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Jlenok [28]
2 years ago
6

Which expression is equivalent to i 233

Mathematics
2 answers:
Fiesta28 [93]2 years ago
5 0
Start with second, third and fourth  degree of imaginary unit i:

i^2=-1, \\ i^3=i^2\cdot i=-1\cdot i=-i, \\ i^4=i^2\cdot i^2=-1\cdot (-1)=1.

Since 233=232+1=4·58+1, then i^{233}=i^{4\cdot 58+1}=(i^4)^{58}\cdot i^1=1^{58}\cdot i=i.

Answer: i^{233}=i
natta225 [31]2 years ago
5 0

Answer:C

Step-by-step explanation:

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The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
shepuryov [24]
See the attached picture for the solution:

7 0
2 years ago
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Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. Wh
sashaice [31]

The answer would be 1/15.

Find the greatest common multiple of each fraction, then add them. You will get 1/15 out of it.

3 0
2 years ago
The exchange rate at the post office is £1=€1.17 how many euros will you get for £280
4vir4ik [10]

Question

The exchange rate at the post office is £1=€1.17 how many euros will you get for £280


Answer:

<h2>327.6 €</h2>

Step-by-step explanation:

you can solve with an equation

1£ : 1.17€ = 280£ : x

1 : 1.17 = 280 : x

x = 1.17 * 280 : 1

x = 327.6

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

check

1 : 1.17 = 280 : 327.6

0.85 = 0.85

the answer is good

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

or you can simpy solve with a multiplication

280 * 1.17 = 327.6



4 0
2 years ago
If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater
maxonik [38]

Answer:

Step-by-step explanation:

"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as

 

Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).

The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:

4x + 9 ≥ 0, or

4x ≥ -9, or

x ≥ -9/4

This is the domain of the given function f(x) = √(4x + 9) + 2.  So long as x is ≥ -9/4, the function f(x) will be defined.

6 0
1 year ago
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FACEing MATH lesson 7 Multi-step Equations with variables on both sides
S_A_V [24]

7) 2x + 2 = 10x + 4

   -8x = -2

   x  = 1/4

8) -x - 5 = 2x + 10

   -3x = 15

   x = -5

9) x + 3 = -5x

   6x = -3

   x = -1/2

10) -x - 10 = -3x - 8

     2x = 2

     x = 1

11) 1/2x = -3/2x + 4

    2x = 4

    x = 1/2

12) 3x -8 = -8 + 3x

     0 = 0

Hope this helps! ;)

8 0
2 years ago
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