Y = 4x + 2
y = 4×10 + 2
y = 42
the 10th term is 42
<h3>
Answer: 5/9</h3>
As an approximate decimal, this is 0.5556 which converts to 55.56%
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Explanation:
Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.
We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.
The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.
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You could also compute 0.50/0.90 to get the same answer.
Answer:
The expression provided by the area (square meters) is given by: 
.
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so 
.
The radius of the circle formed by the algae colony is a function of time t (in minutes), so 
. So,
[Substituting the expression for radius]
Then the expression provided by the area (square meters) is given by: .
The value of x is 72
Each side increased by 20%
