Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Answer:
C. (5, 3)
Step-by-step explanation:
this point is within the answer area... look below at the graph of both linear inequalities
Answer:
10
Step-by-step explanation:
Here we go!
Slope Formula:
What we know: (-4, -52) and (-1, -22)
Plug in the numbers!
Fix it!
Add
Divide
(negative divided by a negative is a positive!!)
Slope is 10
Hope this helps!
First remove the parenthes as there is a negtive outside the second parentheses the signs of the terms inside change.
= 2n^4 - 8 - 3n - 4n^2 - 7n - 4
Now simplify like terms
= 2n^4 - 4n^2 - 10n - 12
= 2(n^4 - 2n^2 - 5n - 6)
Answer:
See below.
Step-by-step explanation:
g(x) and f(4) refer to different functions.
Since we are not given f(x) is, we cannot answer the question.
