A certain bacteria culture is observed to double its amount after 150 minutes it was initially observed. Predict how many more minutes the bacteria culture will double more its amount if the rate of growth of the culture is proportional to the square of the current amount of the population.

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A: Given query is to find the the linear function and time taken to completel full the balloon.

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A: Given: The profit from the production and sale of 150 units is $455, and the profit from 250 units…

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Q: Demand for a commodity generally decreases as the price is raised. Suppose that the demand for oil…

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Q: Spread of an Epidemic An influenza epidemic spreads at a rate proportional to the product of the…

A: Let there are y people infected in the community of 20,000 people, ⇒dydt∝y(20000-y)⇒dydt=ky(20000-y)…

Q: The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485.…

A: In this question, we need to find the demand equation.

Q: moose

A: Please refer to the image below

Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data…

A:

Q: Ducks:In 2005, the duck population living at a lake was measured to be 100. In2010, the population…

A: t       = time in yearsP(t) = The population of duck in t'th yearGiven:P(2005) = 100…

Q: Demand. Two business students decided to open a small company together to sell the own brand of…

A: We will use differentiation to solve this.

Q: The profit P from selling x units of a product is given by        P = 560x − 0.2x2. The sales are…

A: The profit P from selling x units of a product is given by :         P=560x-0.2x2 Now, The sales are…

Q: 37. Price-demand. The price p (in dollars) and demand x for wireless headphones are related by x =…

A:

Q: company buys a new bulldozer for $103850. The company depreciates the bulldozer linearly over its…

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Q: State sales tax S is directly proportional to retail price p. An item that sells for 180 dollars has…

A: Given: Sales tax is directly proportional to the retail price. An item that sells for 180 dollars…

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Q: A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are…

A:

Q: A town's population (y) is 18,000 and is decreasing at a rate of 3% per year. Which equation…

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Q: 1. Absorbing Cerebrospinal Fluid [11] Cerebrospinal fluid is continually produced and reabsorbed by…

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Q: Your family likes to eat fruit, but because of budget constraints, you spend only $5 each week on…

A: Given Total money we have $5 apples costs $1.00 grapes cost $2.00

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Q: Chemical Reaction. In an autocatalytic chemical reaction, the product formed is a catalyst for the…

A: Given dQdx=kx(Q0-x)Q0=amount of original substancex=amount of catalyst formed.

Q: A company buys a new bulldozer for $109500. The company depreciates the bulldozer linearly over its…

A:

Q: A person’s weight depends on both the number of caloriesconsumed and the energy used. Moreover, the…

A: dwdt=C3500-(17.53500)w

Q: A company buys a new bulldozer for $110750. The company depreciates the bulldozer linearly over its…

A: Given data is : Cost of new bulldozer is $110750 Its salvage value at and of 17 years is $18100 Let…

Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A: Consider the provided question, (A) We need to express the value of the bulldozer, V, in terms of…

Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A: It is given that, Value of new bulldozer is, v1=$104950 Value of bulldozer after 21 years is,…

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: The road of Barangay Lumbia needs to be repaired. The time (t) needed to repair the said road varies…

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Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A: Question 01: Depreciation is the decrease or loss in value of an item due to age, wear, or market…

Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A: Company buyes a new bulldozer for $81400Company depreciares the bulldozer linearly that means there…

Q: A company buys a new bulldozer for $82750. The company depreciates the bulldozer linearly over its…

A: The company depreciates the bulldozer linearly over its useful life of 15 years. So relation between…

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Q: Pregunta 13 The price p (in dollars) and the demand x for a brand of running shoes are related by…

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Q: pole. A man walks away from the pole. How is the rate at which he walks away from the pole, and the…

A: Given query is to find the relation between rate at which man walks away from the pole and the rate…

Q: A company buys a new bulldozer for $92050. The company depreciates the bulldozer linearly over its…

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Q: The revenue from ring tones was $94 million in 2003 and has grown by about 111% per year since then.…

A: topic - functions

Q: Growing Cabbages In the short growing season of the Canadian arctic territory of Nunavut, some…

A: Given: Let the final size of a cabbage be S, the number of nutrients be N and the number of other…

Q: Linear Function At low altitude, the altitude of a skydiver and time in the air are linearly…

A:

Q: In 1993, the moose population in a park was measured to be 4380. By 1999, the population was…

A: We will consider x on the graph to be years since 1990 and y on the graph to be the number of moose…

Q: A large koi pond is filled from a garden hose at the rate of 18 gal/min. Initially, the pond…

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Q: Linear Regression 1. At what temperature is the electronic device running if its estimated is 120…

A: (a)   Obtain the regression equation.   Use EXCEL procedure to obtain the regression equation.…

Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

A: Given where s estimates weekly sales and x for weekly advertising cost

Q: World Population The low long-range world population numbers and projections for the years 1995–2150…

A: Given equation is: y=-0.00036x2+0.0385x+5.823 where x is the number of years after 1990 and y is in…

Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A:

Q: Prices of diamonds are determined by what is known as the 4 Cs: cut, clarity, color, and carat…

A: To test if there is a difference between the average standardized prices of 0.99 and 1 carat…

Q: A town's population (y) is 18,000 and is decreasing at a rate of 3% per year. Which equation…

A: The town's population is, P = 18,000 The rate at which the population is decreasing, r = 3% = 0.03…

Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data…

A: Given, Initially the balloon has 4 ft³ of hydrogen. Hydrogen is filled at 0.5 ft³/sec. Let the time…

Q: linear function f(x) =-0.28x + 1.7 models the percentage of U.S. taxpayers who were audited by the…

A:

Q: 37. Price-demand. The price p (in dollars) and demand x for wireless headphones are related by x =…

A: Given:  Demand Function: x=6000-0.15p2 To find: Revenue Function Rate of change of revenue function.…

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.