Answer:
Step-by-step explanation:
From inspection of the graph, the given points are:
If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
<u>General form</u> of a geometric sequence:
where:
- a is the first term
- r is the common ratio
is the nth term
Rewrite the given points as terms of the sequence:
- (2, 9) ⇒ a₂ = 9
- (3, 3) ⇒ a₃ = 3
- (4, 1) ⇒ a₄ = 1
To find the common ratio r, divide consecutive terms:
Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:
Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:
Learn more about geometric sequences here:
brainly.com/question/25398220
brainly.com/question/27783194
Answer: Andres
Explanation:
y = goals made
x = goals attempted
For Andres, his ratio is y/x = 4/8 = 1/2 = 0.50 meaning that he made 50% of his attempts
For Deyvi, the ratio is y/x = 9/20 = 0.45 = 45%
Andres has the better record.
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:
In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus
. - Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus
- 14 poles, thus the volume is multiplied by 14.
Then:
23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697
