35.36 of the carbon-14 will still remain. Hope this helps!:)
Answer:
C(x) = 100 + 12x
L(x) = 275 + 10x
Step-by-step explanation:
Let x = no. of hours
C(x) = 100 + 12x
L(x) = 275 + 10x
A standard form for the quadratic function is
f(x) = ax² + bx + c
where the coefficients are a,b, and c.
The given quadratic function is
f(p) = p² - 8p - 5
When this function is compared to the standard form, with p replacing x, we obtain
a = 1 because the leading term is 1*p²,
b = -8 because the linear term is -8*p,
c = -5 because the constant term is -5.
Answer:
Of the answers given the correct one is the 3rd one:
a = 1, b = -8, c = -5.
Let’s throw some numbers in here just so it becomes clear what we are asked for.
Let’s say the teacher hands out 12 notebooks that came in packs with 4 notebooks in each pack. If you are asked for the number of packs here you would see that it’s 3. That is 3 packs of 4 give 12.
So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.
The number of packs is m/c
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c