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VARVARA [1.3K]
3 years ago
11

Simplify the expressions. i^23

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

-i

Step-by-step explanation:

i^0=1

i^1=i

i^2=-1

i^3=-i

i^4=1

This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.

So i^(23)=i^3=-i.

i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.

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The question demands that we find a fraction of a given quantity.

The 'of ' means multiplication.

So the total distance of the journey was

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But they walked ¼ of the whole journey. We are supposed to find

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MA_775_DIABLO [31]

Answer:

Domain: {-3, 0 3}

Range: {0, 3}

Step-by-step explanation:

Recall that the Domain of a relationship associated with coordinate pairs of the form (x,y), is the set of all "x-values" given in the relationship.

The Range is the set of all "y-values" given in the relationship.

In our case, we have three coordinate points defining the relationship. These points have the following (x,y) coordinates (see attached image to see which coordinates are associated with each point):

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On the other hand, he y values associated with these points are: 3, 0, and again 3. So in fact there are just to distinct y-values: 0 and 3.

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Step-by-step explanation:

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Answer: 120° obtuse.

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