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kow [346]
3 years ago
5

Help me please? 15 points to anyone who can help me!"Find the number of permutations of the first nine letters of the alphabet t

aking six letters at a time."

Mathematics
1 answer:
gladu [14]3 years ago
7 0
_{9}P_{6}=\frac{9!}{(9-6)!}=\frac{9!}{3!}=\frac{362,880}{6}=60,480
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Solve equation, check for extraneous solutions
fiasKO [112]

Start with

1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}

We observe that both fractions are not defined if n=0. So, we will assume n \neq 0.

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}

We multiply both sides by 3n^2:

n^2-4n-2=3n^2

We move everything to one side and solve the quadratic equation:

2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1

We check the solution:

1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0

which is true

8 0
3 years ago
If mZOKL = 80°, then what is mZHKJ?<br> С<br> E<br> А4<br> N<br> H<br> K<br> M
Nookie1986 [14]
MOKL and mHKJ are vertical angles, so they’re congruent
so mHKJ is also 80°
5 0
3 years ago
What is a definition of a Line ?
solmaris [256]

Answer:

<u><em>noun</em></u>

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4 0
3 years ago
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
bija089 [108]

Answer:

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3 years ago
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Aleks [24]

Hey there, the answer is C.

After multiplying, you will get .37278. However, it's asking you to consider the significant figure of 3 so you'll have to round it to .373. C has that only option

7 0
3 years ago
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