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Cerrena [4.2K]
4 years ago
15

There are three families attending a concert together. each family consists of 1 male and 2 females. in how many ways can they b

e seated in a row of nine seats if (a) there are no restrictions? ways (b) each family is seated together? ways (c) the members of each gender are seated together?
Mathematics
1 answer:
jok3333 [9.3K]4 years ago
4 0
A: (1*2)*3
b: 6
c: 4!2!=48
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If 1 plus 4 = 5, 2+5 = 12, 3 plus 6=21 what does 5+8= ? I think 47
klio [65]
1 + 4 = 5, in this question, there is 1 "4", and 1 + 4 = 5

2 + 5 = 12, in this question, there are 2 "5", and 2 + 5 + 5  = 12

3 + 6 = 21, in this question, there are 3 "6", and 3 + 6 + 6 + 6 = 21

So for 5 + 8, there are 5 "8", so:

5 + 8 + 8 + 8 + 8 + 8 = 45

45 is your answer

hope this helps
3 0
4 years ago
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What is the value of x
Olin [163]

Answer:

x = 110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

x = 110

4 0
3 years ago
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Which shows the first step in the solution to the equation log2x + log2(x – 6) = 4?
Georgia [21]
<span> log2[</span>x(x<span> – 6)] = 4 

That is your answer hope it helps.</span>
4 0
3 years ago
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Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11
Alexus [3.1K]

Answer:\frac{-7\sqrt{2} }{4}

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get \sqrt{16}-x\sqrt{8} =11. We know that the square root of 16 is ±4, so now our equation is ±4 - x\sqrt{8}=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - x\sqrt{8}=11. We can use inverse operations to make the a little easier to solve: -7= x\sqrt{8}. We divide both sides by \sqrt{8} to get \frac{-7}{\sqrt{8} } =x, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by \frac{\sqrt{8} }{\sqrt{8} } (which is equal to one so we can use it) which is equal to \frac{-7\sqrt{8} }{8}. Let's finish this by simplifying it. \sqrt{8} =2\sqrt{2} (2x2^{2}). We can simplify it further by simplifying the 2, making it \frac{-7\sqrt{2} }{4}.

Hope this wasn't too confusing! I'll answer any questions.

8 0
3 years ago
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The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x
DaniilM [7]
We have the following equation:
 x2 + y2 + 42x + 38y - 47 = 0
 We rewrite the equation:
 x2 + 42x + y2 + 38y - 47 = 0
 x2 + 42x + y2 + 38y = 47
 Rewriting we have:
 x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
 x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
 Rewriting we have:
 (x + 21) ^ 2 + (y + 19) ^ 2 = 849
 The center of the circle is:
 (x, y) = (-21, -19)
 The radio is:
 r = root (849)
 r = (849) ^ 2

 A circle of the same radius is given by:
 x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
 Let's check:
 x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
 x ^ 2 - 50x + y ^ 2 - 30y = - 1
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
 x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
 (x-25) ^ 2 + (y-15) ^ 2 = 849
 Answer:
 
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
 
(x, y) = (-21, -19)
 
r = (849) ^ 2
 
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
5 0
3 years ago
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