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QveST [7]
3 years ago
13

Which is the prime factorization of 84?

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0
Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.
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A palindrome is a string whose reversal is identical to the string. How many bit strings of length n are palindromes?
alisha [4.7K]

Answer:

The number of  palindromes is  

      2^{\frac{n}{2} } when n is even and

      2^{\frac{n +1}{2}  } when n is odd

Step-by-step explanation:

From the question we are told that

    The  length of the string is  n

Generally palindrome is evaluated by considering the first part of a string

  When the the length of the string is an even number then

it means that the first part of the string is \frac{n}{2}

Hence the number of  bit strings of length n that are  palindromes is evaluated as

       p(n_{even }) =  2^{\frac{n}{2} }

But When the the length of the string is an odd number then

it means that the first part of the string is \frac{n-1}{2}

Hence the number of  bit strings of length n that are  palindromes is evaluated as

       p(n_{odd }) =2^{\frac{n -1}{2} +1 } = 2^{\frac{n +1}{2}  }

Generally each bit could be either 0 or  1

Hence the number of  palindromes is  

      2^{\frac{n}{2} } when n is even and

      2^{\frac{n +1}{2}  }  when n is odd

           

4 0
3 years ago
How do I know if it’s similar, congruent or neither?
Phantasy [73]

Answer:

These two triangles are congruent.

Step-by-step explanation:

You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.

Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.

5 0
2 years ago
Thirty-three percent of all students at a high school like beef stew. Put of 300 students, 40 are selected randomly and asked wh
Elan Coil [88]
Thirty-three percent of all students at a high school like beef stew. Put of three hundred students, forty are selected randomly and asked whether they liked beef stew. If liking beef stew is a success, the probability of a failure for this binomial experiment would be 0.67. The answer would be letter D.
7 0
3 years ago
Read 2 more answers
Find the value of x.
Artemon [7]

{5}^{2}  +  {x}^{2}  =  {8}^{2}

25 +  {x}^{2}  = 64

Subtract both sides 25

25 - 25 +  {x}^{2}  = 64 - 25

{x}^{2}  = 39

Thus :

x =  \sqrt{39}

x = 6.245

6 0
2 years ago
In which quadrant is the point (4, -5)?
oksian1 [2.3K]

Answer:

quadrant four (IV)

Step-by-step explanation:

hope this helps

5 0
3 years ago
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