The question above may be solved using the overall mass and component balances. If we let x be the number of liters of peroxide that should be added, the final mixture will have a quantity of x+12 L. The peroxide balance before and after mixing is,
x(1) + 12(0.08) = (x + 12)(0.16)
The value of x is 1.143. Thus, approximately 1.143 L of peroxide should be added to the original solution.
The value of 3 in 3,456 is 3000 and the value of the 3 in 546,300 is 300 so you would multiply 3000*300 if I am correct.
I hope this could help.
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Answer:
During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.
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.
