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solong [7]
3 years ago
6

What does i^16 equal and how do you get the answer​

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

i^16 = 1

Step-by-step explanation:

i = √-1 = i

i^2 = i * i = (√-1)^2 = -1

i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i

i^4 = i^2 * i^2 = -1 * -1 = 1

the order keeps following......

i^16 = 1

since i^16 is same thing as i^4 * i^4

and we know i^4 = 1 so 1*1=1

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Answer:

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Step-by-step explanation:

  • the given expression is : −4≤11−3x
  • we use following operations to solve the inequality:
  • by adding 4 on both sides, the inequality will become :

-4+4 ≤ 11-3x +4

0 ≤ 15 -3x

  • adding 3x on both sides, the inequality will become:

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3 years ago
PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater
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Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

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Apply the rule of logarithm

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Divide both sides by log(2)

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Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

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So, we have:

y =3 \log_2(2)

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y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

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Step-by-step explanation:

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