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user100 [1]
3 years ago
15

Find the number of distinguishable permutations of the letters in the word vaccination

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

\frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(2 \times 1)(2 \times 1)(2 \times 1)(2 \times 1)}
take me the brayniest.i hope it was helpful
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The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
What is the y-intercept for the function f(x)=2•5+4<br> A)y=2<br> B)y=4<br> C)y=6<br> D)y=14
Oksi-84 [34.3K]

Answer:

D) y=14

Step-by-step explanation:

2×5+4

Two multipled by five then add 4 is 14

5 0
2 years ago
Step By Step please &amp; Thank you.
lions [1.4K]

Answer:

2/3

Step-by-step explanation:

\frac{3}{4} n =  \frac{1}{2}  \\  \\ multiply \: both \: sides \: by \:  \frac{4}{3}  \\  \\ \frac{ \cancel4}{\cancel3}   \times  \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \:  \:  \red{ \bold2}}{3}   \times  \frac{1}{ \cancel2}  \\  \\n =  \frac{2 \times 1}{3 \times 1}  \\  \\ n =  \frac{2}{3}

4 0
2 years ago
Read 2 more answers
for freinds share 32 tokens at the arcade .if they share them equally ,what fraction of tokens will each person get?            
Anvisha [2.4K]
32/4=8

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Each person will get 8 tokens. 8 tokens turns out to be a quarter of the tokens that are available.
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3 years ago
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Help please and I will help u out with anything even boyfriend trouble or girlfriend trouble
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You should get -15+(-5r)
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3 years ago
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