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3 years ago

Select all tables that represent a proportional relationship between x and Y.

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

0 1 2 3 and 0 8 16 24

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

Write 0.81 as a fraction in simplest from

Kazeer [188]

Answer:

81/100

Step-by-step explanation:

Here's how to convert 0.81 to a fraction...

There is not much that can be done to figure out how to write 0.81 as a fraction, except to literally use what the decimal portion of your number, the .81, means.

Since there are 2 digits in 81, the very last digit is the "100th" decimal place.

So we can just say that .81 is the same as 81/100.

So your final answer is: 0.81 can be written as the fraction 81/100

7 0

3 years ago

A boat is marked up 20% on the original price. The original price was

pishuonlain [190]

Answer:

Original price was $50 x 0.20 = 10

original price $50 - 10 = $40 the sale price before sales tax

Step-by-step explanation:

hopefully it helps

3 0

2 years ago

16 larger than the product of a and b

leva [86]

A(b)+16 = 16 larger than the product of a and b.

7 0

3 years ago

Read 2 more answers

Jason is planning to travel to Philadelphia to Orlando. His destination is 1,010 miles one way. If he flies, he can get a one-wa

Marysya12 [62]

A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.

3 0

3 years ago