Mathematics High School

Find the cube roots of unity in standard form (a+bi). Use exact values.

Answers

Answer 1

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like

here, gives rise to multiple values. The way we find them is by multiplying

by 1 before exponentiating. We write

using Euler's Identity to the

power for integer

. That's

Related Questions

Please someone help I really need it and please answer if you can give me the answer I will give brainleast just please help me with this

Answers

Answer: I tried to use the step by step explanation of your exercise, I hope Otis helping you and have a nice rest of your day :)

HURRY I WILL GIVE 100 pointssss!!!
A climber is on a hike. After 4 hours he is at an altitude of 800 feet. After 12
hours, he is at an altitude of 1400 feet. What is the average rate of change? *

Answers

Answer:

First Problem: 200 ft/hour Second Problem: 3 ft/hour

Step-by-step explanation:

R = D/T

So, 800/4=200

We will check if the rate matches for the second example rate:

1400/12=200. It does, so we know we are correct

Problem 2:

R = D/T

90/30=3

Hope it helps.

Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals. a) How much money was in the account after one year? b) How much money was in the account after 4 years? c) Was the amount of money earned in interest the same or different each year?

Answers

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

b) How much money was in the account after 4 years?

c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(1)]

= 500 [ 1 + 0.04] = 520

⇒Amount = $520

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(4)]

= 500 [ 1 + 0.16] = 580

⇒Amount = $580

In 2nd year,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(2)]

= 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount is same each year

pls answer asap!!ty!!
Please label the missing angles below.

Answers

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

399 divided by blank equals 3.99

Answers

399 divided by 100 equals 3.99

Answer:

100

Step-by-step explanation:

399/100= 3.99

im honestly not sure how to explain it.

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?

A 12%12%

B 22%22%

C 75%75%

D 88%

Answers

Answer:

[tex]88 \\ \\ \\ 25 - 3 = 22 \\ 22 \div 25 \times 100 = 88\%[/tex]

D 88%

If you make it into an easier number to work with like 100 you get that he brought 100 cupcakes to school and brought home 12. That means he brought home 12% of the cupcakes 100%-12% is 88% which is the amount he shared at school.

if a whole pizza has 2400 calories how many calories would you eat if you ate 5/6 of the pizza?

Answers

Answer:

2000 calories

Step-by-step explanation:

2400 / 6 = 400 calories per 1/6 of pizza

400 * 5 = 2000

Jerome discovered he had made an error when he measured one of the feathers. Which data value could be the error? Explain

Answers

Answer:

3/4

Step-by-step explanation:

From the plotted number line :

The Outlier value can be determined :

Q1 = 0.25(n+1)th term

Q1 = 0.25(21)th term = 5.25th = (2 1/4 + 2)/2 = 2.125

Q3 = 0.75(21)th term = 15.75th = 2 1/2

IQR = Q3 - Q1 = 2.5 - 2.125 = 0.375 = 3/8

Q1 - 1.5(IQR) = 2.125 - (1.5*0.375) = 1.5625

Q3 - 1.5(IQR) = 2.5 + (1.5*0.375) = 3.0625

Hence, Outlier values will be :

Values < 1.5625 and

Values > 3.0625

The Outlier value in the data is 3/4

LOOK AT THE PIC BELOW

Answers

Answer:

TO FIND THE AREA OF A RECTANGLE, THAT IS L×B OR L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ.

BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES.

THAT IS : PIRSQUARED. PI×R×R. THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS TWICE THE RADIUS. THAT IS : 90÷2 , THAT IS = 45.

SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :

PIRSQUARED = PI × R×R 3.14 × 45×45 OR 45SQUARED.

THAT IS : 6,358.5 FT SQUARED.

NOW 6,358.5FT SQ IS ONLY THE AREA OF ONE SEMICIRCLE. SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.

WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.

YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.

= 26,217FT SQ.

SINCE THEY ARE PROBABLY ONLY ASKING FOR THE AREA OF THE RECTANGLE, THEN THE ANSWER WOULD BE 13500FT SQ INSTEAD OF 26,217. NOT SURE

Answer:

C, 19858.5 [tex]ft^2[/tex]

Step-by-step explanation:

Imagine that these are two semi-circles on either side of a rectangle

the diameter of the semi circle is 90, and the radius is half of the diameter.

this means the radius is 45 (for both circles)

so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]

replace r with the radius [tex]\pi 45^2[/tex]

using 3.14 as pi, your answer should be 6358.5

but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25

since there's two semi circles, you would multiply this by two and now you're back to 6358.5

if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle

now calculate the area of the rectangle, which is length times width

150 * 90 = 13500

so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)

Wanna be the Brainiest

Answers

Answer:

156cm^3

Step-by-step explanation:

V= 1/2 a*c*h

a=3

c=8

h=13

3*8*13=312

312/2=156

What is the distance between these two points: (1, 2) and (9, 8)?

