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Andru [333]
3 years ago
7

The income of a computer analyst varies directly as the number of hours worked. If the analyst earned $256 for working 8 hours,

what is the constant variation?
Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

$32 per hour

Step-by-step explanation:

if a person makes $256 per 8 hours then we can divide 256 by 8 so that we get the unit of dollars per hour.

$256/8 hour= $32 per hour

you can write this as k=y/x

which can also be 32=256/8

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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
Please help me solve
ruslelena [56]

Answer:

Step-by-step explanation:

So for this we have to find the percentage by using 'percentage of error'

If at first it was 15 then it went up to 19 we have to subtract 15 - 19= -4

Ignore the negative. Now divide= 4/19= 0.21

The size went up by 21%

6 0
3 years ago
Read 2 more answers
Shawna reduces the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall
erik [133]
The answer to the problem is 4
3 0
3 years ago
What is the sum of 14.34 + 9.7?<br><br> 1.531<br> 15.31<br> 24.04<br> 2.404
oee [108]

Answer:

C also known as 24.04

Step-by-step explanation:

14.34+9.7

=14.34+9.7

=24.04


-lavira :)

5 0
3 years ago
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I need help!!!!!!!!!!!!
jolli1 [7]
24 23/100 hope this helped
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4 years ago
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