A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 925.   (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.)   (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.)

Q: Pure water has a pH value of 7.0. How many times more acidic is milk, with a pH value of 6.4, than…

A: Given that:      pH value of Pure water = 7.0      pH value of Milk            = 6.4

Q: When a certain bacteria is treated with penicillin, the number of bacteria decreases by 1/2 each…

A:

Q: Thorium-228 is a radioactive substance that decays 50% every 1.9 years. How much of a 50 gram sample…

A: Given query is to find the amount remaining after 22.8 years.

Q: A country has a population of around 100 million people. It is estimated that the population will…

A: Given that , y=abt and a=100 find the value of b.

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: An endangered species has a population of 1,000,000 alive right now. This is only 0.3% of its peak…

A:

Q: A wolf population is growing at a rate of 9.3% per year. Find the time at which the wolf population…

A:

Q: How many times more severe is the earthquake ​(R=8.3​) in city A than the earthquake ​(R=6.5​) in…

A: We know that if R is the magnitude of earth quake, I the intensity of the earth quake and I0 is the…

Q: If the energy of radiation emitted by an excited hydrogen atom when it returns to its ground state…

A: Since electron makes a transition from second excited state, n=3 to ground state n=1 So number of…

Q: Bellville is growing at 1.8%.  How many years will it take for Bellville to double its living…

A: Let, the current standard of Bellville is P The growth rate is 1.8% Let after t years, the living…

Q: Is use beats per minu

A: Given : THR=RHR+0.5(MHR-RHR) To find : THR when RHR=48

Q: hours, 4 inches of snow has fallen. If it continues to snow at the same rate,how many inches of snow

A: Snow is falling steadily in Syracuse, New York.  After 2 hours, 4 inches of snow has fallen. It…

Q: A certain forest covers an area of 4100 km. Suppose that each year this area decreases by 7%. What…

A: Here given, A certain forest covers an area of 4100 km. Suppose that each year this area decreases…

Q: The population of bacterla In a culture grows at a rate proportional to the number of bacterla…

A:

Q: Give a formula for the concentration C of lead in a pond t years after being polluted by a factory,…

A:

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.