What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))

Answers

Answer 1

Answer:

Z= -3 square root 2 + 3i square root 2

Step-by-step explanation:

Answer 2

Answer:

C :)

Step-by-step explanation:

got it right on edge, hope it helps


Related Questions

Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient

Answers

Given:

The degree of polynomial = 9

Leading coefficient is negative.

To find:

The end behavior of the polynomial.

Solution:

Let the polynomial be P(x).

We have,

Degree of polynomial = 9, which is odd.

Leading coefficient is negative.

If the degree of a polynomial is odd and leading coefficient is negative, then

[tex]P(x)\to \infty\text{ as }x\to -\infty[/tex]

[tex]P(x)\to -\infty\text{ as }x\to \infty[/tex]

Therefore, the end behavior of the given polynomial is [tex]P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty[/tex].


6m - 3p + 10 when m = 6, p = 4

Answers

Answer:

The answer is 58.

Step-by-step explanation:

Plug in and Solve.

[tex]6m - 3p + 10 \\ 6(6) + 3(4) + 10 \\ 36 + 12 + 10 \\ 48 + 10 \\ 58[/tex]

Answer:

[tex]6m - 3p + 10 \\ when \: m = 6 \\ \: \: \: \: \: \: \: \: \: p = 4 \\ = 6(6) - 3(4) + 10 \\ = 36 - 12 + 10 \\ = 24 + 10 \\ = 34[/tex]

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices

y = –0.8x + 10

y = 0.8x – 10

y = 0.8x + 10

y = 5/7x + 10

Answers

Answer:

y = 0.8x – 10

This is the correct answer.

Step-by-step explanation:

It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event

Answers

Answer:

C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event

Step-by-step explanation:

I think

Find the slope between the two given points A(3,7), B(9,-5)

Answers

Answer:

Slope= -2

Step-by-step explanation:

An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?​

Answers

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

5% of batteries produced at a factory are defective. Use the binomial model to find the probability that 1 battery in a pack of 16 is defective.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
P
x
=
n
!
x
!
n
-
x
!
p
x
q
n
-
x
A.
5%

B.
15%

C.
23%

D.
37%

Answers

Answer:

Step-by-step explanation:

B 15%

Answer: The correct answer is D) 37%

Step-by-step explanation:

We can use our binomial model equation with all the relevant information to solve this problem simply. We just need to dissect the problem a bit to find relevant information. We know that out of 16 batteries in a pack (the number of trials in this case) we want to find the possibility of 1 of them (the number of successes) to be defective with a defective rate of 5% or 0.05. We simply input the data into our binomial formula given and solve for our answer of 37% I hope this answer has been of use.

Have a wonderful rest of your day :D

List the next three terms in the following sequence:

1, 2, 4, 7, 11, 16,...

Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191

Answers

Answer:

The answer is D

Step-by-step explanation:

Each time sum of previous number and position of that previous number in given series, with the formula being:

previous number + position of previous number = next number

For example, 7 is in the 4th spot so 7+4=11.

Answer:

d

Step-by-step explanation:

write 2,000,947 i word form.

Answers

two million, nine hundred and fourty-seven
two million nine hundred forty-seven

Bradley and Melissa share $2,000 in the ratio 2:3. a. How much money did Bradley receive? b. How much money did Melissa receive. c. Melissa used her share as a down payment on a dining room set costing $1,500. What is the balance she owes on the dining room set? (Answer all 3 parts of the question.)

Answers

Answer:

a)800

b)1200

c)300

Step-by-step explanation:

2+3=5

2000/5= 400

Answer:

a=$800 . b=$1200 . c=$300

Step-by-step explanation:

2000/5=400

400x2=800

400x3=1200

Which graph shows the system of equations


{2x+3y=5 4x−5y=−1

Answers

The graph of equation is in image.

What are linear equations?

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations 2x + 3y = 5

4x - 5y = -1

for equation 1

2x + 3y = 5

x    1     -2    4

y    1      3    -1

coordinates for equation 2

4x - 5y = -1

x    1     2    -4

y    1     1.8   -3

and the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

Learn more about linear equation;

https://brainly.com/question/29739212

#SPJ1

What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4

Answers

Answer:

-5, -7 or its -7, -5

Step-by-step explanation:

Answer:

-7 -5

Step-by-step explanation:

The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3

All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1

a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?

Answers

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])

where x = values of the set.

For Pawnee:

[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

[tex]mean^{2}[/tex]  = [tex]4.25^{2}[/tex] = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

simplify the expression t+2+6t

Answers

Answer:

2+7t

Step-by-step explanation:

combine like terms

t+2+6t

2+7t

Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}

Answers

Hope this helps ☺️!!!!!

