If you're interested in determining which player's game performances show the least variability, you'd want to identify the smallest and largest number of points (minimum and max).
The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.
The dimensions of your box will be 8 ft square by 4 ft high.
_____
If the base dimension is x ft, the area (quantity of material) is
... a = x² + 4x(256/x²)
... a = x² + 1024x⁻¹
Then the derivative of area with respect to x is
... a' = 2x -1024x⁻²
Setting this derivative to zero and solving for x gives the value of x for minimum area.
... 0 = 2x -1024/x²
... 512 = x³
... x = 8 . . . . . . . . same as above.
Answer:
side of the pool = 11 m
Step-by-step explanation:
<u>Square Plot:</u>
side = 35 m
Area = 35 * 35 = 1225 sq.m
Area of lawn = 1104 sq.m
<u>Swimming pool:</u>
Area of the Swimming pool = 1225 - 1104 = 121 sq.m
side * side = 121 = 11 * 11
side = √11 * 11
side of the pool = 11 m
Answer:
The expression has two variables x and y.
Step-by-step explanation:
<u>What is a variable?</u>
A variable is a letter, for instance or , that represents an unknown number.
Given the expression
The given expression has three terms which are x, 4y, and -9.
Here:
- The term 'x' is the unknown variable x.
- The term '4y' has a coefficient (the number next to a variable y) of 4.
- The term '-6' is a constant.
As we already know that a variable is a letter, for instance x or y, that represents an unknown number. In other words, the values of x, or y are unknown to us.
Thus, the expression has two variables x and y.
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b