Homework Answers
Add Answer to:
Modeling Exponential Growth and Decay A research student is working with a culture of bacteria that...
Modeling Exponential Growth and Decay A biologist recorded a count of 360 bacteria present in a...
Modeling Exponential Growth and Decay A biologist recorded a count of 360 bacteria present in a culture after 7 minutes and 1200 bacteria present after 20 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around bacteria. b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) = c. To the nearest minute, how long did it take the population to double? The doubling time of...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in a culture after 5 minutes and 1050 bacteria present after 28 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around 219 bacteria b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) 10e 30t c. To the nearest minute, how long did it take the population to double? The...
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After...
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After 250 minutes, the sample has decayed to 34 grams. a. Rounding to four decimal places, write an exponential equation, R(t) = Aekt, representing this situation, using the variablet for minutes. R(O) = b. To the nearest minute, what is the half-life of this substance? The half-life is approximately minutes.
A biologist recorded a count of 340 bacteria present in a culture after 9 minutes and...
A biologist recorded a count of 340 bacteria present in a culture after 9 minutes and 950 bacteria present after 22 minutes. A. To the nearest whole number, what was the initial population in the culture? B. Round to four decimal places, write an exponential equation representing this situation. C. To the nearest minute, how long did it take the population to double?
This exercise uses the population growth model. The count in a culture of bacteria was 400...
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
A bacteria culture starts with 260 bacteria and grows at an exponential rate. After 3 hours...
A bacteria culture starts with 260 bacteria and grows at an exponential rate. After 3 hours there will be 780 bacteria. Give your answer accurate to at least 4 decimal places. (a) Express the population after thours as a function of t. P(t)- Preview (b) What will be the population after 7 hours? Preview bacteria ( How long will it take for the population to reach 28707 Preview hours Determine an algebraic expression for the function graphed below. Write your...
The number of bacteria in a culture is given by the function n(t) = 960e. where...
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
2. The growth rate of a population of bacteria is directly proportional to the population p()...
2. The growth rate of a population of bacteria is directly proportional to the population p() (measured in millions) at time t (measured in hours). (a) Model this situation using a differential equation. (b) Find the general solution to the differential equation (c) If the number of bacteria in the culture grew from p(0) = 200 to p(24) = 800 in 24 hours, what was the population after the first 12 hours?
This exercise uses the population growth model. A culture starts with 8700 bacteria. After 1 hour the count is 10,000.
This exercise uses the population growth model. A culture starts with 8700 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after thours. (b) Find the number of bacteria after 2 hours. (c) After how many hours will the number of bacteria double?
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour...
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) n(t) = (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (C) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr
Modeling Exponential Growth and Decay A biologist recorded a count of 360 bacteria present in a culture after 7 minutes and 1200 bacteria present after 20 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around bacteria. b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) = c. To the nearest minute, how long did it take the population to double? The doubling time of...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in a culture after 5 minutes and 1050 bacteria present after 28 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around 219 bacteria b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) 10e 30t c. To the nearest minute, how long did it take the population to double? The...
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After 250 minutes, the sample has decayed to 34 grams. a. Rounding to four decimal places, write an exponential equation, R(t) = Aekt, representing this situation, using the variablet for minutes. R(O) = b. To the nearest minute, what is the half-life of this substance? The half-life is approximately minutes.
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
A bacteria culture starts with 260 bacteria and grows at an exponential rate. After 3 hours there will be 780 bacteria. Give your answer accurate to at least 4 decimal places. (a) Express the population after thours as a function of t. P(t)- Preview (b) What will be the population after 7 hours? Preview bacteria ( How long will it take for the population to reach 28707 Preview hours Determine an algebraic expression for the function graphed below. Write your...
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
2. The growth rate of a population of bacteria is directly proportional to the population p() (measured in millions) at time t (measured in hours). (a) Model this situation using a differential equation. (b) Find the general solution to the differential equation (c) If the number of bacteria in the culture grew from p(0) = 200 to p(24) = 800 in 24 hours, what was the population after the first 12 hours?
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) n(t) = (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (C) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr
Most questions answered within 3 hours.
-
While rotating the tires on your car you notice a rock [mass =
0.1 Kg] stuck...
asked 16 minutes ago -
Using MARS simulator, write MIPS programs according to
the following scenarios: Receive a positive integer number...
asked 2 hours ago -
An object in front of a concave mirror has a real image that is
11.5 cm...
asked 2 hours ago -
Consider the reaction, C3 H8 + O2 --> CO2 + H2O. How many
moles of O2...
asked 4 hours ago -
You and your opponent both roll a fair die. If you both roll the
same number,...
asked 4 hours ago -
In a study of the accuracy of fast food drive-through orders,
Restaurant A had 257 accurate...
asked 4 hours ago -
Identify and describe in detail the four categories of
institutions that could be included in a...
asked 4 hours ago -
In python
class Customer:
def __init__(self, customer_id, last_name, first_name, phone_number, address):
self._customer_id = int(customer_id)
self._last_name =...
asked 4 hours ago -
What is an example of a limitation in implementing a new
ERP system and how it...
asked 4 hours ago -
In a section of 9.7cm of an artery with a radius of 2.6mm there
is a...
asked 4 hours ago -
the two carboxylic acid groups of aspartic acid have different
acidities with pKa values of 2.1...
asked 4 hours ago -
Would CuCO3 aqueous salt combined with calcium chloride
form a solid precipitate? If so, what would...
asked 4 hours ago