<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>
Evaluate- (x - 1) (3x² + x - 6)
______________
x + 1
Expand- 3x³- 2x² - 7x + 6
_____________
x + 1
Factor- (x -1) (x - ✔73 -1 ) (x - ✔73 - 1)
_____ ______
6 6
_________________________
x + 1
Answer:
Length
Step-by-step explanation:
According to the Webster's Ninth Collegiate Dictionary, length means "the longer or longest dimension of an object." So the length of a rectangle is the longest side whether it is vertical or horizontal.
Answer:
189.27
Step-by-step explanation:
rounded front part has a diameter of 10
that means it has a radius of 5
rounded part's area is area of a cirlcle ÷ 2
area of a circle is pi * radius squared
pi*25=78.54
78.54÷2=39.27
rest of the shapes area is 10 times 15 which = 150
150+39.27=189.27
Answer:
I will stick to CCW 216 degrees
Step-by-step explanation:
That pentagon has 5 shape and has the same distance with each angle, so rotate one point to another closest point need 72 degrees (360/5 = 72). When
A rotate to C, it need to rotate 144 degrees for CW and 216 degrees for CCW.