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Evgen [1.6K]
3 years ago
6

Imaginary Numbers what is i^16 A 1 B i C -1 D -i

Mathematics
2 answers:
cricket20 [7]3 years ago
8 0

Answer:

A: 1

Step-by-step explanation:

i^{16}=\left(i^2\right)^8=\left(-1\right)^8=1

Mila [183]3 years ago
6 0

Answer: A. 1

Step-by-step explanation:

The idea of imaginary number is [i]=√-1, which usually occurs to be undefined in the real number system.

i=√-1

i^2=-1

i^3=-i

i^4=1

In the following question, it is asked to find i^16.

In order to find it, we divide 16 by 4, so to find which place it lands on.

16÷4=4

It is a perfect division, so it lands on i^4, which is 1

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katie, elizabeth and scott volunteer at a hospital in one week. katie volunteers 3 more hours than elizabeth and scott volunteer
gogolik [260]

Step-by-step explanation:

ALGEBRA 1

Lilly S. asked • 08/16/17

3 girls get volunteer hours.

Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.

Follow1

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1 Expert Answer

By:

Best

Andy C. answered • 08/16/17

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

We know nothing about Elizabeth hours, so that is where you assign the variable.

Elizabeth = X

Katie = X+3

Siobhan = X -1

Assuming this holds true over 3 weeks,

3(x+3) = 3X + 3(x-1)

3x + 9 = 3x + 3x - 3

3x + 9 = 6x - 3

0 = 6x - 3 - 3x - 9

0 = 3x - 12

12 = 3x

x=4

in one week:

Elizabeth volunteers 4 hours

Katie volunteers 7 hours

Siobhan volunteers 3 hours

over three weeks:

Elizabeth volunteers 12 hours

Katie volunteers 21 hours

Siobhan voluteers 9 hours

21 = 12 + 9, so yes it checks.

3 0
3 years ago
​​​​​​Jocelyn gave the cashier $50 to pay for 3 shirts. The cashier gave her $5.03 in change. Each shirt cost the same amount. W
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Answer:

14.9

Step-by-step explanation:

50-5.03 = 44.97

44.97 ÷ 3 = 14.99

8 0
2 years ago
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