Maria is climbing a mountain. Maria’s elevation, E(t), in feet after t minutes is given by E(t) = 1200 + 40t. Write a complete sentence describing Maria’s starting elevation and how it is changing over time.

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A:

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h=…

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Q: 8. A manufacturing firm sells the commodities it produced at 200 pesos per unit. If the total cost…

A: Given, Selling price of one unit of commodities = 200 Pesos commodities produced each day = x units…

Q: A $649,000 property is depreciated for tax purposes by its owner with the straight-line depreciation…

A: A $649,000 property is depreciated for tax purposes by its owner with the straight-line depreciation…

Q: A car agency has 250 cars. The owner finds that for a price of $36 per day, he can rent all the…

A: To determine the greatest revenue for the car agency.

Q: The rising college costs from 2000 through 2014 can be modeled by the formula T = 394x + 3123, where…

A: Given:                         T= 394x +3123   To determine:                           The value of…

Q: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: A model rocket is launched upward from an altitude of 150 feet. Its height in feet, h, after t…

A: Given an equation of a model rocket in altitude and timeh(t)=−16t2+216t+150     ........(1)    t≥0

Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h--16…

A: Given: The height of a ball after being dropped from a point 64 feet above the ground is given by…

Q: The number of paintings owned by an art museum was 200. Since this time, the collection of paintings…

A: topic - exponential function

Q: A building worth ​$833,000 is depreciated for tax purposes by its owner using the​ straight-line…

A: the given equation is here we have y=727400

Q: Alex is 9 feet away from his car when he begins walking directly away from his car at a constant…

A: Solution of above question is written below.

Q: What is the constant difference between the consecutive terms?

A: The constant between two consecutive terms is called the common difference.

Q: The average amount A (in pounds per person) of fish and shellfish consumed in the United States…

A: We have to rewrite the model by using whole number only.

Q: ustin left for a long walk at a rate of 4.8 km/hr. Two hours later, Jim started his walk at a rate…

A: When Jim will catch Justin at that time both will travel equal distance , but both travel equal…

Q: A model rocket is launched upward from an altitude of 150 feet. Its height in feet, h, after t…

A: NOTE: Refresh your page if you can't see any equations. . find the time when

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Q: A train leaves Toronto at 2 p.m. A second train leaves Toronto at 5 p.m. and follows the first…

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Q: office

A: You need to just use the statement and form the integral.

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Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

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Q: Braden invested $900 in a mutual fund. Each year, Braden's investment grew by 2%. Which equation…

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Q: Eli’s airship flies at an airspeed of 35 mph, but he is currently flying into a very steady…

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Q: Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per…

A: Given Data The average speed of the car for mileage m=32 miles per gallon is s1=60 miles per hour.…

Q: The yearbook staff at the high school expects to sell 500 yearbooks this year. They expect sales to…

A: The yearbook staff at the high school expects to sell 500 yearbooks this year. They expect sales to…

Q: At midnight, with the temperature inside your house at 21°C and the temperature outside at –6°C,…

A: Model the problem using Newton's Law of cooling. dTdt=k-6-T Taking the time t= 0 when the furnace…

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A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75…

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A: Introduction: In mathematics, functions are the most fundamental aspect of calculus. Functions are…

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Q: A new car depreciates in value each year by 2.3%.  If the initial value was $18,000.  What equation…

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Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline…

A: Let g(x) gallons of gasoline be in tank and leaks in x days.

Q: solve the equation by the method of change of parameters

A: The differential equation is y4-16y=ex The characteristic equation from the homogenous equation is…

Q: Jose's batting average is 0.250 after 160 at-bats, which means he hit 40 of the times he was at bat.…

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Q: An apple farm yields an average of 41 bushels of apples per tree when 21 trees are planted on an…

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Q: 19. Nina types 126 words in 3 minutes. Which equation shows the relationship between the number of…

A: Number of words per minute = 126/3 = 42. In m minutes,

Q: The number of banks in the country for selected years from 1980 to 2009 is given by y =-375.7 x…

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Q: The population of a strain of bacteria doubles every 20 minutes. Supposed there are 750 bacteria to…

A: Use population growth formula to evaluate

Q: The yearly profit from the production and sale of Plumber's Helpers is P(x) = -40,255 + 9.80x…

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Q: For a new product, a manufacturer spends P200,000 on the infrastructure and the variable cost is…

A: From the given information, the fixed cost is P200,000, the variable cost per unit is P110 and the…

Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

A: When the ball hits the ground, the height of the ball from the ground is zero. The solution of the…

Q: distance above the ground after t seconds is h=-12t^2+384t after how many sounds does it reach it’s…

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Q: robot monkey is jumping from one tree to another. The monkey’s height above the ground is modelled…

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.