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prisoha [69]
3 years ago
14

-7/10+7/15+1/-20+-9/10+11/15+11/-20 what is the answer please help me .....!!!!

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

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Use DeMoivre's theorem to evaluate the expression
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Answer:

B. \dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}

Step-by-step explanation:

DeMoivre's theorem:

If the complex number z=r(\cos \alpha+i\sin\alpha), then for natural number n

z^n=r^n(\cos n\alpha+i\sin n\alpha).

In your case,

z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)

and you have to evaluate z^4.

By DeMoivre's theorem,

z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.

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2 years ago
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take n
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The graph is attached. :D

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4 0
3 years ago
According to some students what is the true purpose of homework
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To annoy everyone and make life hard as heck. There is no true purpose behind it and teachers just like to make everyone's home life 10x more annoying. They also do it because 99% of teacher are crazy cat people with no life. So for them homework keeps them busy 
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3 years ago
Read 2 more answers
Which algebraic expression is a polynomial with a degree of 5?
Eddi Din [679]
The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4
6 0
3 years ago
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If 3(r+300)=6, then what would be the value of r+300-2?
saveliy_v [14]

Solve for r in the first equation:

3(r+300) = 6

Use the distributive property:

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Now you have r, replace r in the second equation and solve:

r +300 -2 =

-298 + 300 - 2 = 0

The answer is 0.

6 0
3 years ago
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