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3 years ago

In the problem 10-4 = 6 what is the correct term for the number for

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

In 10 - 4 = 6

6 is the difference
10 is the minuend
4 is the subtrahend

Damm [24]3 years ago

8 0

The number 4, in 10-4=6, is called the subtrahend.

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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

Complete the equation <br> (4,-8) and (8,5)

LekaFEV [45]

4 is the x1 value, -8 is the y2 value, 8 is the x2 value, and 5 is the y2 value.

8 0

3 years ago

How much is 19.5% of 600?

MakcuM [25]

19.5% of 600 is 117.

6 0

4 years ago

Read 2 more answers

Please Help! Thanks to whoever can answer this!

Illusion [34]

Here, we are missing the slope and the y intercept.

Lets look for the y intercept first.

Where does it cross the y axis? At 3!!

3 is the y intercept.

Now, find the slope by using the slope formula.

$m = \frac{y2 - y1}{x2 - x1}$
(0,3) and (2,1)

m = 1-3/2-0 = -2/2 = -2/2 = -1
m = -1

Okay, so we found our slope, now just write the equation.

Answer: y = -1x + 3

8 0

3 years ago

HELP ME PLEASE AND THANKS

gavmur [86]

X is equal to 22.25 so all you have to do is to fill it in and find the answers

8 0

3 years ago