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nadya68 [22]
4 years ago
10

Write the complex number in standard form.

Mathematics
1 answer:
Mariulka [41]4 years ago
7 0
2-\sqrt{-12}=2-\sqrt{12}\cdot\sqrt{-1}=2-2\sqrt3i
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Of<br>Simplify.<br>1.<br>4^4<br>2^5​
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Answer:

4x4x4x4, 256

2x2x2x2x2, 32

Step-by-step explanation:

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Which is the greatest of the common factors of two or more numbers?
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Use complete sentences to describe why it is valid to say that both a function and its inverse describe the same relationship.
Serhud [2]

Answer:

Step-by-step explanation:

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse. 

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse. 

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x. 

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

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3 0
3 years ago
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar
murzikaleks [220]

Answer:

(a) 896

(b) 1000

(c) 910

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}

896

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}

1000

(c)1 man and 1 woman refuse to serve together.

Ways = Total ways - Both man and woman are select who refuse the serve together

^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}

910

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4 years ago
Simplify using law of exponents
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625 {g}^{32}  {k}^{48}
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