Which of the following is a solution of z^5 = 1 + √3i?

Help much needed! Thank you

Answers

Answer 1

[tex] \sqrt[5]{2} [/tex]

=cos12°+isin12° is your answer


Related Questions

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)

Answers

Answer:

12500 dollars/year

Step-by-step explanation:

A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).

Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:

(7, 120000) and (17, 245000). The annual rate of change is gotten using:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year[/tex]

Help me out hereeeeeeeeee

Answers

Answer:

0.28

Step-by-step explanation:

Samantha is observing a salt crystal under a microscope. She wants to view more details by enlarging the image of
the crystal. Which would allow her to do this?
O increasing the amount of light that shines on the crystal
O decreasing the amount of light that shines on the crystal
O increasing the strength of the objective lens
O decreasing the strength of the objective lens

Answers

Answer:

increasing the strength of the objective lens ,

Answer:

C

Step-by-step explanation:

on edge

Its timed help im failing

Answers

Answer:

I think it’s 2.2 m

Step-by-step explanation:

Tho I could be wrong, don’t take my word for it

What is the 97th term of the arithmetic sequence -16,2,20

Answers

Answer:

1712

Step-by-step explanation:

Given arithmetic sequence is: -16,2,20

Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18

n = 97, [tex] a_{97}=?[/tex]

[tex]\because a_n = a + (n-1)d\\\\

\therefore a_{97}= - 16 + (97-1)\times 18\\\\

\therefore a_{97}= - 16 + 96\times 18\\\\

\therefore a_{97}= - 16 + 1728\\\\

\therefore a_{97}=1,712\\\\[/tex]

Answer:

1712

Step-by-step explanation:

Formula of the sequence:

[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]

So 1712 is the 97th term

karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle elevation need to be

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:

  Sin = Opposite/Hypotenuse

For a ramp 1 m high and 2 m long, we have ...

  sin(x) = (1 m)/(2 m) = 1/2

  x = arcsin(1/2) = 30°

The elevation angle of the ramp needs to be 30°.

Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?

Answers

123 bdhdhehdbrhrbrnrnrj

Write an equation in slope-intercept form for the line that passes through the points
(-4,1) and is parallel to the equation y = - 2x-6.

Answers

Answer:

y=-2x-7

Step-by-step explanation:

parallel lines have the same slope

our new line so far:

y=-2x+b (b is  a place holder)

subsitute (-4,1) into the equation

1=-2(-4)+b

1=8+b

-7=b

new line:

y=-2x-7

please help its so late here and my head not working so good

Answers

Answer:

rate of 50 cents per pound on the airline

what is the quotient of 14,875÷35

Answers

Answer:

424.8571428571429

Step-by-step explanation:

Answer:

Step-by-step explanation:

MARKING BRAINLIEST
Find the angle measure

Answers

Answer:

42x - 9 = 35x + 12

42x - 35x = 12 + 9

7x = 21

x = 3

Answer:

Each angle = 117

Step-by-step explanation:

Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.

42x - 9 = 35x + 12         Add 9 to both sides

42x = 35x + 12 + 9        Combine

42x = 35x + 21              Subtract 35x from both sides

42x - 35x = 21               Combine

7x = 21                           Divide by 7

x = 21/7

x = 3

That's not the answer

42x - 9

42*3 - 9

126 - 9

117

Find the slope of the line in the given graph.

Answers

Answer:

option A, 3/4

Step-by-step explanation:

slope / gradient formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the 2 coordinates from the graph

i) (-2,3)

x1 = -2

y1 = 3

ii) (2,6)

x2 = 2

y2 = 6

[tex] \frac{y 2 - y1}{x2 - x1} [/tex]

[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]

[tex] \frac{3}{2 + 2} [/tex]

[tex] \frac{3}{4} [/tex]

7.) Caleb ran 240 yards. Which answer choices are equivalent to the distance
he ran?
A. 20 inches
B. 2,880 inches
C. 8,640 inches
D 80 feet
E 720 feet

Answers

Answer:

720 feet

Step-by-step explanation:

If you convert 240 yards to feet you get 720 feet. You're welcome! :)

Help me please and thank you

Answers

Answer:

ΔMXP, ΔXMP, ΔPMX

Step-by-step explanation:

A triangle has three sides and three points, so it can only be named using the three points, X, P and M.

9 divided by 315
Peals help

Answers

Answer:

0.028571429 or 1/35

Or if you meant 315 divided by 9 it’s 35

Step-by-step explanation:

9 ÷divided by 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.

