Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
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Answer:
Step-by-step explanation:
For species A,
For species B,
When their populations are equal,
The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
F(g(-1))
g(-1) = 3(-1) = -3
f(-3) = 2(-3) -1 = -6 -1 = -7
The correct answer would be C
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