Slope of 3 and passes through (-2,-9) please helpppp. :(
1 answer:
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Answer:
y=25600
y=100(2)^{2t}
y=252
Step-by-step explanation:
A bacteria culture starts with 100 bacteria and doubles in size every half hour.
where x represents the number of hours
(a) t= 4 hours
Plug in 4 for t and find out the number of bacteria y
25600 bacteria
convert 40 seconds into hour
40 divide by 60 =2/3
The graph is attached below
Answer:
a. 1 263 888
b. 130 701
c. 72 years
Step-by-step explanation:
a. The differential equation applies here.
Let the quantity increase for a certain time be given by Q(t)
Every unity of time, the quantity increases by so that after the time t, the quantity remaining will be given by:
In a similar manner, the quantity R(t) decreases at a rate given by the following expression:
and after the time , t the quantity of R remaining will be given by:
a. To find the population of humans in 1953
1993 - 1953 = 40 years = t
Q(40) = Q×
Q = 1 263 888.44
≈ 1 263 888
b. For bear population in 1993:
t = 40
R(40) =
b = 130 700. 889
≈130 701
c. time taken for black bear population number less than 100 is given by:
130 = 11000×
solving using natural logarithms gives t = 72.72666
= 72 years Ans