Find the number in the tenth place 0 and look one place to the right for the rounding digit 9. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Answer: 0.1
Answer:
5 feet
Step-by-step explanation:
Add 0.25 to both sides of the equation:
4.75 +0.25 = x - 0.25 +0.25
5.00 = x
The original height of the water in the pool was 5.00 feet.
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function

we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at
i.e between 0 to 12
So, we can take
and then solve for x.

⇒ 
⇒
⇒ 
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
Answer:
7n^3 + 6
Step-by-step explanation:
(4 + 2n^3) + (5n^3 + 2) =
= 2n^3 + 5n^3 + 4 + 2
= 7n^3 + 6
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.