When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 0.9t - 0.810.3 +21, where t is the time in hours after 6 AM and f(t) is the number of barrels of fuel oil. Step 1 of 3: How much fuel is consumed by 10 AM? Round your answer to 2 decimal places.

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A: The size of the population of the bacteria is related to time by the equation, P(t)=5000e0.03t Here,…

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A: Population model

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A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: Jose hopes to earn $600 in interest in 4.1years time from $48,000 that he has available to invest.…

A: Given, He will be investing for 4.1 years. He will be investing for $48,000  He will be compounding…

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A:

Q: A population of bacteria is growing according to the equation P(t)=800e0.23tP(t)=800e0.23t. Estimate…

A: find explanation below

Q: An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

A: factor out -5 to do a complete square add and subtract 36

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumptlon varies according to the…

A: Given - Total  fuel consumption varies according to formula- f(t)=1.1t3-0.4t0.5+20 Here t is time…

Q: The population of a city is modeled by the equation  P(t)=217,837e^0.15t where t is measured in…

A: The population of a city is modeled by the following function Pt = 217,837e0.15t…

Q: The concentration, C in parts-per-thousand (ppt), of a pollutant in a river during the manufacturing…

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: pollution of Lake Erie were to stop suddenly, it has been estimated that level y of pollutants would…

A: We will find out the time to clear 50℅ of pollutants.

Q: The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e-0.6t)2 G(t)…

A:

Q: The following equation represents the growth of bacteria in a particular food product, where t…

A:

Q: The rate of growth of a fish population was modeled by the equation 60,000e-0.6t (1 + 5e-0.6t)2 G(t)…

A: Here we have given the rate of growth of fish population.

Q: A population of bacteria is growing according to the equation P(t) = 650e".22. Estimate when the…

A:

Q: For a certain culture the equation Q(t) = Q0 e0.1t, where Q0 is an initial number of bacteria and t…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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: The following equation represents the growth of bacteria in a particular food product, where t…

A: given that,  f(t)= 700e^0.01t

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Given,          When a factory operates from 6AM tp 6PM, its total fuel consumption varies according…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

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: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: How long will it take is sample of radioactive substance to decay to half of its original amount, if…

A: Find the time t.

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A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

A:

Q: A population of bacteria is growing according to the equation P(t) = 750e0.21t , where t is the…

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Q: Medical research has found that between heartbeats the pressure in the aorta of a normal adult is a…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total money flows in 8 years=…

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A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Answer

Q: The total fertility rate in a certain developing country can be modeled according to the equation f…

A: Given, f(x)=0.003x2-0.2x+6.48 Where x is the number of years since 1958.

Q: The following equation represents the growth of bacteria in a particular food product, where t…

A: Given, the number of bacteria function f(t) = 700e0.1t , where t is time in days. When the bacteria…

Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: If the rate of excretion of a bio-chemical compound is given by f()= 0.01 e0.011 the total amount…

A:

Q: A population of bacteria is growing according to the equation P(t) = 550e0.0st , where t is the…

A:

Q: Jose hopes to earn $⁢600 in interest in 4.3 years time from $⁢6,000 that he has available to invest.…

A:

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

A:

Q: The following equation represents the growth of bacteria in a particular food product, where t…

A:

Q: Suppose an object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed…

A: Initial speed of object is s(0)=4 ft/sec. The speed of object after t seconds is given by s(t)=32t+4…

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.