When dividing 9 by 315, we set up the division equation: 9 ÷ 315. To perform the division, we start by dividing the first digit, 9, by the first digit of 315, which is 3. Since 3 can be divided evenly into 9, the quotient is 3.

Next, we bring down the next digit, 1, making the current dividend 15. We continue dividing 15 by 3, resulting in a quotient of 5. Finally, there are no more digits to bring down, so the division is complete.

Therefore, 9 ÷ 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.

Learn more about division here

http://brainly.com/question/231633

#SPJ6

plEASE HELP ME PEOPLE HUMPTH OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

At home, Alice noticed that she had a flat tire. With the spare, Alice drove 30 miles to the next shop at 45 mph. After getting the new tire, she drove home at 70 mph. What was Alice's average speed for her round trip?

Answers

Answer: Approximately 54.7826 mph

As a fraction, this average speed is exactly 1260/23 mph.

========================================================

Work Shown:

"Alice drove 30 miles...at 45 mph". This means

t = d/r

t = 30/45

t = 2/3

She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.

Then "she drove home at 70 mph". She drove the same distance, meaning,

t = d/r

t = 30/70

t = 3/7

She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.

------------------------------

Add up the time values

(2/3 hr) + (3/7 hr)

(2/3 + 3/7) hr

(14/21 + 9/21) hr

23/21 hr

She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.

Use these values to find the speed

r = d/t

r = d divided by t

r = 60 divided by (23/21)

r = (60/1) divided by (23/21)

r = (60/1) * (21/23)

r = (60*21)/(1*23)

r = 1260/23

r = 54.7826

Her average speed for the round trip is about 54.7826 mph.

slope of -3,-2 and -1,-5

Answers

Answer:

14

Step-by-step explanation:

-3-2 is a slope and you add numbers

A rectangular field is 348 inches long and 7 yards wide

Answers

ill take a guess on what the actual question is..

        area: 2,436

perimeter: 710

Answer:

um i think it's cheese

Step-by-step explanation:

Because i like cheese

Helppppp please (due tonight)

Answers

Answer:

g=68 h=56 f=56

Step-by-step explanation:

g = 5x+18

h and f = 2x+36

5x+18+2x+36+2x+36=180

9x+90=180

9x=90

x=10

What is the missing numbers to this equation please
? - (? × ?)=90

Answers

Answer:

-0(10 x 9)=90

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
(a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)

Answers

Answer:

100(a divided by b)

this is because for example, 1/2

100(1 divided by 2)

100(0.5)

50

50%

Answer:

c

Step-by-step explanation:

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?

Answers

Answer:

.........................

Answer:

200

Step-by-step explanation:

she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200

5/12<__<3/4 what answer goes in the blank

Answers

Answer:

We have:

5/12<__<3/4

To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.

This is ratter easy, the first step would be to write both limits with the same denominator.

we can rewrite the upper one as:

3/4 = (3/3)*(3/4) = 9/12

Where we multiplied the numerator and denominator by the same number, 3.

Now we have:

5/12 <  < 9/12

Then in the blank, we could input any number like:

5/12 + 1/12 = 6/12

6/12 is larger than 5/12, but smaller than 9/12

We also could use 7/12, or 8/12.

And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.

Then to complete the answer we will write:

5/12 > 6/12 > 9/12

Which Theorem do you use to solve for D?

Answers

Answer:

D + 50 - 20 = 70

D = 70

Step-by-step explanation:

Angle sum property
d + d +50 + d - 20 = 180
3d = 180 - 50 +20
3d = 150
d = 150/3
d = 50

A classmate writes and incorrect proportion to find x. Explain and correct the error.

Answers

Answer:

x / 9 = 12 / 15

Step-by-step explanation:

Correct proportion by given same angle;

x / 9 = 12 / 15

x = (12)(9) / 15

x = 108 / 15

x = 7.2 unit

Simplify this expression

help fast please​

Answers

Answer:

C i think

Step-by-step explanation:

A violin is 100$
What is the price when it's marked down 10%

Answers

Answer:

90

Step-by-step explanation:

Answer:

it should be 95.40

Step-by-step explanation:

How do you skip videos on edunuity?

Answers

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Please Give Brainleast

What is 39/20 written as decimal ?

Answers

Answer:

1.95

Step-by-step explanation:

39/20 * 5/5 = 195/100
Move decimal over 2 places
Solution: 1.95
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