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Fiesta28 [93]
3 years ago
13

Simplify i^41 (please help me)

Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer:

i

Step-by-step explanation:

SOVA2 [1]3 years ago
8 0

Answer:  Choice A) i

====================================================

Explanation:

Let's look at the pattern of powers of i

  • i^0 = 1
  • i^1 = i
  • i^2 = (sqrt(-1))^2 -1
  • i^3 = i*i^2 = i*(-1) = -i
  • i^4 = (i^2)^2 = (-1)^2 = 1

We loop back to 1, and the process starts all over again. The cycle is 4 units long. Ie, the pattern repeats every 4 terms.

What this means is that we can use remainders to quickly figure out something like i^41 without having to use a calculator or tons of paper.

Dividing 41/4 leads to a quotient of 10 and a remainder of 1. We only care about the remainder. The remainder 1 means i^41 = i^1 = i

Note how 41 and 1 lead to the same remainder when we divide by 4.

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A rectangle's width is 23 cm and its length is 9cm. What is its area?
SOVA2 [1]

Answer:

207

Step-by-step explanation:

sorry if im wrong

6 0
3 years ago
Help with math please???
Tresset [83]

Okay, let's see...

The problem is asking for a linear equation most likely in the form of y=mx+b

y is another way to say f(x)

<em>m = slope </em>

<em>b = y intercept </em>

Let's start with the y intercept first.

Y intercept means ' When does the line touch (intercept) the y axis.

In this case, if you look at the graph, the line <em>touches </em>the y axis at -1.

-1 will replaces b

To find the slope we are going to take 2 precise points from the graph.

Lets use <em>(0,-1)</em> and <em>(-6,4) </em>

To find the slope, we're going to use \frac{(y_{2}  -y_{1} )}{(x_{2} -x_{1} )}

4 - (-1)     /     -6  - 0

Solve, our slope is 5/-6

That is our m

Our final equation is

f(x)=\frac{-5}{6} x -1

3 0
3 years ago
i need help asap!!How far can Lance Armstrong travel if he averages 28 miles per hour for 3 hours and 45 minutes?
Murrr4er [49]

Answer:

105 Miles.

Step-by-step explanation:

The first important thing to recognize is that 45 minutes is equal to .75 of an hour.  (3/4).


Now, it's a rate * time problem.


28 Miles/Hour * 3.75 hrs = 105

7 0
3 years ago
How would you reduce the square root of 12. <br><br> Full sentence
Liula [17]

Answer:

3.4

Step-by-step explanation:

I think that you mean "How do you estimate the square root of 12."

1. √12 is between √9 and √16, which are 3 and 4

2. We know that the square root of 12 is between 3 and 4, and we can estimate to the tenth, getting 3.4

5 0
3 years ago
Read 2 more answers
Q1: Write the sum of numbers as a product of their GCF and another sum. 24+16 Q2: Write the sum of numbers as a product of their
Anastaziya [24]

Answer:

for the points

Step-by-step explanation:

u dumb tbh

7 0
3 years ago
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