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Jlenok [28]
1 year ago
6

Which expression is equivalent to i 233

Mathematics
2 answers:
Fiesta28 [93]1 year 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]1 year ago
5 0

Answer:C

Step-by-step explanation:

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The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?
joja [24]

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1 year ago
The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,
juin [17]

Answer:

The width is: w(x)=4x^2

The length is l(x)=2x^2+3x+5

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

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The width of the rectangle is the greatest common factor of 8x^5,  12x^3 and 20x^2

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We now divide the area by the width to obtain the length of the rectangle:

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This simplifies to:

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Read 2 more answers
Factor 10e2 completely.
Reil [10]

Answer:

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Step-by-step explanation:

3 0
1 year ago
Abe and Amil rode in a bike-a-thon. Abe rode for 77 minutes at a faster rate per mile than Amil. Find Amil's unit rate. Then exp
sp2606 [1]
Step-by-step explanation:
If Abe rode for 77mins
Let ta represent Amil time and tb represent Abe time.
Then tb=77mins
The rate if amil is faster than able
Let the speed of mail be Va and that of Abel be Vb
Therefore Va>Vb
Velocity = distance / time
Amil rate Va=d/ta
If Amil rode 15miles
Da = 15miles
ta= 55mins
Since they are on the same track then the rate of Amil is
Va=Da/ta
Va= 15/55
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Since they are on the same track they will have the same speed Da.
Vb= 15/77
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Read more on Brainly.com - brainly.com/question/14658857#readmore
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