What is (-i)^3
A. -i
B. i
C. -1
D.1

Answers

Answer 1

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer 2

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]


Related Questions

A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.

[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?

Answers

Answer:

4t/15

Step-by-step explanation:

Please trust me

Solve the math problem

Only solve 3 and 4

Answers

Answer:

nothing is being showed

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) Cost of o balloons = 0

4) It represents a proportional relation ship.

Reason

[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]

27 dived ( 3 + 6 ) x 5 - 12

Answers

Answer:

I think its 3

yah it's 3.....

It is three using PEMDAS correctly

Round 0.41275 to the nearest thousandth

Answers

Answer:

0.41, 2 is lower than 5 so we round down

Answer:

0.41300

Step-by-step explanation:

0.41275.

0.4: tenths place. 0.01: hundredths place. ...

Now look at the next decimal place, which is 0.0007: the ten thousandths place . This number determines whether the thousandths place will be rounded up or down. ...

Therefore, 0.41275 rounded to the nearest thousandth is:

wus 9 + 10 equal please help wus 9 = 10

Answers

Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

How do you turn 3.0035 into a fraction?
explain?

Answers

Answer:

How do you turn 335 into a fraction?

Steps to convert decimal into fraction

Write 3.035 as 3.0351.

3.035 × 10001 × 1000 = 30351000.

607200.

Step-by-step explanation:

Answer:

3 7/2000 or 6007/2000

Step-by-step explanation:

You would keep simplifying the number .0035 which would simply into the 2000 place. Then you would know that 3 is already 6000, so find out .0035 which is 7 our of 6000. It's also like what is .0035 comverted into 3.

-18 = 3 (-z + 6) + 2z

Answers

Answer:

z = 36

Step-by-step explanation:

1) Distribute

-18 = -3z + 18 + 2z

2) Combine like terms

-18 = -z + 18

3) Subtract 18 from both sides of the equation

-18 - 18 = -z + 18 - 18

4) Simplify

a. Subtract the numbers

-36 = -z + 18 - 18

b. Subtract the numbers

-36 = z

5) Divide both sides of the equation by the same term

-36/ - 1 = -z/-1

6) Simplify

a. Divide the numbers

36 = -z/-1

b. Cancel terms that are in both the numerator and denominator

36 = z

c. Move the variable to the left

z = 36

-0.75___-3/4
which one is greater

Answers

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]

[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]

[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]

[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]

[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]

[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]

[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]

[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]

[tex]\large\text{Therefore, -0.75 and }\rm{-\dfrac{3}{4}}\large\text{ are equivalent to each other}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The number farthest to the right is the greater number.

Step-by-step explanation:

independent practice write linear equations lesson 6

Answers

Answer:

1)y=2x+7

2) unsure what the question is due to blur

3)y=3/4x-2

4)y=-2x

Answer:

Step-by-step explanation:

1) (1,9) ; slope = 2

Point slope form:

y - y₁ = m(x - x₁)

y - 9 = 2(x - 1)

Slope intercept form:

y - 9 = 2x - 2

    y = 2x - 2 + 9

 y = 2x + 7

3) (-4 , -5)  ; slope = 3/5

Point slope form:

y - y₁ = m(x - x₁)

[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]

Slope intercept form:

[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]

170 students or 85% of the students went to attend college what are the total number of students?

Answers

Answer:

200

Step-by-step explanation:

I think sorry if I am wrong

Apples are on sale at the grocery store at a price of 8 apples for $4.00. Maggie buys 12 apples. If she is charged the sale price for apples, how much will Maggie pay?

Answers

Answer:

$6

Step-by-step explanation:

The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
The percent decrease is approximately 0.14%.
The percent decrease is approximately 0.85%.
The percent decrease is approximately 14%.
The percent decrease is approximately 85%.

Answers

Answer:

The percentage of decrease is approximately 0.14%.

Step-by-step explanation:

35 - 5 = 30

What percentage is 5 of 35 (x/100 = is/of)

x/100 = 5/35 (cross multiply)

(5*100)/35 = 14.29%

it's C  

hoped this helped you with your problems

You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.

In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.

Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.

