When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b 109+105t-1042. Find the growth rates att 0 hours, t= 5 hours, and t 10 hours bacteria per hour. The growth rate at t 0 hours is

Q: The daily cost C (in dollars) for a manufacturer to produce z electronic video components is given…

A: given cost function is c(x) = 1000 . ln((2x^2-700)^1/3) here we have to calculate the change of cost…

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) 3t2 + 21t + 150.…

A: We are given the population function p(t)=3t2+21t+150 where t is measured in hours. Here, we need to…

Q: The number N of bacteria present in a culture at time t (in hours) obeys the model N(t) = 1000e0.01t…

A: Find out the time (in hours) when the bacteria reach 1700.

Q: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) =…

A:

Q: The doubling period of a bacterial population is 1515 minutes. At time t=120t=120 minutes, the…

A: The doubling period of a bacterial population is 15 minutes. Let the initial population be P0. Then…

Q: a

A:

Q: What are the perimeter of the square garden with an area f(x)=9x²-24 +16 square feet?

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The population p(t) of a bacteria culture is given by p(t) = -1200tˆ2 + 36000t + 70000, where t is…

A: Given equation of population p(t) of a bacteria culture is

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous velocity of the rocket at the instant when…

Q: Help The number of mosquitoes in a lake area after an insecticide spraying decreases at a rate of…

A: Given,

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: An object is propelled vertically upward with initial velocity of 20 meters per second. The distance…

A:

Q: After a new firm starts in​ business, it finds that its rate of profit​ (in hundreds of​ dollars)…

A: Given:  P'(t) = Rate of profit  P'(t) = 3t2+4t+9 To find:  profit in year 7.    Key Concept used:…

Q: 1. Consider a population of bacteria that grows according to the function P(t) = 700e0.85, where t…

A:

Q: A model rocket is launched straight up, with an initial velocity of 150 m/s. The height of the…

A: The maximum height is 1125 meters.

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 3t² + 27t +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A population of bacteria is growing according to the equation P(t) 1800e 0.09t. Estimate when the…

A: The population is given as a function of time. So put the population to get the answer.

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A:

Q: The population of a city is modeled by the equation P(t)=457,454e^0.25t where t is measured in…

A: function of population P(t) = 457454 e^0.25t P(t) = 1000000  t = ?

Q: If an object is dropped from a 192-foot-high building, its position (in feet above the ground) is…

A: Given data:   The height of the building is h=192 feet. The given expression for the position of the…

Q: An evergreen nursery usually sells a certain shrub after 8 years of growth and shaping. dh The…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 40e0.8t,…

A: Given that rate of growth of sales for a particular company is 40e0.8t  initial sale , s=300 , t=0To…

Q: a forest fire covers 2300 acres at time t=0 the fire is growing at a rate of 5 square root of t…

A: We have to integrate the growth rate with respect to timeA=2300+∫5t dtWe know that ∫xn dx=xn+1n+1…

Q: A company's revenue from selling z units of an item is given as R = 1700z – 3z?. If sales are…

A:

Q: A population of bacteria is growing according to the equation P(t) population will exceed 895. 400e0…

A: Given query is to find the time when population exceed 895.

Q: A toxin is introduced into a colony of bacteria, and t hours later, the population of the colony is…

A: Given that a toxin is introduced into a colony of bacteria and t hours later the population of the…

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous acceleration of the rocket at a height of 135…

Q: The number of bacteria in a culture is given by the function n(t) = 990e0.45t where t is measured in…

A:

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A:

Q: The population of a city is growing at a rate of 7.2% per year according to the formula P(t)=12000…

A: Given,  The population growth formulaP(t) =12000e0.072t and rate of growth r = 7.2%we have to find…

Q: A population of bacteria is growing according to the equation P(t) = 1550e0.11t , where t is the…

A: The time dependence of the population is given by: P(t) = 1,550e0.11t  We have to find t when P(t)…

Q: The doubling period of a bacterial population is 1515 minutes. At time t=90t=90 minutes, the…

A: Given: The doubling period of a bacterial population is 15 minute. At time t = 90 minutes, the…

Q: The length of a certain weed, in centimeters, after t weeks is f (t) = 6/.2 + 5e-0.5t.  How fast is…

A: DIfferentiation helps to find the rate of the function. Differentiation of the given function with…

Q: In 1914, a community had a set amount of land that was being converted for agricultural use. The…

A: P = The  fraction of land converted to agriculture land. Pt = 11+6e-0.19t t = time is years since…

Q: An object is propelled vertically upward with an initial velocity of 20 meters per second. The…

A: (a) To find: The time when the object is 15 meters above the ground. Given: The distance in meter is…

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Q: A cup of coffee is poured, and the temperature is measured t be 120 degrees Fahrenheit. The…

A: Given initial temperature of the coffee cup is 120 F

Q: A projectile is launched upwards from the roof of a building that is 64 feet high with an initial…

A:

Q: In the year​ 2000, the population of a small city was 47,000. The population grows at a rate of…

A:

Q: At the beginning of a snowstorm, Harper had 11 inches of snow on her lawn. The snow then began to…

A:

Q: The doubling period of a bacterial population is 1010 minutes. At time t=90t=90 minutes, the…

A:

Q: A population of bacteria is growing according to the equation P(t)=300e0.14tP(t)=300e0.14t. Estimate…

A: Given P(t) = 300 e^0.14t Given P(t) = 685 Now 685 = 300 e^0.14t         685/300 = e^0.14t…

Q: The doubling period of a baterial population is 1010 minutes. At time t=80t=80 minutes, the baterial…

A: Let the population equation will be: N(t) = N0ABt where N(t) is the population at any time t and N0…

Q: The size of a bacteria population found in some food grows by P (t) = 8000t 80 + t2 where t is…

A: Given: function for population of bacteria is Pt=8000t80+t2. where t is measured in weeks. To find:…

Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

Q: A population of bacteria is growing according to the equation P(t)=1300e0.14tP(t)=1300e0.14t.…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1950eº population will exceed…

A:

Q: The national catch of Atlantic Cod has been declining in the past few decades. We can model this…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.