Y = mx+c
m is the gradient and c is the y-intercept so
4 = m(4) + (-4)
4 = 4m - 4
4m = 8
m = 2
Ans: Y = 2x - 4
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:
22m
Step-by-step explanation:
The computation is shown below:
Since it is a right-triangular garden so we use the pythagoreus theorem
As we know that
The C^2 refers to the longest side of the right-triangular garden
So,
a^2 + b^2 = c^2
a^2 + 14^2 = 26^2
a^2 + 196 = 676
a^2 = 480
So a = 22m
Hence, the other side of the garden is 22m
I don’t even know what to say.
