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V125BC [204]
3 years ago
13

Hii! please help i’ll give brainliest

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0

Answer: Shanghai

Step-by-step explanation:

i hope this helps!

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Use the polar representation to write the following in the form a + bi (a) (-1+ i)^7 (b) (1+v3i)^10
ira [324]

Answer with Step-by-step explanation:

For any complex number x+iy the polar form is represented as

z=re^{i\theta }

where

r^{2}=x^2+y^2\\\\tan(\theta )=\frac{y}{x}

Part a) x+iy = -1+i

Thus r=\sqrt{-1^2+1^2}=\sqrt{2}\\\\  \theta _{1}=tan^{-1}(\frac{-1}{1})=\frac{-\pi }{4}

Thus using De-Morvier's theorem

(-1+i)^7=(\sqrt{2}e^{i\frac{-\pi }{4}})^7\\\\\therefore (-1+i)^7=2^{7/2}\cdot e^{\frac{i-\pi }{28}}

Part 2) x+iy = 1+3i

Thus r=\sqrt{1^2+3^2}=\sqrt{10}\\\\  \theta _{1}=tan^{-1}(\frac{3}{1})=1.25

Thus using De-Morvier's theorem

(1+3i)^{10}=(\sqrt{10}e^{1.25i})^{10}\\\\\therefore (1+3i)^{10}=10^{5}\cdot e^{12.5i}

3 0
3 years ago
What is the mean of the data set? {96, 84, 92, 96, 100} Enter your answer in the box. Round to the nearest tenth.
vodomira [7]
In order to calculate the mean (average) you add up all the numbers and divide the total by how many numbers there are.

The sum of the data set is 468.

There are 5 numbers in the set.

468 divided by 5 is 93.6.

The answer is already to the nearest tenth, so the mean is 93.6.
6 0
3 years ago
Ok some one ask me what 20 + 20 - 20 is said its 20 e didnt belive me i know thats the right anser
postnew [5]

Answer:

it is because 20 + 20 is 40 and then 40 - 20 = 20

6 0
3 years ago
CAN SOMEONE HELP MEEEE????
krek1111 [17]

first bar: 4(high),21(across)

second bar: 9(high),22(across)

third bar: 12(high),14(across)

6 0
3 years ago
Read 2 more answers
a amp has a scale of 1 inch =20 miles the distance on the map between two cities is 5 inches what is the actual distance between
arsen [322]

Answer:

124 miles

Step-by-step explanation:

simplify mixed fraction as

6 1 / 5 = 31/5 inches

on the map 1 inch represent 20 miles

31/5 × 20

= (31 × 20)/5

= 620/5

= 124 miles

the distance between those two towns will be 124 miles.

3 0
3 years ago
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