Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
Volume of the pool will be defined as V = πr²h
V = π(15)²(70)
V = 15750π ≈ 49480 cubic feet of water.. or about 370, 136.1296 gallons
1 cubic ft is equal to 7.48052 gallons
Answer:
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Step-by-step explanation:
323rd century fox news has been in the past year and it is a different
Answer:
Step-by-step explanation:
We are given the recursive formula:
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
Where d=3 is the common difference.
We plug in this values to get:
We now expand and simplify to get:
We simplify to obtain:
Solution: We are given the population mean 
Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.
The mean of shift 1 is:
The mean of shift 2 is:
The mean of shift 3 is:
The mean of shift 4 is:
We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.
