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3 years ago

8

Determine the cost of the two services will be the same amount and what the price will be? The struts family is deciding between

two lawn care services green lawn charges a $49 startup fee plus $29 per month the yard guards charges a $25 start up fee plus $37 per month

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

$136

green lawn

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Estimate the quotients 123.8 ÷ 62

zheka24 [161]

>> answer-1.99677419355. Estimate>> 124÷ 62 = 1 not sure

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3 years ago

Solve the equation<br>algebra 2<br><br>-6=3x-6y<br>4x=4+5x

Talja [164]

3x = 6y - 6
x = 2y - 2

4 ( 2y - 2 ) = 4 + 5 ( 2y - 2 )
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3 years ago

Which expression is a fourth root of -1+isqrt3?

aleksklad [387]

Answer:

Step-by-step explanation:

$\sf n^{th}$ roots of a complex number is given by DeMoivre's formula.

$\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}$

Here, k lies between 0 and (n -1) ; n is the exponent.

$\sf -1 + i\sqrt{3}$

a = -1 and b = √3

$\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}$

$\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}$

$\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})$

$\sf = \dfrac{-\pi }{3}$

n = 4

For k = 0,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]$

For k =1,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]$

For k =2,

$z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]$

For k = 3,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]$

For k = 4,

$\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]$

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2 years ago

A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30

never [62]

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18

3 0

2 years ago

F (x)=5x+1 9(x)=-2x+15

german

Answer:

x = 0

Step-by-step explanation:

(x)=5x+19(x)=-2x+15

We move all terms to the left:

(x)-(5x+19(x))=0

We add all the numbers together, and all the variables

x-(+24x)=0

We get rid of parentheses

x-24x=0

We add all the numbers together, and all the variables

-23x=0

x=0/-23

x=0

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3 years ago