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

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

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!

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.

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

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

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!!

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.

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

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

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

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

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:

How do you do 10 th grade math

Answers

thats 4 plus 4 plus 4

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

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

which table represents a linear function?

Answers

Answer:

the first

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.


(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. :)

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.

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.

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 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

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

Answers

Answer:

you got to do it

Step-by-step explanation:

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

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

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

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

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:

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

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
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