

And

The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).

5/3

Step-by-step explanation:

take the 3 then add it again then you add 3 and get 5/3

Find the area of the parallelogram

Answers

Answer:

120 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 15*8

A =120

What is 2x+3=x+15 pls help

Answers

Answer:

x = 12

Step-by-step explanation:

2x+3=x+15   (subtract x from both sides)

2x + 3 - x = x + 15 - x

x + 3  = 15 (subtract 3 from both sides)

x + 3 - 3 = 15 - 3

x = 15-3

x = 12

Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:

Answers

Answer:

x = 4

Step-by-step explanation:

Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.

x = 4 is your only answer choice that is less than 11, therefore is your only answer.

~

Answer:

none of the above, you need a lesser number

Based on the graph below, what is f(2)? plzz answer quickly!

Answers

Answer:

-2

Step-by-step explanation:

From the position of 2 on the x axis, just trace down to the graph.

Where the trace intersects the graph, then trace this point to the y-axis

This gives -2

Answer:

The answer is (-2)

Hope this helps!

put these fractions in order of size, smallest to largest 1/3 2/5 3/8

Answers

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)

Answers

Answer:

B

Step-by-step explanation:

2 x 2 = 4 - 3 = 1

4 x 2 = 8 + 3 = 11

It takes Carrie 58 minutes to get home.

If Carrie leaves for home at 1:32, what time will she arrive?

Answers

Answer:

she gets home at 2:30

Step-by-step explanation:

each store is offering a different promotion

Answers

Answer:

Ddddddddddddddddddddddddd

Sid starts with savings of £13
Tim starts with no savings

Each week from now,
- Sid will save £3.50 and Tim will save £3

In how many weeks will Sid and Tim have savings in the ratio 17 : 9

Your final line must say, 17 : 9 in weeks

Answers

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

[tex]x=\frac{117}{19.5}[/tex]

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

what is the square root of 3.375​

Answers

Answer: 1.83712

Step-by-step explanation:

Answer:

[tex]\sqrt{3.375}[/tex] = ~1.837

Unit 5. 6) Please help. A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?

Answers

Answer:

V = 20 cm^3

Step-by-step explanation:

density = mass / volume

2.7 grams/ cm^3 = 54 grams / V

Multiply V on each side

 V *2.7 grams/ cm^3 = 54 grams / V *V

Divide each side by 2.7

 V  = 54 grams / 2.7

V = 20 cm^3

Answer:

The correct answer is option 2, 20cm.

please answer from the attachment

Answers

Look at the attached picture

Hope it will help you..

Good luck for the test...

(◕ᴗ◕✿)(ʘᴗʘ✿)

what is 6 1/5 + (-7 3/5)

Answers

Answer:

-1.4 or -7/5

Step-by-step explanation:

make them improper then subtract

Answer:-1.40

Step-by-step explanation: 6 1/5= 6.20 and (-7 3/5)=-7.60

 6.20 = -7.60 is the same as 6.20-7.60=-1.40

The sum of a number and 12, divided by 4, is -7

Answers

Answer:

-40

Step-by-step explanation:

Work backwards

4 * -7 = -28

-28 - 12 = -40

a) -3 · x = -21

b) -7x + 16 = 2x - 20
help pls

Answers

a) x=7, you divide both sides by -3 to get x by itself.

b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
a) -3x=-21
x=-21/-3
x=7

b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4

A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?

Answers

Answer:

475

Step-by-step explanation:

1021-71

950/2

One of the first things we notice in this dream is an
amazing universalism. It does not say some men, but it
says all men. It does not say all white men, but it says all
men, which includes black men. It does not say all
Gentiles, but it says all men, which includes Jews. It does
not say all Protestants, but it says all men, which includes
Catholics.
- "The American Dream,"
Dr. Martin Luther King, Jr., 1964
How does this passage make use of an appeal to
logos?
It explains what "all men" means and what it
includes.
It relies on the use of the word "amazing."
It focuses on the use of negative words.
It points out differences in religion.
Intro
Done

Answers

When talking about logos, we look for strong words and phrases, as well as repitition.

1. Elimination

The answer is surely not "It relies on the use of the word 'amazing.'" This is because it is not important, and not repeated. If we were to remove this word, this secton of the speech would still be powerful.

The answer is not likely to be "It focuses on the use of negative words." This is because negative words are not included in this, so there isn't a focus on them.

The answer is not "It points out differences in religion" because mentioning religion was a small detail. It doesn't point out the differences in religion, but rather points out there are different religion. Nonetheless, this is just an example to prove MLK's point and wouldn't be right anyway,

2. Conclusion

Because we have eliminated all answers but one, we skip a few steps. We now must justify why the answer is the remaining choice.

The answer is most likely "It explains what 'all men' means and what it includes." This is because not only is this statement the evident main idea, it also includes the powerful repitition that is utilized to display a message.

If we were to apply this to another section of a Martin Luther King Jr. speech, "I Have a Dream", we would find the answer includes thw words "I Have a Dream". This line could be considered the most quotable and well-known quotes related to social justice. The line is repeated many times, with elaborations, just as "all men" is.

Please let me know if this helped, or if you have any questions! If you wouldn't mind, I'd be very grateful for a rating! Thank you!

Answer:

A. It explains what “all men” means and what it includes.

Step-by-step explanation: It told me once I got it wrong because the answer on here was useless. Good luck on your assignment!

pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes

Answers

Answer:

what grade are you in so i can help

Step-by-step explanation:

The golden gate bridge is 2.7 kilometers long. Grace walks across it taking photos. She takes a photo at the beginning and the end of the bridge, and every .3 kilometers along the way. How many photos does she take altogether?

Answers

Answer:bl

7564w

Step-by-step explanation:

u9ytrfgufugugt4g7gf7rgfr47ufu4fjgccfffffeeeeeeeeeeeeeeeeeedftggfdfdcvbg vfrvf

A regular hexagon has sides of 3 feet. What is the area of the hexagon?

27 √3 ft 2
18 √3 ft 2
9 √3 ft 2
13.5 √3 ft 2

Answers

Answer:

13.5√(3) ft^2

Step-by-step explanation:

In this, question, we are to calculate the area of the hexagon

Mathematically, we can calculate the area of a hexagon using the formula;

A = {3√(3)/2}a^2

where a is the length of the side which is 3 feet

substituting the value of 3 into the formula, we have;

A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2

Answer:

13.5√(3) ft^2

Step-by-step explanation:

Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)

Answers

Answer: rational

Step-by-step explanation: because the number is rational hopefully

Answer: Rational numbers are numbers that never end. Any numbers that are able to be written in fraction form is a rational number. That includes integers, repeating decimals, terminating decimals, and fractions. Therefore, 50.24 is a rational number.

Step-by-step explanation:

Hope this help! I had the same question on edge✅

Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve

Answers

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

Isaak is writing an explicit formula to represent the sequence.

64, 112, 196, 343, ...

What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

0.75
1.75
58
279

Answers

Answer:

a(n) = 64*(7/4)^(n - 1)

Step-by-step explanation:

Dividing 112 by 64 results in the common ratio 7/4.

Dividing 196 by 112 also results in the ratio 7/4.

So we can safely assume that the common ratio here is 7/4.

The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)

Answer:

1.75

Step-by-step explanation:

1.75 is the value

I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.

Answers

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

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