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n200080 [17]
4 years ago
5

Clayton volunteered for 33 hours over a 6-week period at the local community center. Assuming he continues to volunteer at the s

ame rate, how many volunteer hours will Clayton accumulate in a 20-week period?
Mathematics
1 answer:
Neko [114]4 years ago
3 0
For this case, we can make the following rule of three:
 6 week -----------> 33 hours
 20 week ---------> x
 From here, we clear the value of x.
 We have then:
 x = (20/6) * (33)
 x = 110 hours
 Answer:
 
Clayton will accumulate 110 volunteer hours in a 20-week period
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Which equation has the same solution as 2x^2+x-3
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Given the sequence below, and that sequence has a domain of n 2 1, find the fifth
solmaris [256]

The fifth term of f(n) = n² - 3 is 22

\texttt{ }

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

\boxed{T_n = a + (n-1)d}

\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

\texttt{ }

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

\boxed{T_n = a ~ r^{n-1}}

\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

\texttt{for } n \geq 1 :

f(n) = n^2 - 3

f(5) = 5^2 - 3

f(5) = 25 - 3

f(5) = \boxed{22}

\texttt{ }

<h3>Learn more</h3>
  • Geometric Series : brainly.com/question/4520950
  • Arithmetic Progression : brainly.com/question/2966265
  • Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0
4 years ago
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