Answer:
602.88 cu ft.
Step-by-step explanation:
V = Bh where B is the area of the base, which is a circle in your problem.
Since the diameter is 8, the radius is 4.
So, B = 
V = Bh = 50.24(20) = 1004.8 cu ft = total volume of tank
60% of that volume is .60(1004.8) = 602.88 cu ft.
<span>n = n0(1 - 0.08)^t
= n0(0.92)^t
Putting n = n0 / 2:
1 / 2 = 0.92^t
t = log(1 / 2) / log(0.92)
= 8.31 yr.</span><span>
</span>
Answer:
(- 3, 1 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 2(x + 3) ← is in point- slope form
with (a, b) = (- 3, 1 )
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
