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mr Goodwill [35]
3 years ago
8

If w is a string of english letters a–z (all uppercase for the purposes of this problem), let wr denote the reverse of w; (train

)r=niart. a palindrome is a string that is its own reversal: w = wr. for example, bzrzb is a palindrome of length 5. we are not concerned with whether it is an actual english word. find a formula for the number of palindromes of length k. you will need to treat odd (k = 2m + 1) and even (k = 2m) lengths differently
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

f(x)=\left \{\begin{array}{rl}26^{\frac{k}{2}}&\text{for k even}\\26^{\frac{k+1}{2}}&\text{for k odd}\end{array}\right.

Step-by-step explanation:

Half the length of the palindrome can be any possible sequence of the 26 available letters. The other half is constrained to be the reverse of the same sequence. For odd length sequences, the middle letter can be any of the 26.

So, for k even, the number of palindromes is 26^(k/2). For k odd, the number is 26·26^((k-1)/2) = 26^)((k+1)/2).

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Answer:

C

Step-by-step explanation:

Convert to improper fraction and multiply them, then convert back to mixed fraction :)

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3 years ago
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grigory [225]

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

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Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

y-y_1=m(x-x_1)

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y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15

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3 years ago
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Still helping my lil sister <br> Answer all three
wel

Answer:

3. D

4. C

5. I don't know sorry

Step-by-step explanation:

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Effectus [21]
Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month. 
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Translating this into an equation, we will find that:
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vovangra [49]

Answer:

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Step-by-step explanation:

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