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3 years ago

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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Answer:

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Step-by-step explanation:

Let the numerator of the fraction=x

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Denominator=x+2

The fraction is therefore:

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If both numerator and denominator are decreased by six, the fraction becomes:

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The simplified result is $\dfrac{17}{18}$

Therefore:

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Therefore, the original fraction is $\dfrac{40}{42}$

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3 years ago

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Step-by-step explanation:

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3 years ago

In Neil's city, the temperature is 72.6 degrees and is rising 1.3 degrees each hour. In Sheppard's city, the temperature is 80.4

klio [65]

Answer:

2.5 hours

Step-by-step explanation:

Given that :

Temperature in Neil's city :

72.6° and rising by 1.3° per hour

Temperature in Sheppard's city :

80.4° and dropping by 1.82° per hour

In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city

Let number of hours = h

Hence, Neil city :

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3 years ago

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Answer:

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Step-by-step explanation:

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