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs


The number of pounds that can be safely loaded onto an elevator, X, can be represented by
the inequality x < 1,200. Which number line correctly represents this inequality?

Answers

Answer:

the third one

Step-by-step explanation:

The inequality says X is less than 1200, this means the arrow needs to be pointing to the left. Because X cannot equal 1200, the circle on 1200 should not be filled in. It is only filled in if it is included.

Answer:third one

Step-by-step explanation:

What is the square root of -16?

Answers

Step-by-step explanation:

3 is the correct answer

4i would be the correct answer.

if w is the cube root of unity

(x-wy+w^2z)/(y+wz+w^2z)


only correct ans allowed wrong ans will be reported

Answers

Answer:

are you sure

Step-by-step explanation:

bro i am trying to answer your question

Interest calculated only on the principle is

Answers

Amount of a loan or deposit ?

In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS

Answers

Answer:

[tex]for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°[/tex]

Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work out xy+3 1/2+20x Btw guys 3 1/2 are mixed numbers if your wondering

Answers

Answer:

15

Step-by-step explanation:

First you would replace the x and y's with 1/2 and 3.

So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)

Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)

So you would first multiply and the parenthesis that I added mean multiplication.

1.5 + 3.5 + 10

So then all that is left to do is add because I multiplied everything out.

So it is 5 + 10 which is 15

What is

-2 + (-5) =

And please explain bc I don’t get it

Answers

Answer:

Step-by-step explanation:

(-2) + (-5) = (-7)

In integer addition, if two numbers are negative, then add the two numbers and the  put the negative sign for the result

-2 + -5 is -7

because they are both negatives they are added to a negative.

ANSER FOR REAL OR BANHAMMER WILL BE IN YOUR FACE

Answers

Step-by-step explanation:

Since the square is folded along its diagonal,

Perimeter of each triangle

= 2 * Side of square + Diagonal of square.

Side of square

= √(Area of square)

= √(49in²) = 7in.

Diagonal of square

= √(2 * Area of square)

= √(98in²) = 7√2in.

Hence we have 2 * 7in + 7√2in = 7(2 + √2) in.

Pls help easy points

Answers

are you just looking for the green space or more

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

I neeed help with middle school math

Answers

Multiple different forms in the picture attached - for these problems use Math-way is super easy
First is the exact form

Answer:

22/5*8/3

176/15

yep that's it

I think..

Two angle measures of this triangle are 60°. Which type of triangle is it?

Answers

Answer:

It's an equilateral triangle.

Step-by-step explanation:

For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.

What is the slope for this??

Answers

Answer:

slope: [tex]\frac{13}{4}[/tex]

Step-by-step explanation:

13/4 create an equation and use the slope formula.
:)

Please someone help me out. This is due soon.

Answers

Answer:

1. 8 people

2. 2 people

3. the difference is 1

4. 4 people

5. skiing, snowboarding, ice skating, sledding

Step-by-step explanation:

1. it shows on the graph

2. you subtract the number of people ice skating by the number of people sledding

3. you add ice skating and sledding then subtract that total from the amount of people skiing

4. you have to subtract skiing from ice skating and then add one to ensure it is the most liked

you simply go from greatest to least

1010 rubber stamps cost \$10.30$10.30dollar sign, 10, point, 30.
Which equation would help determine the cost of 222 rubber stamps?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{2}{x} = \dfrac{\$10.30}{10}
x
2

=
10
$10.30

start fraction, 2, divided by, x, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, 10, end fraction

(Choice B)
B
\dfrac{x}{2} = \dfrac{10}{\$10.30}
2
x

=
$10.30
10

start fraction, x, divided by, 2, end fraction, equals, start fraction, 10, divided by, dollar sign, 10, point, 30, end fraction

(Choice C)
C
\dfrac{2}{10} = \dfrac{\$10.30}{x}
10
2

=
x
$10.30

start fraction, 2, divided by, 10, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, x, end fraction

(Choice D)
D
\dfrac{2}{\$10.30} = \dfrac{x}{10}
$10.30
2

=
10
x

start fraction, 2, divided by, dollar sign, 10, point, 30, end fraction, equals, start fraction, x, divided by, 10, end fraction

(Choice E, Checked)
E
None of the above

Answers

Answer:

none of the above

Step-by-step explanation:

picks your answer as the Brainliest

Answer: E. none of the above. The top answer is correct. I check on khan. :D

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