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Juli2301 [7.4K]
3 years ago
14

If a person makes $5.00 in 10 minutes, how much can she make in1.5 hours?

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

$45

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Begin with Euler's formula. I am assuming youre aware of this if youre taking complex algebra? You can prove Euler's formula by doing a Maclaurin expansion of cosine, sine, and e^x. Euler's formula states that:

e^{ix}=cos(x)+isin(x)

We can put the first complex number in exponetial form by noticing the input is 2pi/3. The second complex number has an input of pi/3. Therefore:

z_1=8e^{i(2\pi /3)}

z_2=0.5e^{i(\pi /3)}

Then:

\frac{z_1}{z_2} =\frac{8e^{i(2\pi /3)}}{0.5e^{i(\pi /3)}}

Simplify the coefficients to get:

\frac{z_1}{z_2} =\frac{16e^{i(2\pi /3)}}{e^{i(\pi /3)}}

When you divide exponentials, you subtract the exponents. Therefore:

\frac{z_1}{z_2} =16e^{i(2\pi /3)-i(\pi /3)}=16e^{i(\pi /3)

Put it back into trigonemtric form using Euler's formula:

16e^{i(\pi /3)}=16cos(\pi /3)+i16sin(\pi /3)

Cosine of pi/3 is 0.5, and sine of pi/3 is square root of 3 over 2. We have:

16e^{i(\pi /3)}=16cos(\pi /3)+i16sin(\pi /3)=16*0.5+16*\frac{\sqrt{3} }{2} *i=8+8\sqrt{3} i

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Step-by-step explanation:

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Step-by-step explanation:

maybe A is this math or sumthing? lol SUM-thing  

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