Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
-2(x+14)+1=15
distribute
-2x - 14 + 1 = 15
add 14 to each side
-2x + 1 = 29
subtract one from each side
-2x = 28
divided by -2
x = -14
Answer:
40%
Step-by-step explanation:
you need to divide 80 by 8 to get 10 and then divide 32 by 8 aswell. this gives you 4/10 which is equivalent to 40/100 or 40%
A=lw A=370 l=6w-23
370=w(6w-23)
6w^2-23w=370
6w^2-23w-370
Works out to
(W-10) pick this one
+10
W=10
or
(6w+37) is not the answer to choose
-37
6w=-37
/6 /6
W=-6.17
A) 10
B) 10
C) 37
Answer:
Step-by-step explanation:
1 foot = 12 inches
length of board in inches = 8 ft × (12 in)/ft = 96 in
length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.
96 - 68 = 28 inches left