Answers

Step-by-step explanation:

3(100)2 + 17(100) - 20

3(10000) + 1700 - 20

30000 + 1700 - 20

31680

How many times does the line y=-1 touch the graph? (Ensure to draw your line on the graph)

Answers

Answer:

The answer is 2 times

Step-by-step explanation:

Well, the line y equals to negative 1 is a horizontal line that crosses through the y axis.

So, if we were to draw that line in how many times is that line intersecting or coming into contact with our graph well it's happening in these two places right here (shown in attached photo) so that would intersect two times.

Thus, The answer is 2 times

-TheUnknownScientist 72

How many video games were sold in the year 2001

Answers

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

Rena earns $665 a week, and she works 5 days a week. What is her daily
wage?

Answers

Answer:

133

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

665/5 = 133

c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.

How would you write the equation?

Answers

(94.50 - 18.50) ÷ f = a

f=family members

a=answer

I don't know how many family members there are, but you would just replace f with the amount.

if you help me you get brainly

Answers

Answer:

3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )

5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )

6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )

9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )

11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )

Step-by-step explanation:

Answer:

Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.

Step-by-step explanation:

Hope it helps. Mark brainiest if it does!

am i correct ?? for a brainly and pls explain

Answers

Answer:

Yes.

Step-by-step explanation:

Because

6*4 =24

and 4*0 = 0,

24+0=24

have a nice day!!!

Which equation demonstrates the additive identity property?
0 (7+4i)+(7-4i) = 14
O (7+4i)+ 1 = 7+4i
(7+4)(1) = 7+4)
O (7+4i)+(-7-4i)= 0

Answers

Answer:

A

Step-by-step explanation:

The Explication 0 (7+4i)+(7-4i) = 14

The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, If we add a real number to zero or add zero to a real number, then we get the same real number back.

Hence, The number zero is known as the identity element, or the additive identity.

For example: a + 0 = a

Hence, we can see that;

⇒ (7 + 4i) + 0 = 7 + 4i

Since, 0 is the additive identity here.

Thus, The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ7

decrease £7720 by 20%

Answers

Answer: Percentage decrease = 20% × 7,720

New value = 7,720 - Percentage decreaseNew value =

7,720 - Percentage decrease =

7,720 - (20% × 7,720) =

7,720 - 20% × 7,720 =

(1 - 20%) × 7,720 =

(100% - 20%) × 7,720 =

80% × 7,720 =

80 ÷ 100 × 7,720 =

80 × 7,720 ÷ 100 =

617,600 ÷ 100 =

6,176

New value - 7,720 =

6,176 - 7,720 =

- 1,544

Step-by-step explanation:

50PTS PLZ HELP ME I'M STUCK​

Answers

Answer:

m∠O = 80°

Step-by-step explanation:

m∠O = 4x - 20

m∠Q = 3x + 5

m∠O and m∠Q are congruent

4x - 20 = 3x + 5

Solve for x = 25

Plug back in

m∠O = 4(25) - 20

m∠O = 100 - 20

m∠O = 80°

How to find the Focus directrix and the lanth of the latus rectum of the equation below

Answers

I don’t know tell that person to figure it out.

Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answers

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture. Part A: Write an expression to represent the total amount of juice left in the jar. (5 points) Part B: Simplify the expression and identify which property is used in each step. (5 points)

Answers

Answer:

Part A: Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20

Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50

Answers

Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.

Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

A company has 24 employees. Each employee volunteers to bring 1 item to the local school fundraiser.

One-fourth of the employees bring pencils.
One-third of the employees bring paper.
The rest of the employees bring notebooks.
How many employees bring notebooks?

Answers

Answer:

6 employees bring pencils

8 employees brings paper

6+8=14

Company:24 employees- 14 employees who brong paper and pencils.=10 so 10 employees brings notebooks.

Step-by-step explanation:

Answer:

6 employees bring pencils

8 employees bring paper

10 employees bring notebooks

Step-by-step explanation:

1/4= 6

1/3= 8

the rest = 10

HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!

Answers

180-108= 172 172 divided by 5 is 14.4 z=14.4
180-67=113 y=113

Answer:

y=113, z= 36

Step-by-step explanation:

because complementary angle to y is isotope with angle 67 degrees so y=113

z=((180-113)+108):5

Which is equivalent to 4√3



will mark brainlist if right

Answers

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:


4√3 is equivalent to √48

3(6x+2)<9 solve the inequality

Answers

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

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