Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
Answer:
C. Graph A, Set A
Step-by-step explanation:
(I took the test)
Your X axis is the age of players and the Y axis is the scoring average.
Answer:
The value of x in the 2nd quadrant is always negative.
Step-by-step explanation:
There form four zones in the coordinate plane by placing the coordinate axes i.e. X-axis and Y-axis. The top right zone is called the 1st quadrant and 2nd, 3rd and 4th quadrants are the zones obtained by rotating in anticlockwise about the origin.
Since the 2nd quadrant is placed at the top left zone, so, we have to move in the negative x-direction along or parallel to the X-axis and to move in the positive y-direction along or parallel to the Y-axis.
Therefore, the value of x in the 2nd quadrant is always negative.
(Answer)
Answer:
D or y-25=2(x-10)
Step-by-step explanation:
If you graph all or the answers the only one that hits both points is D.
