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3 years ago

Is the answer to this equation 20 ÷ 2(7+3), 1 or 100?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

6 0

Answer:

its 1 bc (7+3) =10 then 2×10= 20÷20=1

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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

4 years ago

2.1 divided by 12.18 using long division please show work I need this right now please

yanalaym [24]

Answer:

2.1 divided by 12.8=0.172413

Step-by-step explanation:

0 0 0. 1 7 2 4 1 3

1 2 1 8 2 1 0. 0 0 0 0 0 0

− 0

2 1

− 0

2 1 0

− 0

2 1 0 0

− 1 2 1 8

8 8 2 0

− 8 5 2 6

2 9 4 0

− 2 4 3 6

5 0 4 0

− 4 8 7 2

1 6 8 0

− 1 2 1 8

4 6 2 0

− 3 6 5 4

9 6 6

6 0

2 years ago

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry.

Lelu [443]

The function for the problem is p=5x +4y

6 0

3 years ago

A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft from the door. To th

zimovet [89]

Answer:

6.32 feets

Step-by-step explanation:

Given that:

Height of ramp = 2 feets

Length of base = 6 feets

Length of ramp = l

Using Pythagoras rule :

Hypotenus = sqrt(opposite² + adjacent²)

Length of ramp = sqrt(height of ramp² + length of base²)

l = sqrt(2² + 6²)

l = sqrt(4 + 36)

l = sqrt(40)

l = 6.3245

Length of ramp = 6.32 feets

3 0

3 years ago

How do I do this math problem can you please help me solve it

Gnom [1K]

First, multiply 1/2 and 2 by 6 to simplify the equation. Then, subtract 12 from both sides of the equation to get x alone. Finally divide both sides of the equation by 3 to get x on it's own. That is your solution. X=-2/3 I attached a picture of my work. Hope this helped!

6 0

3 years ago