The ideal radius Alan must control is
cm.
<h3>Define perimeter of circle.</h3>
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10
cm
We know that perimeter of a circle is 2
r
Therefore 10
= 2
r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2
r = 10
- 1
r = 
r = 5 - 
Maximum radius is given by
2
r = 10
+ 1
r = 
r = 5 + 
The ideal radius Alan must control is
cm.
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Yes, it is continuous to its domain
<h2>
Explanation:</h2><h2>
</h2>
In order to find the domain of the function we need to get the restrictions:
1. From natural log:

2. From quotient:

Matching these two restrictions the domain is:

So the function is continuous to its domain because is defined for every x-value in the interval
)
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The answer is 184. 2711
Round it off is 184
Hope that helped :D
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one:
is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one:
is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
The denominator can be 3 if the numerator is 1