Answer:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Step-by-step explanation:
We have a rectangular base, that its twice as long as it is wide.
It must hold 12 yd^3 of debris.
We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).
The surface is equal to:
The volume restriction is:
If we replace h in the surface equation, we have:
To optimize, we derive and equal to zero:
![dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65](https://tex.z-dn.net/?f=dS%2Fdw%3D36%28-1%29w%5E%7B-2%7D%20%2B%208w%3D0%5C%5C%5C%5C36w%5E%7B-2%7D%3D8w%5C%5C%5C%5Cw%5E3%3D36%2F8%3D4.5%5C%5C%5C%5Cw%3D%5Csqrt%5B3%5D%7B4.5%7D%20%3D1.65)
Then, the height h is:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Answer:
Dependent: Cost of the ride.
Independent : Number of rides.
Step-by-step explanation:
The independent variable is the variable what we change and the dependent variable is the variables which changes because of that changes.
Here the total cost of ride changes for any change in the number of rides.
Hence, the number of rides is the independent variable and the total cost of ride is the dependent variable
The height of Radon plant is 6.3 meters
<em><u>Solution:</u></em>
Given that, Allies plant has a height of 6 meters
Radon’s plant grows 
meters higher
To find: Height of Radon plant
From given information,
Height of Allies plant = 6 meters
Height of radon plant = + Height of Allies plant
Substituting the known value,
Thus Radon plant grows to height of 6.3 meters
Answer:
first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function
Step-by-step explanation:
