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3 years ago

Write 537 in the base six system

Mathematics

2 answers:

Firdavs [7]3 years ago

7 0

Answer:

2253 in base 6.

Step-by-step explanation:

The place values in base 6 are:

1, 6, 36, 216, 1296 and so on.

We have 537 in base 10 so we first find how many 216's there are in 537:

537 / 216 = 2 remainder 105

Now 105 / 36 = 2 remainder 33

33 / 6 = 5 remainder 3.

So the answer is 2253 in base 6.

Shtirlitz [24]3 years ago

6 0

Hi I don’t know this a lot but I have to answer question so I think it’s 20

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masya89 [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

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

What is the equation of the line that passes through the point (-2, -1) and has a<br> slope of ?

enot [183]

Answer:

Step-by-step explanation:

6 0

4 years ago

64, –48, 36, –27, ...

frozen [14]

The only formula that can be used to describe the sequence is definitely the third one $f(x + 1) = -3/4 f(x)$ . So count like that $64* -\frac{3}{4} = -48
48* -\frac{3}{4} = 36$ and so on. You can check others by yourself to check if I'm right or not.

4 0

3 years ago

What is the average for a half marathon time on a 35 year old man?

nevsk [136]

Average time for a 35 year old man to run half a marathon is 9:50:38

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3 years ago