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Marianna [84]
2 years ago
9

Can someone please explain this in detail?

Mathematics
2 answers:
kykrilka [37]2 years ago
5 0

Factorize the given number:

5^5 - 5^3 = 5^3 \left(5^2 - 1\right) = 5^3 \times 24 = 2^3 \times 3 \times 5^3

The first equality follows from

5^5 = 5^{3 + 2} = 5^3 \times 5^2

so both 5⁵ and 5³ share a common factor of 5³ that we can pull out as we did.

Then the distinct prime factors are 2, 3, and 5; their sum is 2 + 3 + 5 = 10.

Taya2010 [7]2 years ago
4 0
<h3>Answer:  10</h3>

Work Shown:

5^5 - 5^3\\\\5^3(5^2 - 1)\\\\5^3(25 - 1)\\\\5^3(24)\\\\5^3(8*3)\\\\5^3(2^3*3)\\\\2^3*3*5^3\\\\

The distinct prime factors are: 2, 3, 5. We'll ignore the exponents at this point.

Those primes sum to 2+3+5 = 10

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Find the sum of the first 35 terms of the following series, to the nearest integer.<br> 3, 11, 19...
Tems11 [23]
<h3>Answer:   4865</h3>

=======================================================

Explanation:

The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one

  • 3+8 = 11
  • 11+8 = 19

etc. This means the common difference is d = 8.

The first term is a = 3

Let's use this formula

S = n*(2*a + d(n - 1) )/2

so we can find the sum of the first n terms. In this case, n = 35

So,

S = n*(2*a + d(n - 1) )/2

S = 35*(2*3 + 8(35 - 1) )/2

S = 35*(6 + 8(34))/2

S = 35*(6 + 272)/2

S = 35*(278)/2

S = 35*139

S = 4865

4 0
3 years ago
Solve the inequality.
maw [93]

The solution to inequality is less than the negative of 21. Then the correct option is C.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−(1/3)x + 10 > 17

Then the solution to the inequality will be

−(1/3)x + 10 > 17

       −(1/3)x > 17− 10

        −(1/3)x > 7

When the sign is changed then the equality sign also changed.

(1/3)x < −7

     x < − 21

The value of x is less than the negative of 21.

Thus, the correct option is C.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t
Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

2 players are taken from a set of 25, hence the number of ways is given by:

P_{(25,2)} = \frac{25!}{23!} = 600.

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

4 0
2 years ago
Correct answer gets brainliest
rosijanka [135]

Answer:

yea its 828

Step-by-step explanation:

Its alotta work that ion wanna type but that should b the answer

4 0
3 years ago
Choose the function with the largest constant of variation? A 2-column table with 5 rows. Column 1 is labeled x with entries 1,
Zielflug [23.3K]

Answer:

A reasonable way to use them is to code the five most-common strings in the ... bytes, compared to a bitmap size of only 6 × 8 bits = 6 bytes. ... Columns 2, 4, 5, and 7 yield the six runs 0,5,1,1,1,eol each. ... 2.3: Replacing 10 by 3 we get x = k log2 3 ≈ 1.58k. ... Table Ans.3: Probabilities and Entropies of Two Symbols.

Step-by-step explanation:

?

3 0
3 years ago
Read 2 more answers
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