Answer:
THANKS FOR THE FREE POINTS!
Step-by-step explanation:
u cant report me bc it’s against guidelines to use this for exams or timed tests
548yds(3ft/yd)(mi/5280ft)=137/440 miles
You have a typo in your answers or maybe there is an E. none of the above :)
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
Hello,
<em>3/4 is a rational number because it can be written as a fraction.</em>
Thanks,
<em>Deku ❤</em>
Answer:
C
Step-by-step explanation:
So we have the product of:
Multiply. Combine like terms:
The first term is 24.
The second term stays as it is.
The third term will equate to y^7. Recall how to multiply exponents. The base stays constant and you add the exponents. Thus:
Our answer is C.
And we're done!