Answers

Dab = square root of ( xa - xb )^2 + (ya - yb)^2

square root of (1 -9 )^2 + (2 - 8)^2

square root of (-8)^2 + (-6)^2

square root of 64 + 36

square root of 100

10 units

Write an expression for the operation described below. r times 10

Answers

Answer:

r * 10

Step-by-step explanation:

* stands for multiplying.

Plzz help I'LL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

6th graders have more participators in extracurricular activities than 4th graders.

There are more 6th graders than 4th graders that participate in extracurricular activities.

Step-by-step explanation:

your answer for the first one. 6th graders have more than 4th gradersdoing activities.

your answer for the second one. There are more 6th graders than 4th graders that participate in extracurricular activities.

I forgot how to do this

Answers

to find the area of the rectangle, do A=lw which is 4x13=52. to find the area of the triangle, first find the height. this is 13-6=7. now do A=bh/2 which is (5x7)/2=17.5. 17.5+52=69.5 which is your answer. DONT OPEN ANY LINKS ON HERE, ITS A VIRUS

First you calculate the area of the rectangle.
It‘s simply one side times the other side.

In your task this would be:
4ft x 13ft = 52 square ft

Now you have to calculate the area of the triangle. The formula for this is: Height x Length of the base x 1/2

So in your task this would be:
7ft x 5ft x 1/2 = 17.5 square ft

(you get the 7ft by subtracting 6ft from 13ft, which results in the height of the triangle)

Now you just add those two surfaces areas together:
52 square ft + 17.5 square ft = 69.5 square ft

lord have mercy
please help me

Answers

Answer:

-24 and positive 2

Step-by-step explanation:

Need help with the answer please

Answers

The answer would be 42%

30 POINTS!
Find the value of x. The polygons are similar, but not neccesary drawn to scale.

Answers

Answer:

x = 8

Step-by-step explanation:

x=8

32/24=1 1/3

16/12=1 1/3

(y+1)/21=1 1/3 --> 26 is y

(x-1)/6=1 1/3 --> 7=(x-1) so 8-1=7 so x=8

HOPE THAT HELPS! :)

2. The store bought a pair of shoes for $60, and sold
it for $100. What percentage was the markup?

Answers

Answer:

33.3%

Step-by-step explanation:

Given data

Cost of shoes= $60

Selling price = $100

% markup = (selling-cost/cost)*100

% markup = (100-75/75)*100

% markup = (25/75)*100

% markup = (0.33333333333)*100

% markup =33.3%

Hence the markup is 33.3%

Four fifths of a number equals 11.

Answers

Answer:

13.2

Step-by-step explanation:

hope this helped

Answer:

13 3/4

Step-by-step explanation:

11 x 5/4 = 55/4 = 13 3/4

check:

13 3/4 x 4/5 = 55/4 x 4/5 = 210/20 = 11

What is the measure of the missing angle?

Answers

Answer:

Step-by-step explanation:

please hurry i have less than five minutes
Would you expect the line in the question described above (y=−9.25x−1.75y=−9.25x−1.75 ) would have a slope that points up and to the left or up and to the right? Why?

Answers

Answer:

Up and to the left.

Step-by-step explanation:

I checked it on desmos graphing calculator

HELP ME PLEASE NEED HELP PLZZZZ

Answers

C or the third one. You need to add janet’s 400+200 then subtract that total from Micheal’s score.

For every rider picked up, Uber charges a $5.50 fee plus $0.35 per mile. Write the linear function that represents the total cost of an Uber ride for any number of miles

Answers

Answer:

Y =0.35x

Step-by-step explanation:

You know you have to pay the 5.50 so that isn't going to change so that'd cleared up. Next .35 is multiplied every mile they drive

You have 10 gallons of lemonade to sell. 1 gallon is approxiamately 3785 cm3. Each customer uses one paper cup as shown. Hay many paper cups will you need?

the cups a cone shape with the radius of 8 cm and the height or 11 cm

A. 205

B. 312

C. 544

D. 78

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i think the answer would be D 78 hope it helps

please help me i dont know it
.

Answers

Answer:

Step-by-step explanation:

Natalia is was paying $165 for her cell phone plan with Sprint. She found a better deal with AT&T and switched companies and now pays $129. What is her percent savings to the nearest percent?

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im pretty sure she saved 22%.

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of
vinegar in a jar. She then pours 3 1/4 fluid Ounces of the dressing onto her salad.
How much dressing remains in the jar?

