Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
9h < -79 - 2
9h < -81
h < -81/9
h < -9
Answer:79 , 80 , 81
Step-by-step explanation:What three consecutive integers have a sum of 240? What three consecutive integers have a sum of 240? Which means that the first number is 79, the second number is 79 + 1 and the third number is 79 + 2. Therefore, three consecutive integers that add up to 240 are 79, 80, and 81.
Answer:D) 1 hr
Step-by-step explanation:
Given
Pump A and B can fill tank in 
Pump A and C can fill tank in 
Pump B and C can fill tank in 
Let A be the total hr taken A therefore rate of 
Let B be the total hr taken B therefore rate of 
Let C be the total hr taken C therefore rate of 
-----1
-----2
-----3
Adding 1,2 & 3



thus time taken by A,B and C combined is 1 hr
<span>In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. Undefined terms have not been defined, and defined are answered. They are terms that have a relationship with the point od discussion. :)</span>