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4 years ago

Plot the point in a complex plane -3+4i

Mathematics

2 answers:

Marianna [84]4 years ago

3 0

The image below shows this equation on a complex plane.

Karo-lina-s [1.5K]4 years ago

3 0

Answer:

Step-by-step explanation:

the point is : (-3 , 4)

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A wood stove burns 4 same sized logs in 2 hours. How many logs does the stove burn in 8 hours?

tiny-mole [99]

Answer:

Step-by-step explanation:

16 because 2 divided by 8 equal 4 then 4x4 equal 16

6 0

4 years ago

3-5x in verbal expression

Wittaler [7]

5 times a number subtracted from 3.

Hope this helps!

6 0

4 years ago

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

HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!

Dimas [21]

Answer:

Step-by-step explanation:

x = 2n

2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 80

10n = 60

n = 6

x = 12

12 + 14 + 16 + 18 + 20 = 80

6 0

3 years ago

Kyle goes to the movies with his friends. Each person buys a ticket and two equally priced snacks at the snack bar. Let ticket p

AlekseyPX

Answer:

your answer is A

Step-by-step explanation:

please let me know of im incorrect

8 0

2 years ago

Read 2 more answers