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

You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.

Answers

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

Read more at; brainly.com/question/17576926

ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?

Answers

Answer:

15

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

I think that the answer is D

Step-by-step explanation:

Find the Value of 2a2+5b2

Answers

Answer:

I get 92 but not really sire

Please help! I’ll mark as BRAINLIEST :))

If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?

Answers

Step-by-step explanation:

could the conditional statement be written in another way

A person is shopping for cereal, oranges, and eggs at a grocery store. Which of the following is an INPUT in this scenario?

The number of cereal boxes purchased
The cost per pound of oranges
The amount paid for eggs

Answers

Answer:

i got this on edg its b

Step-by-step explanation:

Which of the following describes a square root of 41?
A.between 5 and 6
B.between 6 and 7
C.between 20 and 21
D.between 40 and 42

Answers

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

PLEASE LEND ME A HAND! I NEED IT BADLY!!!

Answers

Answer:

The first one is A

The second one is B

4
The temperature at 6:00 P.M. is 70°F. The
temperature will drop 6°F each hour. Write an
equation in slope-intercept form that models the
temperature in y degrees Fahrenheit after
x hours.
O A y= 70x – 6
B y = 6x - 70
Oc y=-6x – 70
OD y=-6x + 70

Answers

Answer:

Step-by-step explanation:

D

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 290 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.

Answers

Step-by-step explanation:

The random variable (x) here would be a randomly selected student from the college that is left-handed.The population parameter would be 11% of America's total population. The total population as of 2019 is believed to be 328.2 million, and 11% of that figure is about 36.1 million (thirty-six million one hundred thousand).Hypotheses: Remember, the null hypothesis usually reflects the held view of the researcher, and since we are told the college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population. It could read; There is a statistically significant difference in the percentage of left-handers in the college than the American population. While the alternate hypothesis could read; There is no statistically significant difference in the percentage of left-handers in the college than the American population.The Type I error implies rejecting the null hypothesis when it is actually true. That is: Rejecting that the % of all students from that college that are left-handed is 11 % when the % is really 11 %.The Type II error implies accepting the null hypothesis when it is actually false. That is: Failing to reject that the % of all students from that college that are left-handed is 11 % when the % is actually different.

I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!

Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.

PLEASE HELP

Answers

Figure 1:
x+120=180.
x=180-120
x=60


Figure 2:
a+73=180(linear pair)
a=180-73
a=103


a+x=180(alternate interior angle)
103+x=180
x=180-103
x=77

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Question 17 please I rly need help

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] of [tex]\frac{4}{5}[/tex]

"of" translates to a multiplication symbol in math.

So it's asking for: [tex]\frac{3}{4}[/tex] x [tex]\frac{4}{5}[/tex]

You could cross out both fours getting to the answer of [tex]\frac{3}{5}[/tex]

0.6 as a number 3/5 as a fraction

6 2/3 * -4 1/5 i really need help

Answers

Answer:

-28

Step-by-step explanation:

6 2/3*-4 1/5=

20/3*-21/5=

4/3*-21/1=

4/1*-7/1=

-28

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

I have to do the “got it”!!! Please help

Answers

Answer:

Substitute

Step-by-step explanation:

Answer:

JKM = 36

Step-by-step explanation:

JKL = 72

KM bisects JKL - cuts into two equal parts

72 / 2 = 36

JKM = 36

Please let me know if I'm wrong!

what is the complex conjugate of 6+2i

Answers

It should be the sqrt-8 should be the answer on edg2020

15 POINTS!!! PLEASE HELP!! ITS IXL IF YOU WANT JUST TELL ME THE FORMULA I NEED TO USE !!

Answers

Answer: $10,800.00

Step-by-step explanation: 10,000 times 1%= 100

100 dollars she gains for twelve months

100 divide by 12 months equals $8.33

She would have a total of $10,800.00

On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.

Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning

Answers

Answer:

no

Step-by-step explanation:

yes

Problem
Justin's rice ball recipe uses 100100100 grams of rice to make 111 rice ball. Justin has 700700700 grams of rice.
How many rice balls can Justin make with 700700700 grams of rice?
rice balls

Answers

Answer:

777

join my zoom meeting no audio no camera just chat

Step-by-step explanation:

Pass code: G0qkw3

ID: 448251

Numeric Passcode: 756933

Answer:

777 rice balls

Step-by-step explanation:

HELP I DONT HAVE MUCH TIME

Answers

Answer:

10 miles, 6 inches

Step-by-step explanation:

2.5 x 10

15/2.5

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

26 beats in 1/6 minute

Answers

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer is 156 beats in one minute.

If 26 beats is in 1/6 of a minute, then multiply 1/6 by 6 to get 1. And multiply 26 by 6 to get 156.

Jason went to his local zoo that featured 38 reptile exhibits. If these reptile exhibits make up 95% of the zoo's exhibits, then how .any exhibits does the zoo have in total

Answers

Answer:

40 exhibits

Step-by-step explanation:

First, we will what we have gotten into fractions.

There are 38 reptile exhibits, but we dont know how much exhibits there is total, so we will make the total x: 38/x

We know that a percent is out of 100, so our fraction for the percent is 95/100

Now we are going to cross multiply 38/x and 95/100

38 * 100 = 3800

x * 95 = 95x, so 3800 = 95x

Divide both sides by 95 and you get 40.

Please mark brainliest, thank you!!

Solve for x in this inequality: -13 < 3x – 7 < 5

Answers

Answer:

−2<x<4

Step-by-step explanation:

i'm in a math test and i need help what is 1 + 1

Answers

21 trust me, my iq is like 21212121212121

1. Which set of numbers includes the square root of 42?

a) irrational number
b) integers
c) rational numbers
d) whole numbers

2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers

3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers

4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5

5. Which of these is closest to 150?

a) 12.2
b) 12.4
c) 14.2
d) 15

Answers

Answer:

C,B,D,A,D

Step-by-step explanation:

ASAP ASAP ASAP
PLEASE HELP ME

Answers

Answer:

d

Step-by-step explanation:

Answer:

I rlly don't know how to help you bruh

Step-by-step explanation:

Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.

Multiplying 2×1 3/7 is equal to how much

Answers

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

3 90 Which is the best estimate of 7 A 2 B 6 C 12 D 24​

Answers

Answer:

C 12 is the best estimate

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

b

Step-by-step explanation:

because b sounds like it lol

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