Answer:
2.4
Step-by-step explanation:
similar triangles
Therefore
4/CD = 5/3
CD= 12/5
Answer:
I think its 68 + 1 = 69
Step-by-step explanation:
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
169 if you take 13 times 3 you get 39. And 10 times 13 is 130. Add those together and you gat 169
Answer:
64
Step-by-step explanation:
first, we'll start with the value inside the parenthesis, which is 2³
2³ means to multiply 2 by itself 3 times
so it would be
2×2×2=8
which then means that the expression is now (8)²
now we need to do (8)², which is to multiply 8 by itself twice
8*8=64
hope this helps!
