Given:
second term = 18
fifth term = 144
The nth term of a geometric sequence is:
Hence, we have:
Divide the expression for the fifth term by the expression for the second term:
Substituting the value of r into any of the expression:
Hence, the explicit rule for the sequence is:
Answer:
All of the above
Step-by-step explanation:
dy/dt = y/3 (18 − y)
0 = y/3 (18 − y)
y = 0 or 18
d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)
d²y/dt² = dy/dt (-y/3 + 6 − y/3)
d²y/dt² = dy/dt (6 − 2y/3)
d²y/dt² = y/3 (18 − y) (6 − 2y/3)
0 = y/3 (18 − y) (6 − 2y/3)
y = 0, 9, 18
y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.
y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.
Answer:
7.2 minutes
Step-by-step explanation:
The formula to find the time using the radioactive decay rate formula is given as:
t = t½ × In(Nt/No)/-In2
Where
t½ = half life = 6 minutes
No = Initial Amount = 260 grams
Nt = Amount after decay
= 113 grams
Hence:
t = 6 × In(113/260)/-In2
t = 7.2131331036796 minutes
Approximately = 7.2 minutes
Answer:
h=v/πr²
Step-by-step explanation:
v=πr²h
v/π=r²h
v/πr²=h
Step-by-step explanation:
4+7=11
11+(7+4)=22
22+(7+8)=37
Every step 7+4n you must add
