If complex number z = 3 Left-bracket cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) right-bracket, then complete the statements for z4.

The modulus of z4 would be


The coefficient in front of the argument (or angle) of z4 would be


ANSWER: 81

ANSWER: 4

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:a81

b4

Step-by-step explanation:


Related Questions

help will reward brainly

Answers

Answer: Positive but I might be wrong I haven't done slopes in a while

Step-by-step explanation:

Positive because from left to right it goes up

If it were negative, it would go the opposite way

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.

f(x)=

Answers

Answer:

f(x) =  x³ - 6x² + 5x + 12

Step-by-step explanation:

Given polynomial function f(x) with:

a = 1, r₁ = 4, r₂ = 3, r₃ = -1

With the least degree it is:

f(x) = 1*(x - 4)(x - 3)(x - (-1)) =         (x² - 7x + 12)(x + 1) =          x³ - 6x² + 5x + 12

Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter

Answers

Answer:

19?

Step-by-step explanation:

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

Can you please solve this please and thank you.

Answers

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

The answer is 3. The images side divided by the pre-images side is your scale factor.

12/4 = 3
6/2 = 3

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answers

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

4x + 80 = 180
x = 25

2x + 80 = 130
2x = 50

How do you do 10 th grade math

Answers

thats 4 plus 4 plus 4

Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.​

Answers

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

-2x(x+2)-(3-2x)(x+2)

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

I'll mark u as brainliest pls help with these 2 questions ​

Answers

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?

Answers

Answer:

63 members.

Step-by-step explanation:

70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people

Q.no 21 solve it.
Plz. Plz

Answers

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)

Answers

Answer:

you got to do it

Step-by-step explanation:

PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.

Answers

Answer:

Step-by-step explanation:

A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = I

SOMEONE PLEASE HELP IM SO CONFUSED…. QUESTION- Find A and B

Answers

Answer:

hi

Step-by-step explanation:

what you want to know about this

Answer:

the answer is c dont have much time to explain

Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose

Answers

Answer:

7 pounds?

Step-by-step explanation:

Which is the correct quotient with a letter as the remainder?

Answers

Answer:

A

Step-by-step explanation:

876 divided by 43 = 20

and the remainder is 16

in the case of other options, the quotients are correct but the remainders are wrong.

Therefore, A is the option with both correct quotient and remainder.

Gavin has 50 tokens and continues to ride the roller coaster 3 times every hour (the roller costar costs 6 tokens to ride). Gibson has 12 tokens and finds 2 more tokens on the ground each hour. How long until they have the same number of tokens?

Answers

Answer:

have a good day

Step-by-step explanation:

shape it helps Bye

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

the answer is b it is 15

What function represents the next graph?

Answers

Answer:

Option 1:  y = (x - 2)² + 2

Step-by-step explanation:

Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):

Definitions:

The vertex form of the quadratic equations is:

y = a(x - h)² + k

where:

(h, k) is the vertex.

The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k  represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.

The sign of a  determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.

If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph.  If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph.

Solution:

Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the  vertex form to solve for the value of the coefficient, a:

y = a(x - h)² + k

6 = a(0 - 2)² + 2

6 = a(-2)² + 2

6 = 4a + 2

Subtract 2 from both sides

6 - 2 = 4a + 2 - 2

4 = 4a

Divide both sides by 4 to solve for a :

[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]

a = 1

Quadratic Equation in Vertex Form:

Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.

A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?

Answers

Answer:

39.125 %

Step-by-step explanation:

you use the cross multiplication method:

200cm = 100%

78.25 = ???

78.25 × 100

——————— = 39.125%

200

if you are willing to check your answer:

39.125 × 200

———————–— = 78.25 cm

100

I HOPE THIS WOULD HELP!

Pls help with this question!!!!

Answers

There are 75 dimes in the box. This is because all of the pennies, nickels and quarters is 14.20$. So subtracting the full total 21.70 bu 14.20 gives us 7.50$. Which is 75 dimes.

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

1 point
8.) You make $42.50 babysitting for 5 hours. How much will you make in 8
hours? *
$68.00
$60.50
$64.00
$85.00

Answers

42.50 in 5 hours =
8.50 in 1 hour

So you have 8 hours
You are alt know 5 hours is 42.50
You have another 3 hours

8.50 x 3 = 25.50

42.50 + 25.50 = $68.00

A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work

Answers

Answer:

4/3mpm

Step-by-step explanation:

(1 1/2)/(1 1/8)

convert to improper fraction

(3/2)/(9/8)

solve

1/(3/4)

4/3

which table represents a linear function?

Answers

Answer:

the first

Step-by-step explanation:


(b)
Write down the integer value of x that satisfies 16 < 3x < 20

Answers

Answer:

x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.

Step-by-step explanation:

Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)

find the surface area of this triangular prism




please help me

Answers

108 ft square

Step by step

5x8 is 40

3x4 is 12 x 1/2 is 6.

Again, 3x4 is 12 x 1/2 is 6

8x4 is 32

8x3 is 24

Add that all tigether and its 108

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?​

Answers

Answer:

A) 60

B) Between 3 and 4

C) [tex] \frac{160 - 60}{16} [/tex]

D) Extremely unusual.

The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

The difference between Einstein's IQ and the mean :

⇒ 160 - 100 = 60

There are standard deviations between 3 and 4.

Einstein's IQ score to a Z-score:

Here,

ц = 160

σ = 16

X = 100

⇒ z-score = (X-ц )/σ

Substitute the values,

⇒ z-score = (160- 10)/16

⇒ z-score = 150/16

⇒ z-score = 9.375

If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.

Answers

Answer:

1 cm: 12.5 km

Step-by-step explanation:

Okay just find what the length of one cm equates to so

4/4=1

50/4=12.5

it's like making a unit measurement but yknow its scaling

so one cm (one unit in a way) equals 12.5 km.

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