1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?

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:

it is the first one

Step-by-step explanation:

Using the function concept, it is found that the correct option is:

In this graph, for each value of x, there is only one value of y, hence it passes the vertical line test, and option C is correct.

You can learn more about the function concept at https://brainly.com/question/12463448

Yes, because x turns to into 1/10.

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:

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

Answer:

y=-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=0(x-6)

y+8=0

y=0-8

y=-8

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)

Answer: 42

6(9-2)

= 6 * 7

= 42

Answer:

6(9-2)

=6×7

=42 ans

Step-by-step explanation:

I think it help you I also you understand it

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:

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].

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

U' = x - 6 , y + 6

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

U' = ( - 11 ) , ( 7 )

U' = - 11 , 7

Answer:

50 degrees

Step-by-step explanation:

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

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.

Refer to attatchment.

Answer:

4x2+4x-5

Step-by-step explanation:

Hopes this helps

Plz markas brainliest

Step-by-step explanation:

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

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.

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:

all the numbers +

Step-by-step explanation:

Answer: the answer is 600 or the letter C

Answer:

3) 600

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 second number would be 108.

Step-by-step explanation:

Multiply 70 by 2 and subtract 32 from the product.

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

Answer:

34.5 people

Step-by-step explanation:

Answer:

104-5/9

Step-by-step explanation:

just divided ND SUBTRACT