The number of cells in a blue container doubles each day. The number of cells in a red container each day is shown in the table below. Day Number of Cells 50 75 100 4 125 150 6. 175 7. 200 A scientist creates functions to model the cell growth in both containers. Which statement about the functions is true?

Q: Teach how to come up with a function that gives the amount of samarium-153 that remains h hours…

A: Let P be the initial amount and let A be the amount remains after h hours

Q: A manufacturer models its weekly production of office chairs since 2001 by the function N(t)= 100+…

A: Given N(t)=100+25t, where N is the number of chair in time    Since workforce's of manufacturers is…

Q: A culture starts with 8600 bacteria. After 1 hour the count is 10,000.(a) Find a function that…

A:

Q: As coal deposits are depleted, it becomes necessary to strip-mine larger areas for each ton of coal.…

A: Answer is mentioned below

Q: Jack and Jill are starting a flower bed with 4 salvia plants. Research has indicated that the number…

A:

Q: Ir. Boyle's annual income can be modeled by the function f(x) = 750x+48500, where x is the number of…

A: Given: f(x)=750x+48500   where x the number of years since 2015

Q: 3.) The table shows projections for female population of a country in millions Year 2025 2045 2060…

A:

Q: The function below represents the earth's population in billions, where t is years since 1990: 41…

A:

Q: he function f(t)=1.4t + 17.2 can be used to estimate the yearly sales of tennis equipment, in…

A:

Q: The population of Country A, P(t), in millions, t years from 2021 may be predicted by this mula:…

A:

Q: After a company went public, the price of one share of its stock on the stock market fluctuated…

A:

Q: After a company went public, the price of one share of its stock on the stock market fluctuated…

A:

Q: Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit…

A: Please refer the attached image for complete solution.

Q: Can the size of a pack be represented as a function of its price? Price (dollars) Size (grams) 2.30…

A: A relation is said to be a function if each input has only one output.

Q: The Technology Center bought a fax machine for $625. The fax machine depreciates at a rate of $25 a…

A:

Q: After Jill took 400 mg of ibuprofen, the medicine in her system decreased by about 65% every hour.…

A: let 't' be time in hoursg(t) be the function which defines the amount of ibuprofen in jill's body

Q: Determine whether function whose values are given in the table below could be linear or exponential.…

A:

Q: The value of a car that depreciates over time can be modeled by the function…

A: H(t) = 14000×(0.8)×t + 3    Hence, this is to be converted to the form  H(t) = abt

Q: A helicopter is hovering at an altitude of 1, 450 feet above sea level. It descends at a constant…

A: Initial height of helicopter = 1450 ft  Given descending rate = 75 ft per minute  Let helicopter…

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

A:

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given,           The number of bachelor's degrees conferred has been increasing steadily in recent…

Q: Sam has 3,250 followers on social media. His number of followers is decreasing at a rate of 3% per…

A:

Q: The following graph shows the average American household debt h as a function of the date d. 140…

A:

Q: A typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19% is…

A: Given that a typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19%…

Q: The number of employees in a company declined approximately 10% every year for 10 years. The…

A: Given the table is

Q: If you bought a cell phone for $350 and it lost 25% of its value every year, which of the following…

A:

Q: A certain tax policy states that the first $65,000 of income is taxed at 7.25% and any income above…

A:

Q: A chart from Dick's Sporting Goods gives the recommended bat length B in inches for a man weighing…

A: Consider the following table. h=heightB=Bat…

Q: 3. The population of Nigeria can be approximated by the function P(1)=130.5-(1.024)' where r is the…

A:

Q: The life expectancy at birth of both sexes in a particular year can be described by the function…

A: NOTE: Refresh your page if you can't see any equations. . where x= number of years after 1900

Q: Objective: To investigate the trends in the value of different functions as x approaches. Given:…

A: let us consider the function f(x)=x-3,  x2-9,  1x-3,  x2-9x-3,   x2-4x+3x-3

Q: Which of the following best describes the type of function based upon the given table of values?…

A: The correct option is option B. Consider the given values in the table. The value for f(x) is -2 for…

Q: 2. The air pressure decreases as we rise in altitude and increases as we decrease in altitude. The…

A: We know that , domain of the function is just input value of the function , or the domain of a graph…

Q: A culture starts with 8000 bacteria. After 1 hour the count is 10,000. Find a function that models…

A: we know that P(t)=P0ektwhere P(t) is population at time tP0= population at initial,k = growth…

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

A:

Q: A bacteria colony initially has 4000 cells and triples every week. A function that can be used to…

A: Concept: We have to solve given problem:

Q: The following table lists the fine a driver must pay when he or she (mph) 55 60 65 70 75 Fine 575…

A: FOR THE GIVEN TABLE

Q: Andy buys a new car for $23,540. He estimates that the car will decrease in value by about 5% each…

A: To find:  Depreciation Model of the car price.   Formula used. P    = Present Value r      = rate of…

Q: I need help being walked through the logistic growth problem that is in the image attached please :)

A:

Q: The following functions give the total cost of owning different cars as a function of the number of…

A:

Q: Look at the function below. y 6 -4 3. 2 1 -6 5 -4 -3 2 -1 0 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5- What is…

A:

Q: 10 20 30 40 y o 27.5 38.9 47.7 55 Write a function that models the data. Round the coefficient to…

A: I have assumed the general form of the function and the by given model i have find the constant

Q: ndy buys a new car for $23, 540.  He estimates that the car will decrease in value by about 5% each…

A: Andy buys a new car for $23, 540.  He estimates that the car will decrease in value by about 5% each…

Q: A helicopter is hovering at an altitude of 1, 450 feet above sea level. It descends at a constant…

A:

Q: The following table!? shows the U.S. gross domestic product (GDP) G, in trillions of dollars, as a…

A: given t= year 2004 2010 2014 GDP 11.87 14.66 17.42 (a) explain in practical terms what G2004…

Q: The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate…

A: We are given that the population of Chile was approximately 16.9 million in the year 2011, with an…

Q: Encouraged by the popularity of your Dungeons and Dragons website, www.mudbeast.net, you have…

A:

Q: The following table shows the U.S. gross domestic product (GDP) G, in trillions of dollars, as a…

A: Given: The U.S. gross domestic product (GDP) G, in trillions of dollars, as a function of the year…

Q: Which of the following best describes the type of function based upon the given table of values?…

A: After plotting this points, it's graph look like downward parabola.

Q: . At a college, records show that the average person's grade point average, G(h), is a function of…

A: Here we need to understand the terminologies used here and their actual meaning.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.