Answer:
9
Step-by-step explanation:
you take the L bud
jus go on the other side of the graph.
Answer:
The fith number is 80.
Step-by-step explanation:
A geometric sequence is a group of numbers that are related to it's neighbours by a product of a constant ratio. In order to calculate a certain number in such sequences we can use the formula:
an = a1*q^(n-1)
Where "n" is the position of the number we wish to know and q is the ratio. To use the formula we need to know the first number and we were given the third, so we first need to find that. We have:
a3 = a1*q^(3 - 1)
20 = a1*2^(2)
a1*4 = 20
a1 = 20/4 = 5
So the 5th number is:
a5 = a1*q^(5-1)
a5 = 5*2^(4)
a5 = 5*16 = 80
The fith number is 80.
The mistake made by student is 6x(3) = 18x
because 18x + 6x = (18+6) x = 24x
Answer:
16,460 gallons
Step-by-step explanation:
This is a differential equation problem, we have a constant flow of contaminant into the lake, but also we know that only a fraction of that quantity of contaminant remains because of the enzymes. For that reason, the differential equation of contaminant's flow into the lake would be:

Then, we have to integrate in order to find the equation for Q(t), as the quantity of contaminant in the lake, in function of time.

Now, we use the given conditions to replace them in the equation, in order to solve for

Then, we reorganize the equation and we replace t for 17 hours, in order to determine the quantity of contaminant at that time:
