Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
Answer:
Look below!
Step-by-step explanation:
1.
1A (fraction): 1/6
1B (decimal): 0.16 (6 continues)
1C (percent): 16.66 (6 continues)
2.
5+15+7+8+10+15=60
10/60 time she got 5
1/6 chance she gets a 5 again
2A (fraction): 1/6
2B (decimal): 0.16 (6 continues)
2C (percent): 16.66 (6 continues)
3.
Yellow: 3/10 chance
Red: 1/5 chance
Blue: 2/5 chance
Pink: 0/20 chance
You're welcome in advance.
Miles in 2 hours = 22
Rate of distance = 22/2
= 11 miles/hour
So miles in h hours = 11h
Miles in 4 hours = 11 * 4
= 44 miles
Answer is
11h , 44 miles
Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
