I need help with math

Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,

[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]

where k = 0, 1, 2, or 3. Then the 4th roots of -4 are

[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]

[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]

[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]

[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]

Answer:

50 degrees

Step-by-step explanation:

They are alternate exterior angles, so they add up to 180 degrees.

Answer:

The slope is 1/2

Step-by-step explanation:

To find slope, use the formula y2-y1/x2-x1

Plug the points in and solve.

9-6/(-3)-(-9)

3/-3+9

3/6

1/2

Answer:

[tex]m=\frac{1}{2}[/tex]

Step-by-step explanation:

Formula:

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

Assign the points as [tex]x_1[/tex], [tex]x_2[/tex], and, [tex]y_1[/tex], [tex]y_2[/tex]

[tex](-9 = x_1, 6=y_1) \:\:\:\:(-3=x_2, 9=y_2)[/tex]

Plug these points into the formula; solve

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{9-6}{-3-(-9)}\\=\frac{1}{2}[/tex]

[tex]\bold{m=\frac{1}{2}}[/tex]

Therefore, [tex]\frac{1}{2}[/tex] is the slope of the line through [tex](-9, 6)[/tex] and [tex](-3, 9)[/tex].

Refer to attatchment.

Answer:

4x2+4x-5

Step-by-step explanation:

Hopes this helps

Plz markas brainliest

U' = x - 6 , y + 6

U' = ( - 5 - 6 ) , ( 1 + 6 )

U' = ( - 11 ) , ( 7 )

U' = - 11 , 7

Answer:

The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602

Step-by-step explanation:

hope this is correct

Answer:

1 hour

Step-by-step explanation:

if he started at 12 pm, then in 1 hour he would finnish

Step-by-step explanation:

The answer im just guessing but teachers like to do false false true true so sorry if im wrong

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

Answer :-

• 46 is the sum of 20 and Han's savings. .

Then it says that to write the equation in this sentence .

• Use the variable h to represent Han's savings.

Answer:

8

Step-by-step explanation:

this is because a square has 4 and one side has a measurement of 2in

so you would and all the sides (2+2+2+2) which will give you an answer of 8

Answer:

f-1(x) = 1/3x would be the answer

Step-by-step explanation:

Answer:

y= 1/3x

Step-by-step explanation:

inverse function perform the opposite.

3/1 becomes 1/3

Answer:

34.5 people

Step-by-step explanation:

Answer:

克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何

Answer: the answer is 600 or the letter C

Answer:

3) 600

Step-by-step explanation:

Answer:

The second number would be 108.

Step-by-step explanation:

Multiply 70 by 2 and subtract 32 from the product.

Answer:

51

Step-by-step explanation:

because 3(5)+6(6)

Answer:

51

Step-by-step explanation:

3c+6y

3(5)+6(6)

15+36

51

Step-by-step explanation:

321.5 is the correct answer

The tenths is the number after the decimal points always

EXAMPLES

3.4

4.2

You get the point.

Now to round you look at the second number if it is lower than 5 make it a zero

321.50 is equivalent to 321.5

So that's the answer: 321.5.

(If the thingy is bigger than five make the number left to it increase by one)

(If it's equal to five make the number increase, different places have different rules)

Probability that 2 of the 10 chargers will be defective =0.35

Number of ways of selecting 10 chargers from 20 chargers is 20C10

20C10 = 184756

Number of ways of selecting 10 chargers from 20 = 184756

Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2

5C2 = 10

Since 2 defective chargers have been chosen, there remains 8 to choose

Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8

Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435

Probability that 2 of the 10 will be defective =

(10x6435)/184756

Probability that 2 of the 10 will be defective = 64350/184756

Probability that 2 of the 10 chargers will be defective =0.35

Learn more on probability here: https://brainly.com/question/24756209

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

6x + 5y = 10

5y = -6x + 10

y = (-6/5)x + 2

so a perpendicular line has slope 5/6

y = (5/6)x + b

plug in our desired point

3 = (5/6)6 + b

b = -2

y = (5/6)x - 2

I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.

One of those "Win the battle but lose the war" type situations.

Answer:

it is the first one

Step-by-step explanation:

The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula

Amount = Principal + Interest

Given the following parameters

Get the interest

Get the amount;

Calculate the monthly payment:

Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

Learn more on compound amount here: https://brainly.com/question/24924853

Answer:

104-5/9

Step-by-step explanation:

just divided ND SUBTRACT

Answer:

b. the triangles are congruent by ASA

explanation: you can see that both triangles share the same angles at M and P so they are the first angle then R is the second angle because this is a vertical angle in both triangles then they share a side because of R being the midpoint of PM

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Learn more about scale factor on:

https://brainly.com/question/2826496

Step-by-step explanation:

You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80

Answer:

nope

Step-by-step explanation:

it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.

Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.

Answer:

27

Step-by-step explanation:

compitative property

Answer:

all the numbers +

Step-by-step explanation: