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seraphim [82]
3 years ago
7

If i is raised to an odd power, then it can not simplify to be

Mathematics
2 answers:
Tomtit [17]3 years ago
6 0
A real number

ok so
any even power is i^(2n) where n is a whole number
if n=1
i^2=(√-1)^2=-1

if i^3, then it is equal to (i^2)(i)=(-1)(i)=-i
if i^4, then it is equal to (i^2)(i^2)=(-1)(-1)=1

therefor
i^1=i
i^2=-1
i^3=-i
i^4=1
then it repeats

look at the odd powers
i and -i
they are complex

therefor

if i is raised to an odd power, it cannot be simplified to be a real number
oksano4ka [1.4K]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

If i is raised to an odd power, then it can not simplify to be

<u><em>-1</em></u>

-i

i

Odyssey

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PLZ SHOW ALL WORK
lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width:  w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
3 0
3 years ago
Who ever answers gets points
MAXImum [283]

Hello! How are you today?

6 0
2 years ago
Expand the following 5(2x-4)
Yuliya22 [10]

Answer:

x= 2

Step-by-step explanation:

5*2= 10 then add the x at the end

5*4=20

then you divide both sides by 10

(10x/10)- (20/10)

x= 2

or if your rewriting it then:

(5*2x)- (5*4)=?

Hope this helped :D

8 0
3 years ago
I'm completely lost
Vladimir [108]
Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.
4 0
3 years ago
Alyssa can complete a job in 12 minutes. If Miranda helps her, they can complete the job in 9 minutes. How long would it take Mi
miv72 [106K]

Answer:

36 minutes

Step-by-step explanation:

The key is to get the same amount of time for each.

9 * 12 = 108

At 12 minutes per job,

in 108 minutes Alyssa could do

108/12 = 9 jobs

At 9 minutes per job,

Together in 108 minutes they could do

108/9 = 12 jobs

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

In 108 minutes Mirada does

12 - 9 = 3 jobs

108/3 = 36 minutes per job

4 0
2 years ago
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