Answer:
Step-by-step explanation:
First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept
EX:
y=x+1
find equation of line the is parallel and passes through (1, 1)
Same slope, so y=x+b
then plug in the point
1=1+b
b=0
our line would be y=x
Your answer is 8. 8 times 8 is 64.
Answer:
20 students
Step-by-step explanation:
You first have to add the number of students all up and you get 200.Then you do cross multiplication.
40/200 x s/100=
40x100= 4000=
200xs= 200s=
200s/200=
4000/200=
20=
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:
8v^2+24-48x^3
Distribute the -8 to each term to get your answer.
Hope I helped!
