32. An experiment starts and the population of a bacteria culture increases by 10% in the first hour. Assume that the population increases at a rate proportional to the amount of bacteria. a) What is the doubling time?

Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

Q: 4. A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

A:

Q: 4. If the population of a country doubles in 50 years, in how many years will it triple under the…

A: Solve the given for the timing of triple population

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: A new type of vehicle tires is released on the market with a rate of tire cracking: on average one…

A: Given information: Average number of cracks every 2000 km = 1  Average number of cracks every 500 km…

Q: A machinery depreciated by 40% in the first year, 25 per cent in the second and 10% p.a. during the…

A:

Q: The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence the…

A: Given, The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence…

Q: 1. The half life of a substance is 250 years. After 1000 years what percentage of the substance…

A: As per our guidelines we are supposed to answer one question only, kindly repost the remaining…

Q: 32. Estimate the annual premium payable at the age of 28 years from the ollowing data: Age (years)…

A:

Q: The average depreciation in value of a new car is 20%at the end of the first year. The depreciation…

A:

Q: A particular type of mold is growing 9.7% per hour.  Assuming that mold growth continues at this…

A:

Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: Suppose the population of a city has been growing at a rate of 2.5% per year for each of the last 8…

A:

Q: Ask The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A:

Q: 9. When a particular plate of metal is heated in an oven, its radius increases at the rate of…

A:

Q: A town wishes to plan a new hospital to meet the needs for 20 years and hence desires an estimates…

A: From the given information, it is observed that P0=10,000, t=20 years and r=3%, that is, r= 0.03.…

Q: A test for bladder cancer costs $100. If given to 1,000 individuals, it will reduce medical costs by…

A: Here the test for bladder cancer costs is $100

Q: A small metal bar, whose initial temperature is 25°C is dropped into a large container of boiling…

A: The objective of the question find the temperature of the metal bar after 3 minutes.

Q: 2. The popu lation of certain country is known to increase as a rate proportional to the number of…

A:

Q: What rate is required to grow 750 to 7500 in 14 years?

A:

Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: Potassium-40, with a half-life of 1.25 billion years, has been used by geochronologists trying to…

A: Let 't' be the number of yearsLet 'x(t)' be the…

Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

A:

Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Hello! I need help with this particular question on my study guide. There is an attachment below.…

A: Here we use half-life to calculate the exponential decay:

Q: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…

A: Follow the procedure given below.

Q: 4. If the temperature on the third day of the month is 50 degrees Celsius and 30 degrees by the 13th…

A: Given the temperature on the third day is 50 degrees Celsius and the temperature on the 13th day is…

Q: 2) A person is standing 350 feet away from a model rocket that is fired straight up into the air at…

A:

Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: 17. If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is…

A: Given: The radius of the sphere is increasing at the constant rate of 3 inches per second. To find:…

Q: 8. The population of Kalibo, doubled in the last 20 years, 1997 to 2017. Assuming the rate of…

A:

Q: 8. If the temperature on the fourth day of the month is 70 degrees Fahrenheit and 62 degrees by the…

A:

Q: 1.) A pine tree measured 40 ½ feet tall. Over the next 7 ½ years, it grew to a height of 57 feet.…

A: Growth rate is obtained by increase in the height divided by time taken for the amount of change.

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

A:

Q: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

A:

Q: a certain radioactive material is known to decay at a rate proportional to the amount present. if…

A:

Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

A: Given: Let the total number of student is 300 in the campus.

Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: 1. The population of a certain country has grown at a rate proportional to the number of people in…

A:

Q: The number of germs in a certain culture increases at a rate proportionai to the number present. If…

A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

A:

Q: 2. Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years…

A:

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A:

Q: 2. The number of transistors in a chip produced by Intel has been known to increase at a rate…

A: Let the number of transistors at time t is:  y(t)

Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

Q: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A:

Q: 4. A lizard accelerates from 2 m/s to 10 m/s in 4 seconds. What is the lizard's average…

A: Given: a) A lizard accelerates from 2 m/s to 10m/s in 4 seconds. What is lizards average…

Q: 19. A male worker performs physical labor that has an energy expenditure rate of 8.2 kcal/min for 30…

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.