Answer:
120
Step-by-step explanation:
the lcm of those numbers is 120 I believe.
Alright let's start by noting that due to it having a square bottom and top the Length is equal to the Width. They gave us the surface area, but what we need is the length/width of the square top/bottom. So let's take the surface area and make it equal to the equation for the surface area of a rectangular prism (our shape):
192cm^2 = 2(lw + lh + hw)
Let's replace all the "l's" with w's (we can do this due to the fact that the length (l) equals the width (w) (l = w))
192cm^2 = 2(w*w + wh + hw)
192cm^2 = 2(w^2 + 2wh)
We know what the height (h) is as it is given in the problem (5cm).
192cm^2 = 2(w^2 + 2*5w)
192cm^2 = 2(w^2 + 10w)
Divide 2 on both sides.
96cm^2 = w^2 + 10w
Subtract 96 on both sides.
0 = w^2 + 10w - 96
Factor it out.
0 = (w - __)(w + ___)
0 = (w - 6)(w+16)
We have two possible answers of:
w = 6
w = -16
The only answer which makes sense is the positive one, because a box in real life can't have negative length.
So,
w = 6 cm.
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span> is 64π
There were 4 number of treatment conditions compared in this experiment for the given degree of freedom.
We have,
df = 3, 36
Now,
We know that,
Degree of freedom (df) = Number of treatments (t) - 1
i.e.
df = t - 1
So,
We have,
df = 3
Now,
Substituting the values,
We get,
3 = t - 1,
i.e.
t = 4
So, number of treatments conditions = 4
Hence we can say that there were 4 number of treatment conditions compared in this experiment for the given degree of freedom.
Learn more about treatments conditions here
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