The number N of bacteria, in grams, present at time t (in hours) obeys the law of uninhibited growth N(O) =1000e^0.027t. Answer parts a, c, d, and e in complete sentences. a. What is the initial population of bacteria present? b. Are you growing or shrinking bacteria? Circle one.

Q: A cleaning service company found that the operating costs increase at a rate of 24x - 10x thousand…

A:

Q: fino plYZ11?

A:

Q: On May 12, a fast-growing species of algae is accidentally introduced to a pond in an urban park.…

A: The given data is: On May 12, a fast-growing species of algae are accidentally introduced to a pond…

Q: During the start of the COVID-19 pandemic it is assumed that the rate of spread of the corona virus…

A: Aim: To calculate the corona-infected people after 30 days using simple logistic growth model. Given…

Q: A large tank initially filled with 150 gal of fluid contains 10 lb of dissolved solute. Another…

A: Please check step 2 for the solution.!

Q: Compute the value of X in Table 2.  ii) Estimate mass that dissolved in the water if the…

A: Given data: Temperature C0 10 15 20 25 30 35 40 50 70 Mass (kg) 1.6 2.2 2.4 2.7 3.5 4.0 5.1 7.0…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4379 per…

A:

Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that…

Q: A tank contains 80 gallons (gal) of pure water. A brine solution with 2lb/gal of salt enters at 2…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: A population of the yeast cell Saccharomyces cerevisiae (a yeast used for fermentation) developswith…

A: The growth rate formula is  P(t)=P(0)ekt where P(t) is the population at time t, P(0) is the initial…

Q: An experimental forest is to be grown by planting 3000 trees each year on the same day of the year.…

A: Let i = number of years = 0, 1, ... , 10 and the number of trees planting in the starting of each…

Q: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the…

A: Given: dQdt=-rQ for Q is the amount present at time t. 100 mg reduce to 82.04 mg in 1 week, the…

Q: 46. An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

A: Here it is given that;  The length of the rectangle is twice as long as it is wide.  Let the width…

Q: When treating cancer, it is an advantage to know the rate of growth of the cancer tumor. A…

A: Since the tumor is spherical, its volume is given by, V=43πR3 Substitute diameter D=2R in the above…

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

Q: Calculate using L'HOSPITAL'S RULE

A: The given limit is limx→0x-arcsinxx3. Evaluate the limit as follows.…

Q: the e to ential.

A:

Q: Effective half-life is the time required for a radioactive isotope contained in a body to reduce its…

A: we simply apply effective time formula and find out what we need.

Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: . A mass of 1 kg is attached to the end of a spring whose restoring force is 180 The mass is in a…

A:

Q: The volume of a cube decreases at a rate of 13 m³/sec. Find the rate at which the side of the cube…

A:

Q: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…

A: Given: The initial volume of fresh water in the tank is 15 L. This means the initial concentration…

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: A certain quantity Q has an intial value of 80 and grows at a rate of 7% per month.  Give an…

A:

Q: An isotope has a half-life of 106 years. How much of a 45-gram sample is left after 200 y The…

A:

Q: Deniz's computer is infected with a virus that will erase information from her hard drive. It will…

A: Solved below

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: 1. givendrdt=0.1 cm/minr=8 cmdvdt=?volume of sphere (v)=43πr3diffrentiate with respect to…

Q: How many units of distance has an ant walked from point A (0,1) to point B (ln5,135) along the y =…

A: The equation of the curve: y(x)=ex+e-x2y'(x)=ex-e-x2

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: we have to determine time before the region is again habitable

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4393 per…

A: Population Growth of yeast cell: P(t)= Poeλt

Q: In a study of a marine tubeworm, scientists developed a model for the time T (measured in years)…

A: Consider the provided question, The time required for the tube worm to reach a length L is given by,…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A: Given: Half life of Radim -225 =1590 a sample of 400mg how much of radium is left after 3000y

Q: The half-life of a radioactive substance is 4 days. Determine the time that must pass until there is…

A:

Q: lodine-131 is a radioactive that has a pretty short half life of only 8 days. A sample of lodine 131…

A: Radioactivity equation:                                A = Aoe-λt                      Where, Ao is…

Q: Carbon taken from a purported relic of the time of Christ contained 4.6*10^10 atoms of 14C per gram.…

A:

Q: Šolve. In(-x + 1) – In(3x + 5) = ln(-6x + 1)

A: To solveln-x+1-ln3x+5=ln-6x+1

Q: valuate the integ

A:

Q: On a aquarium that contains 5L of water of which 2kg of soil has been dissolved completely is to be…

A:

Q: Simpson's rule to calculate approximately the

A: simpson's rule,

Q: The Worldometers website (www.worldometers.info.) estimates that as of July 2015, the Philippine…

A: Use the information given in the model to find the equation. It is given that the population changes…

Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day.…

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per…

Q: A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the…

A:

Q: A leaky 10-kg bucket is lifted from the ground to a height of 12m at a constant speed with a rope…

A:

Q: A population of protozoa develops with a constant relativegrowth rate of 0.7944 per member per day.…

A: Given data: A population of protozoa develops with a constant relative growth rate of 0.7944 per…

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: Device 2 is capable of detecting seismic changes up to a distance of 1.4 times that of device 1.…

A: In this we have to do the given instructions and approximate the value to the nearest 100,000 and…

Q: The rate of conversion of a certain substance is proportional to the square root of the amount m of…

A: We need to find time.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.