<span>Assuming the reaction is of 1st order, we can
start using the formula for rate of 1st order reaction:</span>
dN / dt = k * N
Rearranging,
dN / N = k dt
Where N = amount of sample, k = rate constant, t = time
Integrating the equation from N = Ni to Nf and t = ti to
tf will result in:
ln (Nf / Ni) = k (tf – ti)
Since k is constant, we can equate to situations.
Situation 1 is triple in size every days, situation 2 is after 20 days.
ln (Nf / Ni) / (tf – ti) = k
ln (3Ni / Ni) / 4 = ln (Nf / 40) / 20
Calculating for Nf,
<span>Nf =
9,720 bacteria </span>
<span>0.04285714285 this is your answer </span>
The slope is -2 because y = mx + b
y-y₁ = m (x-x₁)
y - 3 = -2 (x-0)
y - 3 = -2x
y = -2x + 3
The answer is 30 because 5×6=30 and 6×5=30.So the smallest number of books each could have shelved is 30 books...
The answer is plane because it is a two dimensional figure
