dmurdock1973
24.07.2020 •
Mathematics
Grey’s Labs is testing a new growth inhibitor for a certain type of bacteria. The bacteria naturally grows exponentially at a rate of 4.7% each hour. The lab technicians know that the growth inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. The current sample contains 90 bacteria. Once a standard tube contains more than 270 bacteria, the sample will stop growing. So, to analyze the effect of the inhibitor over longer spans of time, the lab technicians move the bacteria to larger containers, essentially increasing the container size at a constant rate. This adaptation accommodates 100 more bacteria each hour. The research team wants to track the number of bacteria over time given these two conditions. Select the two inequalities they can use to model this situation.
P ≥ 90e^(0.047t)
P ≤ 270 + 100t
P ≤ 270 – 100t
P ≤ 0.047e^(90t)
P ≤ 90e^(0.047t)
Solved
Show answers
More tips
- W Work and Career Where can you learn to be a flight attendant?...
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics What is the exact number of pi or equation...
- M Mathematics May someone answer this please...
- M Mathematics Make sure to write No Solution exactly how it looks: No Solution 1. √x+2 = 5 x =...
- M Mathematics Barney has 20 feet of lumber that he is going to cut into 4 equal pieces for a border on his garden. Which of the following is true? OA. Each piece of lumber is 16 feet...
- M Mathematics Drag fruit to represent each total weight shown....
- M Mathematics Nora and Rachel were the fastest two swimmers at the swim meet .Nora finishing time was 25.04 and Rachel’s was 25.4 .Nora was so happy .She believed she had tied with...
- M Mathematics SOMEONE PLEASE HELP ME I BEG IF YOU I WILL EVEN NAME MY CHILDREN AFTER YOUUU...
- M Mathematics HELP ASAP PLS I GIVE BRAINLIEST...
- M Mathematics Use substitution to match this solution to their equation (12, 2, 3, 21) 18 / a = 6 c / 4 = 3 24 / b = 12 d / 7 = 3 a: b: c: d:...
- M Mathematics HELP ASAP PL Ms. Phelps is playing fetch with her dog Bailey. She throws the ball into the air at an initial velocity of 11 feet per second.The height h, in feet, after...
Ответ:
The two inequalities are;
P ≤ 90e^(0.047t)
P ≤ 270 + 100·t
Step-by-step explanation:
The parameters given for the testing of the new growth inhibitor are;
The growth rate of the bacteria = 4.7% exponentially
The growth inhibitor lowers the growth rate
The population of bacteria after time, t = P
The increase in the number of bacteria per unit time in the 100
The maximum number of bacteria in the standard tube = 270
Therefore, the number of bacteria after the first filling of the tube is P ≤ 270 + 100·t
The equation for exponential growth is
Where:
A₀ = Initial population = 90
k = Percentage growth rate as percentage
t = Time
The equation for the population of bacteria under the influence of the inhibitor is therefore;
P ≤
which is P ≤ 90e^(0.047t).
Ответ:
1/2 is correct.
Step-by-step explanation:
There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.
Hope this helps!