Answer:
∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
Step-by-step explanation:
Given:
To Find:
∑₁⁸i =?
Solution:
Σ This symbol called Sigma means "summation up"
∴ ∑ n mean sum for all n
But if ∑₁³n means Sum for n=1 , 2 ,and 3 ADD
∴ ∑₁³n = 1 + 2 + 3
∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
Answer:
option D
Step-by-step explanation:
Answer:
The difference of z and y must be 2x
Step-by-step explanation:
Answer:
68 feet square
Step-by-step explanation:
The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...
(272 ft)/4 = 68 ft
_____
<em>More formally ...</em>
You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...
area = x(136 -x)
The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.
