Answer:
-0.75, -7/10, -1/2, 0.50, 3/5
Answer:
9m+6m^2n
Step-by-step explanation:
12mn-3mn=9mn
4m^2n+2m^2n=6m^2n
==> 9m+6m^2n
or rewrite as 3m(3+2mn)
Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is:
Answer & Step-by-step explanation:
1) 4x
2) y-8
3) 6/x
4) 12-y
5) y+9
6) 5^2
7) x^4
8) 9+n
9) 64-y
10) 12/n
11) x^2/7
12) x-8=22
13) 2a-b^2
14) 12-ab