Bianca filled 2 same-sized jars with flavored popcorn as a gift. She wants to glue a piece of ribbon around the edge of each lid
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If the radius of each jar lid is 3 centimeters, approximately what is the total length of ribbon she will need for the two jar lids? Use = 3.14.
If the radius of each jar lid is 3 centimeters, approximately what is the total length of ribbon she will need for the two jar lids? Use = 3.14.
2 answers:
Answer:
<h2>37.68</h2>Step-by-step explanation:
<em>The length of a piece of ribbon glued around the edge of the lid is equal to the circumference of the lid. First, use the formula to find the approximate circumference of one jar lid.</em>
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<em>Next, since Bianca wants to glue ribbon around the edge of both jar lids, multiply this length by two.</em>
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Answer:
The interval of convergence is:
Step-by-step explanation:
Given
The geometric series centered at c is of the form:
Where:
first term
common ratio
We have to write
In the following form:
So, we have:
Rewrite as:
Factorize
Open bracket
Rewrite as:
Collect like terms
Take LCM
So, we have:
By comparison with:
At c = 6, we have:
Take LCM
r = -\frac{1}{3}(x + \frac{11}{3}+6-6)
So, the power series becomes:
Substitute 1 for a
Substitute the expression for r
Expand
Further expand:
The power series converges when:
Multiply both sides by 3
Expand the absolute inequality
Solve for x
Take LCM
The interval of convergence is: