<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
The density is 4, and the mass is 12.
So we just plug this into the equation
d = m/v
4 = 12/v
We know that the volume must be 3 to make the equation true, because 12/4 = 3.
Therefore, the answer is F. 3 cm ^3
Answer:
Yes!
Step-by-step explanation:
It does not have a repeatinf decimal
Step-by-step explanation:
Total no. of horses and chicken=24
C+H=24
Total no. horses be =24-C
Total no. legs=66
---66=4(24-C)+2C { As horses have 4 legs and chicken has 2 legs}
66=96-4c+2c
66-96=-2c
-30=-2C
Chicken=15
Therefore no. horses=24-C
=24-15
=9horses
There fore no. of chicken legs=15×2 = 30 legs
Therefore no. of horse legs=9×4=36 legs
First solve for g(1)
Plug in 1 for the equation g(x)
g(1) = -(1) + 4
g(1) = 3
Now plug 3 in for f(x)
f(3) = 3(3)^2 + 4(3) + 1
f(3) = 3(9) + 12 + 1
f(3) = 27 + 12 + 1
f(3) = 40
Solution: f(g(1)) = 40
