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2 years ago

Please answer the question down below. Savvas Realize 10-1 Interactive Additional Practice.

Mathematics

2 answers:

andrey2020 [161]2 years ago

8 0

<h2><u><em>IT's b ksfjasfamafdsj</em></u></h2>

Ostrovityanka [42]2 years ago

6 0

Answer: 1 1/2 (B)

Step-by-step explanation:

the reason the answer is 1 and 1/2 because 1/2 + 1/2 = 1 whole.

The oldest child is 13, and the youngest is 11 1/2.

11 + 1 = 12 and 1/2 + 1/2 = 1 so uhh yea

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4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

6 0

3 years ago

5(1.07)^m=9.19 <br><br> Solve for m

tatiyna

The answer is 8.99 in decimal form

In exact for it In (1.838)/ In (1.07)

I hope one of them helps

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3 years ago

it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks,

levacccp [35]

3 hours Jeremiah has to spend riding his bike

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2 years ago

What is the gcf of 48 and 64

pantera1 [17]

First, make an organized list of the factors for each number. The common factors are 1, 2, 4, 8, and 16, and the greatest of these is 16. So, the greatest common factor or GCF of 48 and 64 is 16.

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3 years ago

If you can answer this it would help me out so much!

Delvig [45]

X + 3 = 0
2x - 1 = 0
It would be D.

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2 years ago

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