Answers

Answer:

6 11/24

Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

Find the perimeter of the window to the nearest tenth. 20cm

Answers

165.66371cm exact and 165.67 to 2d.p

20 + 20 = 40cm

2πr = 125.66371cm

125.66371cm + 40cm = 165.66371

Have a great day <3 (I'm happy)

Which models represent the sum?
0.4 + 1.4

Answers

Answer:

I think it's the first one and the second one

If x-1= k and k=3, what is the value of x
3

Answers

sub in the number
x-1=3
move 1 to the other side, making it positive
x=3+1
x=4

Answer:

x-1/3 = k where k=3

We must be happy enough to find the value of only one valuable here, that is, x.

therefore, x-1/3=3

To find what is x-1, all we need to do is,

Take the denominator of the fraction to the answer (3)and multiply them. (that's how you'll find the values in the numerator)

So, you'll get,

x-1=3*3

x-1=9

To find the value of x,

The other number (-1) should be taken to the answer (9)

(Remember that the sign changes when the number crosses the equals sign)

therefore,

x= 9 + 1 (-1 will turn to +1 on crossing the equal sign)

Therefore , by addition, normally,

you'll get x=10

Hope this helps:)

Other Questions

In medieval warfare, one of the greatest technological advancement was the trebuchet. The trebuchet was used to sling rocks into castles. You are asked to study the motion of such a projectile for a group of local enthusiast planning a medieval war reenactment. Unfortunately an actual trebuchet had not been built yet, so you decide to first look at the motion of a thrown ball as a model of rocks thrown by a trebuchet. Specifically, you are interested in how the horizontal and the vertical components of the velocity for a thrown object change with time. 1. Make a large rough sketch of the trajectory of the ball after it has been thrown. Draw the ball in at least five different positions; two when the ball is going up, two when it is going down, and one at its maximum height. Label the horizontal and vertical axes of your coordinate system.2. On the sketch, draw and label the expected acceleration vectors of the ball (relative sizes and directions) for the five different positions. Decompose each acceleration vector into its vertical and horizontal components.3. On the sketch, draw and label the velocity vectors of the object at the same positions you chose to draw your acceleration vectors. Decomposes each velocity vector into its vertical and horizontal components. Check to see that the changes in the velocity vector are consistent with the acceleration vectors. 4. Looking at the sketch, how does someone expect the ball's horizontal acceleration to change with time? Could you give a possible equation giving the ball's horizontal acceleration as a function of time? Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would someone determine these constants from the graph? 5. Looking at the sketch, how does someone expect the ball's horizontal velocity to change with time? Is it consistent with the statements about the ball's acceleration from the previous question? Could you give a possible equation for the ball's horizontal velocity as a function of time? Graph this equation. If there are constants in the equation, what kinematic quantities do they represent? How would someone determine these constants from the graph? 6. Could you give a possible equation for the ball's horizontal position as a function of time? Graph this equation. If there are constants in the equation, what kinematic quantities do they represent? How would someone determine these constants from the graph? Are any of these constants related to the equations for horizontal velocity or acceleration?7. Repeat questions 4-6 for the vertical component of the acceleration, velocity, and position. How are the constants for the acceleration, velocity and position equations related? what does tall and bold like a castle?? CH4 + 2O2 CO2 + 2H2O How many products are produced by this reaction?A.4B.2C.3D.1 PLEASE HELP!!!!Marvin is a builder. A client gave Marvin this diagram of the dimensions of the triangular shelves that he would like Marvin tobuild for his daughter's room.Unfortunately, the client only sent him one of the angle measurements needed.Which equation could be used to find the value of 2?A. 180 - [180-2(70)] = xB. 180 - 2(18) = xC. 180 - 70 = xD. 180 - 2(70) = x List any three programmes that adress or prevent unsporting behavior which puts sports and games into disrepute. Briefly explain how these programmes are used to curb(reduce) behavior that brings sport into disrepute. HELP PLZ!!!A chord is a diameter.-always-sometimes-never 1. El partido de hockey comenzara las 6:00 p.m.comenzar2. Yo cerrarmi oficina con llave (key).cerrar3. Y t, qu pensarde mi novio?pensar4. Nosotras almorzartodos los das en el mismo restaurante,almorzar Which is equivalent to P(z 1.4)? ASAP NEED HELP DUE TMR ANSWER NOW AND ILL GIVE BRAINLIEST THANKS What is CRISPR-Cas-9? a A medical device made of titanium that cuts genes. b A metal tool used for cloning animals. c A gene editing tool used to cut specific genes thank u................ Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide and 9inches tall. The second box is 3 inches long, 3 inches wide and 6 inches tall. Which box holdsmore macaroni? What was the point of the League of Nations? she said i wiil give you a lot of many What do you understand by membrane potential? TELL ME IF MY POEM IS GOODHe was slow as a slug but decided to sign up for track & field.He jumped to the clouds when he made it inHis opponent was fast as the flash.He feared his opponent more than his fear of heights.Everyone started running at the speed of a tornadoHe tripped on a small, shiny pebbleHis knee was blood dripping redHe continued the race while his knee was limping Whats the missing term ? What policies made persecutions of Jewish German citizens official? is Radon an elementary substance or a compound?