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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

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Answer:

so, 10 laps in 25 mins we want to make mins=1 so

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Step-by-step explanation:

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A group consists of 6 men and 5 women. Five people are selected to attend a conference. In how many ways can 5 people be selecte
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Answer:

462

6

1.2%

Step-by-step explanation:

Since the questions are combinations, we must apply the combination formula, which is as follows:

n C r = (n!) / (r! (n-r)!)

Because there are 6 men and 5 women, there are a total of 11 people.

Thus:

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In the second question, in how many ways can 5 men be selected from the 6 men, here n = 6 and r = 5, replacing we are left with:

6 C 5 = (6!) / (5! * (6-5)!)

6 C 5 = (6!) / (5! * 1!)

6 C 5 = 6

In the last question of what is the probability that the selected group is all men, we have that it is the combination of the two previous questions. Since the total would be part A it would be the total of the combinations of choosing 5 of 11 people and part B of the 6 men that there are the combinations of choosing 5.

Divide the two values ​​from parts A and B to get ...

(result from part B) / (result from part A) = (# of ways to pick 5 men) / (# of ways to pick 5 people)

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(result from part B) / (result from part A) = 0.012

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