The answer is W.E.B. Du Bois
With 3D printing, in society, most goods will be designed on computers and “manufactured” in the homes of consumers, which over time will reduce both the costs and environmental impacts of transportation.
The dimensions of the smaller holding pens from the parameters given are; 96 ft and 31 ft
<h3>What dimensions will maximize the area?</h3>
From the complete question, if the side lengths of the big rectangle are x and y, then the expression for the area A is:
A = x*y
Then perimeter since we have 384 ft of fencing available is;
2x + 2y = 384
y = (384 - 2x)/2
y = 192 - x
Put 192 - x for y in area formula;
A = x(192 - x)
A = 192x - x²
Completing the square of this are equation gives;
A = 9216 - (x - 96)²
This means that A is maximum at x - 96 = 0
Thus, A is maximum when x = 96 ft
At A_max; y = 192 - 96 = 96 ft
Since the area of the bigger rectangle has been maximized, it means that we have also maximized the area of the smaller pens. Therefore its' dimensions will be;
x_small = 96 ft/3 = 31 ft
y_small = 96 ft
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The weight percent is of caffiene is 7.98%.
There are several ways of expressing concentration in chemistry. One of the methods of expressing concentration is by the use of percentage.
In this case, we want to obtain the percent weight/weight concentration of caffeine in benzene.
From the question, we can see that;
Mass of solute = 6.5 g
Mass of solvent = 75 g
percent w/w = mass of solute/ mass of solute + mass of solvent × 100/1
percent weight of caffeine=
6.5/6.5 + 75 × 100/1 =7.98%
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