20 cylindrical container tim required
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>
Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
- a - First element of geometric sequence
- b - Common ratio of the geometric sequence
- n - Element index within the geometric sequence
If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
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Answer: The correct statement is "Victoria's method is linear because the number of minutes increased by an equal number every month".
Explanation:
From the given information Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month.
The sequence of Zach is 10, 20, 40, 80. Which is a geometric sequence with common ratio 2. So, Zach's method is exponential.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.
The sequence of Victoria is 35, 50, 65, 80. Which is a arithmetic sequence with common difference 15. So, Victoria's method is linear.
From the correct statement is "Victoria's method is linear because the number of minutes increased by an equal number every month".
The number of costumes she can alter in four and a half hours is 18 customes.
<h3>How to calculate the number of custome?</h3>
From the information, the number of costumes she can alter varies directly with the amount of time spent working.
Since Belinda can alter four costumes in one hour, let the number of costumes she can alter in four and a half hours be represented by x.
This will be:
1/4 = 4.5/x
Cross multiply
x = 4.5 × 4.
x = 18
The number is 18.
Learn more about customes on:
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Answer: Exponential Growth
Step-by-step explanation:
Since this car is being divided, it will only increase it's value, hope this helps, Merry Christmas and have a nice day.
18 000 / (1/3) =
54000
