This sort of question is answered easily by a graphing calculator. The square cut from each corner should be
1.962 inches on each side.
_____
After creating a fold-up flap of x inches in width, the base of the box will be
(10 - 2x) by (15 - 2x)
and the depth of the box will be the width of the fold-up flap: x.
Then the volume of the box is
v = x(10 -2x)(15 -2x) = 150x -50x^2 +4x^3
The derivative of the volume will be zero at the maximum volume.
0 = dv/dx = 150 -100x +12x^2
This has roots at
x = (100 ±√(100² - 4(12)(150)))/(2·12)
x = (100 ± √2800)/24 = (25 ± 5√7)/6
Only the smaller of these solutions gives a maximum volume.
You should cut
(5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.
Answer:
C is correct
Step-by-step explanation:
Firstly, we have to solve for x in the solution set of the inequality
We have this as follows;
x + 2 ≥ 6
x ≥ 6-2
x ≥ 4
To graph this, we consider the middle sign which is greater than or equal to
So, the inequality sign has to face the right side
secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol
so, the correct answer here is option C
Angle 6 = angle 7 = 61⁰, as vertical angles
Angle 5 = angle 8, as vertical angles
angle 6+angle 7 + angle 5 + angle 8 =360
61+61 + angle 5 + angle 8 =360
angle 5 + angle 8 = 360 - 61*2 = 238⁰
Answer D. 238⁰
We know to each pound of such, there is 16 packets produced per?
So, 16 x 40 = 640.