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VashaNatasha [74]
3 years ago
13

Which of the following is equivalent to the complex number i^8?

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0

Answer:

The correct answer is B.  i⁸ = 1

Step-by-step explanation:

You can work this out by noting that 2 is a factor of 8, and 8 is a multiple of 2.  With that we can say:

i^8\\= (i^2)^4\\= -1^4\\= 1

Maru [420]3 years ago
4 0

Answer:

I think the answer is -1

Step-by-step explanation:

the sequence goes i, -i, 1, -1

Right? >_>

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One of the two positive integers is 5 less than the other. If the product of the two integers is 24, find the integers.
Studentka2010 [4]

Hello from MrBillDoesMath!

Answer:

3,8

Discussion:

Let "n" and "p" be the two positive integers. Then

n = p - 5   (*)

and

np = 24  (**)

Substituting  (*) in (**) gives

np = 24                            =>    as  p = n+5

n(n+5) = 24                      =>

n^2 + 5n - 24 = 0             =>   factor polynomial (n+8)(n-3)

So n = 3 or -8 but as n is positive, n = 3 Then p  = n + 5 = 8

Check:

Is n (3) 5 less than p (8). Yes

Does np = 3 *8 24. Yes

Thank you,

MrB

6 0
3 years ago
ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).
Igoryamba
   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span> 
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver:   AC = BD = 2 



7 0
4 years ago
Question 9 (3 points)
Mila [183]

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

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

The dot plot states that:

  • 2 students have 4 vowels in their first and last name.
  • 3 students have 5 vowels.
  • 8 students have 6 vowels.
  • 9 students have 7 vowels.

Then:

  • Total of 2 + 3 + 8 + 9 = 22 students.
  • 3 + 8 + 9 = 20 have or more vowels.

p = \frac{20}{22} \times 100\% = 90.91\%

90.91% of the students have 5 or more vowels in their first and last  names.

A similar problem is given at brainly.com/question/14354536

5 0
3 years ago
A recent survey by the American Cancer Society shows that the probability that someone is a smoker is P(S) = 0.19. It has also d
nekit [7.7K]
0.19*0.158=0.03002 -------> 0.03
8 0
3 years ago
A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
Fittoniya [83]

Answer:

add all of it

Step-by-step explanation:

5 0
4 years ago
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