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Nadusha1986 [10]
4 years ago
6

HELP!

Mathematics
1 answer:
scoray [572]4 years ago
6 0

Answer:

96.52

Step-by-step explanation:

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Which expression is equivalent to (sqrt3 + i)^3?
Anarel [89]

Express √3 + i in polar form:

|√3 + i| = √((√3)² + 1²) = √4 = 2

arg(√3 + i) = arctan(1/√3) = π/6

Then

√3 + i = 2 (cos(π/6) + i sin(π/6))

By DeMoivre's theorem,

(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³

… = 2³ (cos(3 • π/6) + i sin(3 • π/6))

… = 8 (cos(π/2) + i sin(π/2))

… = 8i

4 0
3 years ago
An oxygen tank contained 212 12/3 liters of oxygen before 27 1/3 liters were used. If the tank can hold 240 3/8 liters, how much
lukranit [14]
So, initially   240\frac{3}{8} -212 \frac{12}{3} were empty:

this is :

240  \frac{3}{8} - 212  \frac{12}{3}  = 240  \frac{3}{8} - 212  +4 = 240  \frac{3}{8} - 216= 24  \frac{3}{8}

12/4 is 4 so that's why i substituted it with 4.

now, later 27 1/3 were used so we add this tho the original empty space

 24  \frac{3}{8}+ 27  \frac{1}{3} =  24  \frac{9}{24}+ 27  \frac{8}{24} = 51  \frac{17}{24}


which is the result!





5 0
3 years ago
4a-(a+6)=12-36 please help i am confused again lol
andreev551 [17]

Answer:

a=6

Step-by-step explanation:

4 0
3 years ago
Gradient from 2 - 1/2y = 0​
kirill115 [55]

Given :

  1. 2 - 1/2y = 0

To find :-

  • The gradient form .

Solution :-

<u>The </u><u>gradient</u><u> form</u><u>/</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u>

  • y = mx + c ,

<u>On </u><u>converting</u><u> </u><u>,</u>

  • 2 - 1/2y = 0
  • 1/2y = 2
  • y = 2*2
  • y = 4
  • y = 0x + 4
4 0
2 years ago
How to solve this showing all work ! Also explain why they aren’t polynomials if you can :)
Lesechka [4]

Polynomials are linear combinations of positive integer powers. For example,

x^{100}+30x^2-\sqrt 2\,x+21

is a polynomial, but

-x^{-1}-4x^\pi+x^{3/2}

is not.

(In case you're unfamiliar with the term, a linear combination of two quantities is the sum of scaled versions of those quantities, e.g. a general linear combination of a and b is k_1a+k_2b, where k_1,k_2 are any numbers.)

8x^2-18\sqrt x+5x-3 is not a polynomial; the offending term is -18\sqrt x, or -18x^{1/2}.

7 0
3 years ago
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