Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
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
Hi there!
So first off, here are little definitions you need to know in order to be able to answer your question :
<u>Constant</u> means that the rates of change are the same.
<u>Variable</u> means that the rates of change are different.
But from what I can see, you don't even need those definitions because you got both answers right!
Continue your great work! If there's anything just let me know! :)
1,000 because kilometers is 1,000 is how many is for 2 but for one it's 500
Answer:
3
Step-by-step explanation:
the initial statement is
y
∝
1
/x
to convert to an equation multiply by k the constant
of variation
y
=
k
×
1
/x
=
k
/x
to find k use the given condition
y
=
5 when x
=
6
y
=
k/
x
⇒
k
=
y
x
=
5
×
6
=
30
y
=
30
/x
when
x
=
10
then
y
=
30
/10
=
3
