MATHEMATICS HIGH SCHOOL

Biologists are treating a lake contaminated with bacteria. The level of contamination is changing at a rate of dN/dt=-1110/t² -230 bacteria percubic centimeter per day, where is the number of days since treatment began. Find a function N(t) to estimate the level of contamination if the
level after I day was 5380 bacteria per cubic centimeter.

Answers

Answer 1
Answer:

Answer: the function N(t) to estimate the level of contamination in the lake is:

N(t) = -1110 ln(t) - 230t + 1110 ln(I) + 230I + 5380

Step-by-step explanation: ∫ dN/dt dt = ∫ (-1110/t² -230) dt

N(t) = -1110 ln(t) - 230t + C  

N(I) = -1110 ln(I) - 230I + C = 5380

C = 1110 ln(I) + 230I + 5380

Related Questions

The annual interest rate of marcellas savings account is 7.2% and simple interest is calculated semianually,. What is the periodic interest rate of her account
The local gym is advertising a special for new members: $10 to join and only $14.50 per month for the first year. If Salim joins the gym for one year, how much will he spend on membership?
A worker’s earnings e(n) for n hours when the worker’s hourly wage is $8.25
Find the length of a rectangular lot with a perimeter of 140 meters if the length is 4 meters more than the width. (P = 2L + 2W)
Factor the trinomial, 14c³-33c²+18c= ______ (factor completely)

Fatimah and four other women threw javelins in a competition.The distances, in metres, of the four other women are shown.
15.2
15.9
16.8
16.1
The mean distance for all five women was 16.04 metres.
Did Fatimah throw the javelin the furthest?
You must show your working.

Yes or no

Answers

Answer:

Hi,

NO

Step-by-step explanation:

sum of all distances=16.04*5=80.2

sum of the four distances=15.2+15.9+16.8+16.1=64

Fatimah 's distance=80.2-64=16.2

Fatimah throw the javelin not the furthest.

Hurry im timed
will give brainlyst

Answers

Answer:

B = 13.75

Step-by-step explanation:

Pls help me my homework is due tomorrow lol

Answers