WORKING TOGETHER,MARIO AND MALF CAN PAINT A WALL IN 4 HOURS. WORKING ALONE, MARIO CAN DO THE SAME JOB IN 12 HOURS. HOW LONG IT W
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The decay factor of the exponential function given in the table is of .
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:
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The rule for the sequence is S(n) = 2S(n-1) - S(n-2)
Alternative form: S(n) = S(n-1) + 3
Step-by-step explanation:
In this problem, we know the first two terms of the sequence:
S(1) = 2
S(2) = 5
We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:
S(n) the current term
S(n-1) the previous term
S(n-2) the term before the previous term
This statement translates into the following sequence:
S(n) = 2S(n-1) - S(n-2)
Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).
We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):
We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as
S(n) = S(n-1) + 3
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Answer:
The mean is 52.
Step-by-step explanation:
The mean is the sum of all elements divided by the number of elements.
In this problem, we have that:
Elements
56 47 48 52 62 59 49 56 43 48
Sum
Number of Elements
10 elements
The mean is