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irina [24]
3 years ago
5

Can anyone help me out please!!!

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
Hope this helps you!!!!

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What times what equals 59
sweet-ann [11.9K]

59 is a "prime number".  It has no factors except ' 1 ' and itself.

So the only possibility is  1 x 59 .

5 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
The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th
juin [17]

Answer:

52.5n+449.85

Step-by-step explanation:

The cost is given for <em>1 sweatshirt</em>. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85

This is the expression that represents the cost of 15 sweatshirts.

8 0
3 years ago
A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cu
Travka [436]

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it: 

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

7 0
3 years ago
PLEASE HELP:))))))) 15points
Zielflug [23.3K]

Answer:7 cm

Step-by-step explanation: you know everything except the radius. Use this equation to help you: 44=2*pi*radius

Divide 44 by 2pi. Then u have your radius which is 7

7 0
3 years ago
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