Answer:
27
12
3
0
3
12
27
Step-by-step explanation:
y=3x^2
JUST PLUG IN X
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer:
C.

.
Step-by-step explanation:
Let r represent the cost of one packet of radish seeds and let t represent the cost of one packet of tomato seeds.
Roman spent $62.75
This implies that,

Roman bought 32 packets of seeds and one packet of radish seeds costs
$ 1.75.
One packet of tomato seeds costs $ 2.50.
This implies that,

Using guess and check means we substitute into the given equation.
A) We substitute

into both equations.



Both equations are not satisfied.
B)
We substitute

into both equations.



Both equations are not satisfied.
C)
We substitute

into both equations.



Both equations are satisfied.
Hence the solution is,

D) We substitute

into both equations.



Both equations are not satisfied.
Answer:
24 miles
Step-by-step explanation:
50 minutes = 8 miles
100 miles = 16 miles
150 minutes = 24 miles
Answer:
131 remaining after 72 days
Step-by-step explanation: