1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
12

What is the value of i^n if the remainder of n/4 is 2?

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer: 1

Step-by-step explanation:

we are to find the value of i^n if the remainder of n/2 =4

First, we need to find what n is.

To find n;

n/4 = 2

we simply multiply bothside of the equation by four

n/2 ×4 = 2 ×4

n = 8

Next is for us to know what i stand for.

i usually show the imaginary part if a complex number.

In Mathematics, i = √(-1)

which implies i² ⁼ √(-1) ×√(-1) = - 1

Now back to our question,

iⁿ = i⁸ (since n=8)

Now ,

i⁸ = i² × i² × i² × i²

= -1 × -1 × -1 ×-1 (remember i²=-1)

=1

Therefore, iⁿ is 1 if the remainder of n/4 is 2

nydimaria [60]3 years ago
7 0

Answer:

C and D

Step-by-step explanation:

i=√-1

n/4=x.5

since 2 is the remainder

n=2x

then i^n=i^2x

when x is even, i^n =1

when x is odd, i^n=-1

You might be interested in
What is 625 in exponential form
Anit [1.1K]
5 x 5 x 5 x 5 = 625,

3 0
3 years ago
Read 2 more answers
I need to transform the first graph to get where the second one is. How can I do that?
Anna35 [415]
A translation of right 3 up 1
8 0
3 years ago
Stop and Shop purchases boxes of cereal for d dollars. Then, it includes a 45% mark up in the selling price. Which of the follow
Artist 52 [7]
I believe the answer is C ( 1 represents the dollar and .45 represents the mark up )
5 0
3 years ago
How to do number 6! Anyone I will cash app you
olganol [36]

Answer:

Shawna has 50, 48,46,44 or 42 yellow pencils.

Step-by-step explanation:

Here, given the total number of pencils Shawna has  = 55 pencils

So, The number of YELLOW PENCIL + BLUE PENCIL = 55

or, Y  + B = 55

Now let us take the given cases of blue pencils one by one:

1. If she has 5 blue pencils

Here, B = 5

So, as Y  + B = 55 ⇒    Y +  5  = 55

or, Y = 5 5 - 5  = 50

Hence, Shawna has 50 yellow pencils.

2. If she has 7 blue pencils

Here, B = 7

So, as Y  + B = 55 ⇒    Y +  7  = 55

or, Y = 5 5 - 7  = 48

Hence, Shawna has 48 yellow pencils.

3. If she has 9 blue pencils

Here, B = 9

So, as Y  + B = 55 ⇒    Y +  9  = 55   ⇒  Y  = 55- 9 = 46

Hence, Shawna has 46 yellow pencils.

4. If she has 11 blue pencils

Here, B = 11

So, as Y  + B = 55 ⇒    Y +  11  = 55   ⇒  Y  = 55- 11 = 44

Hence, Shawna has 44 yellow pencils.

5. If she has 13 blue pencils

Here, B = 13

So, as Y  + B = 55 ⇒    Y +  13  = 55   ⇒  Y  = 55- 13 = 42

Hence, Shawna has 42 yellow pencils.

3 0
3 years ago
HELP WITH THIS PLSSS ITS CYLINDERRR
Sindrei [870]

Answer:

6) B

7) D

Step-by-step explanation:

6)

The surface area of a cylinder is 2 * pi * r * (r + h)

SA = 2 * 3.14 * 3.6 * (3.6 + 8.5) = 2 * 3.14 * 3.6 * 12.1 = 273.6 cm^2

7)

The volume of a cylinder is pi * r^2 * h

V = 3.14 * (3.6)^2 * 8.5 = 345.9 cm^3

7 0
2 years ago
Read 2 more answers
Other questions:
  • If x / 4=5, is x / 5 = 4 also true? why or why not?
    7·2 answers
  • Can someone please help me with the bar with missing numbers? Please it’s hard for me
    12·1 answer
  • What is 11 2/3 as an improper fraction?
    7·2 answers
  • Population of 2,400 increased by 80%
    6·1 answer
  • A college counselor is interested in estimating how many credits a student typically enrolls in each semester. The counselor dec
    12·2 answers
  • Help meeeeeeeeeeeeeeeeeeeeeeee
    9·1 answer
  • Find the average of 2m,20cm and 95cm give your answer in cm​
    9·1 answer
  • Dorothy wants to buy a box of dirt that normally costs $45.11. It is
    14·1 answer
  • you burn 200 calories by walking for 60 minutes how many calories will you burn if you walk 12 minutes?​
    10·1 answer
  • If STUV is a rectangle and m_VSU = 52°, what is the value of x?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!