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Eduardwww [97]
3 years ago
12

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

he population four hours later. (Round your answer to the nearest whole number.)
Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

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cestrela7 [59]

The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

<u>Explanation:</u>

We need to find the time at which the ball will be at height 19 feet.

Equation:

h = 3 + 34t - 16t²

19 = 3 + 34t - 16t²

16 = -16t² + 34t

-16t² + 34t - 16 = 0

On solving the equation, we get

t1 = 0.7 s and t2 = 1.42s

Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.

4 0
3 years ago
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Kay [80]
512=2w^2 is the best answer
6 0
3 years ago
Read 2 more answers
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laiz [17]
K= 13t-2
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K=24
6 0
3 years ago
A large university accepts 60​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,
kykrilka [37]

Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = .6 * 30000 = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = .4 * 18000 = 7,200

The number of students that actually enroll is 7,200.

Alternatively, .6 * 30000 * .4 would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.

3 0
3 years ago
Plz help 2-5!!! its already missing I WILL GIVE BRAINLIST!!!!!!!
lisabon 2012 [21]

Answer:

#2: 26   #3:  68  #4) 19   #5) 23

Step-by-step explanation:

#2) So, 208 divided by 8 = 26

#3)  92 - 24 = 68

#4)   76(.75) = 57, 76-57 = 19

#5)   31 - 8 = 23

Hope i helped.

7 0
2 years ago
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