Using a calculator, the line of best fit for the function is given by:
y = 51.7x - 5.7.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator. For this problem, a linear regression is used because the data only increases.
From the given table, the points are:
(1, 68), (2,97), (3, 134), (4, 176), (5, 241), (6,335).
Inserting these points on the calculator, the line of best fit for the function is given by:
y = 51.7x - 5.7.
More can be learned about a line of best fit at brainly.com/question/22992800
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Answer:
The second term of the sequence is 8 False ⇒ B
The third term of the sequence is 3 True ⇒ A
The fourth term of the sequence is -3 True ⇒ A
Step-by-step explanation:
The form of the recursive rule is:
f(1) = first term; f(n) = f(n - 1) + d, where
- f(n - 1) is the term before the nth term
- d is the common difference
∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2
∴ The first term = 15
∴ d = -6
let us find the 2nd, 3rd, and 4th terms
∵ n = 2
∴ f(2) = f(1) - 6
∵ f(1) = 15
∴ f(2) = 15 - 6 = 9
∴ The second term is 9
∴ The second term of the sequence is 8 False
∵ n = 3
∴ f(3) = f(2) - 6
∵ f(2) = 9
∴ f(3) = 9 - 6 = 3
∴ The third term is 3
∴ The third term of the sequence is 3 True
∵ n = 4
∴ f(4) = f(3) - 6
∵ f(3) = 3
∴ f(4) = 3 - 6 = -3
∴ The fourth term is -3
∴ The fourth term of the sequence is -3 True
Answer:
Convergent; 81
Step-by-step explanation:
r = term2/term1 = 8/9
8/9 < 1 so convergent
Sum = 9/(1 - 8/9)
= 9/(1/9) = 81
Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:
Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:
Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:
Then, substituting values (and using 
), we get:
