In this problem it just goes left to right, 1-18+25 = -17+25 = 8
(1-18)+25-17+25=8<span>
</span>When you do addition and subtraction they are reversible so you just go left to right
Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
Answer:
ll
Step-by-step explanation:
ll
Answer:
B.
Step-by-step explanation:
Given,
The time for set up the game =
minutes,
Also, the time for each level of game is
minutes,
If there are l levels of games,
Then the time taken in all levels of game =
<em>
</em>
Hence, the total time ( in minutes ) = Set up time + time in all level
=
We have 60-minute of free trial of the game,
So, the total time taken can not be exceed to 60 minutes,
= 
Which is the required inequality.
Option 'B' is correct.
Answer:
9pi
Step-by-step explanation:
circumference= 2 (pi) (r)
radius = diameter \ 2
r = 9 \ 2 = 4.5in.
c = 2 (pi) (4.5)
c = 9pi or 28.3in.
Hope this helps!