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 person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.

Answers

Answer:

40 quarters and 32 dimes

Step-by-step explanation:

Given:

Quarter = 25 ¢, number of quarters = qDime = 10 ¢, number of dimes = dTotal amount = $13.20 = 1320 ¢

Required equations:

q + d = 7225q + 10d = 1320

Solve by elimination, multiply the first equation by 10 and subtract from the second equation:

25q + 10d - 10q - 10d = 1320 - 10*7215q = 600q = 600/15q = 40

Find p:

40 + p = 72p = 72 - 40p = 32

Let's take the given as,

→ q = quarters (25)

→ d = dimes (10)

→ 1320 will be the amount

→ q + d = 72

→ 25q + 10d = 1320

Now we can solve for q,

→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)

→ 15q = 1320 - 720

→ 15q = 600

→ q = 600/15

→ [ q = 40 ]

From this equation,

→ q + d = 72

We can solve for the d,

→ 40 + d = 72

→ d = 72 - 40

→ [ d = 32 ]

There are 40 quarters & 32 dimes.

Name three integers between −12 and −7. And no bots allowed.

Answers

Answer:

-11 -10 -9

Step-by-step explanation:

I'm not 100% sure

Answer:

-10 , -9 , -8

Step-by-step explanation:

An Integer is a whole number, regardless of the sign (positive or negative).

In this case, the numbers between -12 and -7 are:

-11 , -10 , -9 , -8

So you can decide which 3 integers you want.

~

what is 67.18 - 82 equal

Answers

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

How to solve this question? :)

Answers

Answer:

I think it's 20 i don't know man

help please i only have 20 mins left

Answers

4748

Step-by-step explanation:

find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?

Answers

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3

If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground

Answers

Answer:

3.2 seconds

Step-by-step explanation:

I don’t know what the answer is

Answers

It's number three -6x2 is minus 12
1-12=-11
Is c because 1-6 times 2 equal -11

Scientific Notation

Standard Form

Write this number in standard form:

4.415 x 10-8

Answers

3.615 x 10^2 i hope this helps
4.415x 2= 8.83 and in standard form would be 8+ 0.8+ 0.03

Solve the given equation for x.

2x-B=10

Answers

10/2-B/2 trust me I got it right

the absolute value of n^2 if n<0

Answers

Answer:

Step-by-step explanation:

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

Answers

Answer:

8:112 third blank put 14

On a coordinate graph the following points of a rectangle are given. A(0,2) B (0,-2) C (3,-2) 4 Where do the coordinates of Dneed to be to form the rectangle? 0 (3,2) O (2, 3) 0 (1,3) 0 (3,1)​

Answers

Answer:

(3, 2)

Step-by-step explanation:

Please mark me brainliest if this helped! :P

If 11 - 3x = x, then 20x=

Answers

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]

Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x  however both will equal the number 55

[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]

Is the first number divisible by the second? Explain.
45 by 5

Answers

Answer:

Yes

Step-by-step explanation:

45 is divisible by 5 because 45 divided by 5 is 9

¯\_(ツ)_/¯


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

I WILL GIVE BRAINLIEST

Answers

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

-----------------------------------------------------------

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

i need help...Which table represents a function?

A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.

A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.

Answers

Answer: Choice A

Explanation:

A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.

Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.

3x−7= Can you Guys help

Answers

Answer:

not sure

Step-by-step explanation:

Answer:

x= 7

3

Step-by-step explanation:

find x by making the subject of formula

3x=7x = 7 3

resolve into partial fraction. (5x+2)/3x²+4x-4​

Answers

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

plz .can any one help me.how we calculate this solution : 2 power2 + 6​

Answers

Answer:

2² = 2*2

(2*2) + 6 = 4+6 = 10

10

Step by step

2 power 2 is 2x2

(2) power 2 + 6 = 10

(2x2)+6 = 10

How do we check an answer to an algebraic equation to make sure that it is correct?

Answers

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2

Answers

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

help me plz hey the answer questions

Answers

Answer:

The area of the triangle is 30The triangle is a scalene triangle

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

plz help with this one its the last question I need to pass this assignment

Answers

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps

numerical expressions
X + 5=2
M - 2 =3
X/-8 = -1
5G=-20
1P/6 =0
D-15=14

Answers

Answer: ?

Step-by-step explanation:

Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.

Answers

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?

Answers

Answer:

Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott

Step-by-step explanation:

Find the least common denominator for both fractions.

9: 9, 18, 27, 36, 45, 54, 63

7: 7, 14, 21, 28, 35, 42, 49, 56, 63

Multiply 1/9 by 7/7:

[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]

Multiply 1/7 by 9/9:

[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]

Subtract the two fractions:

[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]

Lanzar dos monedas

¿Cuál es la probabilidad de obtener como mínimo un sello?

a) 1/4

b) 2/4

c) 3/4

d) 4/4

Answers

la probabilidad es de 2 uwu

A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years

Answers

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

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