Which of the following is equivalent to the complex number i^54?

Which Of The Following Is Equivalent To The Complex Number I^54?

Answers

Answer 1

Answer:

c)  - 1

Step-by-step explanation:

i^54 = (i^2)^27 =(-1)^27 = -1

Correct option is c)

Answer 2
option "c" is the correct answer

[tex] \huge \bf{explanation}[/tex]

[tex] {i}^{54} [/tex]

=>( i^2)^24

=> (-1)^27

=> -1


Related Questions

Twelve Divided by the sum of a number and five

Answers

12/x+5
x represents “a number” because it’s unknown and the + sign is because the words sum

Round 7.3065 to 2 decimal places

Answers

Answer:

im pretty sure its 7.31

which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?

Answers

Answer: I think it is (-4,0)

Step-by-step explanation:

Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).

Answer:

B) A rotation of 270° about the origin.

B) (-4, 0)

D) (-2, -5)

C) X' (-2, -6) and Y' (3, -1)

C) 280°

C) 8

B) A rotation of 180° about the origin.

B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.

D) X' (6, -2) and Y' (1, 3)

C) (0, -30)

Brainliest plsssssss

Neil is painting two squares on his bedroom wall. The length of one side of the first square is 12 inches. The second square will be 3 times the size of the first square. What is the area of the second square?

Answers

Answer:

36in

Step-by-step explanation:

12 · 3 = 36

Help me please I need to answer this

Answers

M= 3x and b=2 that’s the answer

how are you supposed to multiply fraction?

Answers

For example if it’s 1/2 multiplied by 2/4 you multiple what’s on top with each other and what’s down with each other and u get 2/8

write the sentence as an equation 253 is the product of 69 and g

Answers

Answer:

253=69g or 253=69(g)

Step-by-step explanation:

Need help really confusing

Answers

mD1 = 115, since angle 1 and 5 are on the same side of the transversal and in the same relative position

hope this helps :)

What is the slope of the line that passes |
through (-3, -1) and (-5, 4) ?

Plz I need help

Answers

Answer:

-2.5

basically use slope formula which is x2-x1/y2-y1

7) Compare the ratios of the corresponding sides to prove or disprove that the polygons are similar.

Answers

Answer:um thers no picture

Step-by-step explanation:

HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?

Answers

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Use the bar model to add these fractions

Answers

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

Write an expression for the sentence: Kelly has $120 to spend at the fair and spent $15 on food and wants to play games that cost 4$ each


Smart people can answer

Answers

120 - 15 - (4x) that should get you the correct answer if you can solve that

Use the given line and the point not on the line to
answer the question,
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
O (-3.6,0)
O (-2, 0)
O (0, -3,6)
O (0, -2)

Answers

Answer:

It's the third one, (0,-3.6)

Step-by-step explanation:

Write the equation

“the quotient of a number and 2, increased by 9 is -15”

Use n as a variable and do not put any spaces

Answers

Answer:

[tex]\frac{n}{2}+9=-15[/tex]  

I hope this helps!

x3y2-1/4x please solve it fast​

Answers

Answer:

(x,y) = (0,  1/3)

Step-by-step explanation:

  [1]    2x + 3y = 1

  [2]    4x - 6y = -2

Graphic Representation of the Equations :

   3y + 2x = 1        -6y + 4x = -2  

Solve by Substitution :

Solve equation [2] for the variable  x  

 [2]    4x = 6y - 2

 [2]    x = 3y/2 - 1/2

Plug this in for variable  x  in equation [1]

  [1]    2•(3y/2-1/2) + 3y = 1

  [1]    6y = 2

Solve equation [1] for the variable  y

  [1]    6y = 2  

  [1]    y = 1/3  

By now we know this much :

   x = 3y/2-1/2

   y = 1/3

Use the  y  value to solve for  x  

   x = (3/2)(1/3)-1/2 = 0

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Answers

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

A fertilizer covers 3/4 square foot in 1/2 hour. how much square feet does the fertilizer cover per hour?

Answers

Answer:

1 1/2 square foot

Step-by-step explanation:

3/4 + 3/4 = 6/4

6/4= 1 2/4

1 2/4= 1 1/2

who does gymnastics?
answer if you do only

Answers

ME!!! I have to because of volleyball and track practicing

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?

Answers

Answer:

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

Help pls i don’t wanna get a bad grade :(

Answers

Answer:

the answer is d

Step-by-step explanation:

because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10

HOPE THIS HELPS :) :) HAVE A NICE DAY

If you are given the graph of a line and are asked to write the equation of a
perpendicular line, does it matter what the y-intercept will be for the equation
you write? Explain why or why not.

Answers

Answer:

Yes

Step-by-step explanation:

It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.

Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.

According to the question;

We are required to determine; does it matter what the y-intercept will be for the equation you write when given the graph of a line and are asked to write the equation of a perpendicular line.

Although, according to line geometry;

The slope of two perpendicular lines are related as follows;

m1 m2 = -1

The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.

Read more;

https://brainly.com/question/13370039

Triangle LMN is similar to triangly XYZ. What is the length of YX?

Answers

Answer:

The same length as XY

Step-by-step explanation:

If they are similar, they are basically the same ;)!

Hope this helped!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest


14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35



21. explain how to compare 0.7 and 5/8

Answers

Answer:

14: 1/5, 0.35, 12/25, 0.5, 4/5

17: -2 4/5,-2.6, -2.3

18: -6.0, -0.72, -5/8, -7/12

19: 1.2, 1 1/3, 1.45, 1 1/2

20: -3.0, -0.35, 0.5, 0.55

Fraction Into Decimal:

14: 1/5=0.2, 12/25=0.48, 4/5=0.8

17: -2 4/5= -2.8

18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)

19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)

Explanation:

To start with, you need to convert the fractions into decimals in order to compare them easier

Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line

Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.

Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!

If m<5=63°, find the measure of <3.

Answers

Answer:

angle 3's measurement should be 117 degrees

hope this helps :)

The measure of angle 3 is 117 degrees.

Calculation of an angle:

In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.

Since the angle 5 is 63 degrees

and, the total of two angles is 180 degrees

So, the angle 3 is

= 180 - 63

= 117 degrees

hence, The measure of angle 3 is 117 degrees.

learn more about an angle here: https://brainly.com/question/11508323

determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?

Answers

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?

Answers

Answer:

The probability is  [tex]P(900 < X < 1100) = 0.358102[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 1130[/tex]

    The standard deviation is  [tex]\sigma = \$ 150[/tex]

   

Generally the probability that the gas bill will be between $900 and  $1100 is mathematically represented as

      [tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]

=>  [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]

Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]

So

    [tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]

   [tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]

From the z  table  

     [tex]P(Z < -0.2 ) = 0.42074[/tex]

and

     [tex]P(Z < -1.533) = 0.062638[/tex]

So

     [tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]

=> [tex]P(900 < X < 1100) = 0.358102[/tex]

Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?

Cups of Flour Mini-Loaves
2 5
3 7.5
4 10
10 □

Answers

He can make 5 mini loaves

22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwithout any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?

Answers

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]

The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]

So,  the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses

Answers

Answer:

75 weeks

Step-by-step explanation:

We can write a ratio to solve

10 weeks       x weeks

--------------- = ---------------

2 hours          15 houses

Using cross products

10 * 15 = 2 * x

150 = 2x

Divide by 2

150/2 = 2x/2

75 = x

75 weeks

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