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:
a.
R-------8/38--------RR
R------9/39--------B-------13/38-------RB
G------17/38--------RG
R-------9/38--------BR
B--------13/39------B-------12/38-------BB
G-------17/38-------BG
R-----9/38--------GR
G---------17/39-------B------13/38-------GB
G------16/38-------GG
b).
- 9 ways
- ways you can select 1 blue are; RB,BR,BG,GB
RB=9/39 × 13/38=3/38
BR= 13/39 × 9/38 =3/38
BG= 13/39 × 17/38=17/114
GB= 17/39 × 13/38=17/114
=3/38 +3/38+17/114+ 17/114 =26/57
- Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247
- Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494
4/25 is already simplified
Answer:
3 x 4 = 12
4 x 5 = 20
5 x 2 = 10
Step-by-step explanation:
3 + 3 + 3 + 3 = 12
3 four times equals 12
This is the same for the others
4 + 4 + 4 + 4 + 4 = 20
Four 5 times equals 20
<u>Answer</u>:
18 clips for $7.38 is the best value deal.
<u>Step-by-step explanation:</u>
An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.
To find the best value for money we can check the price of each paperclip.
To check the price of each paper clip we can use the following formula:
Now we can calculate the best value deal as follows:
So, from looking at the prices of each paperclip we can conclude that the 18 clips for $7.38 is the best value deal.
