A bottle of juice with a temperature of 95°F was taken off a shelf and placed in a cooling unit with an internal temperature of 30°F. After ten minutes, the internal temperature of the juice was 80°F. Therefore our model would be: T(t) = 65e-0.026t + 30. To the nearest degree, what will the temperature of the juice be after 40 minutes? Do not enter "F" in the answer box.

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Q: Two people can complete 60% of a task in t hours, where t must satisfy the equation t/10 + t/15 =…

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Q: Solve the D. E y-2ý+24 = 2 X +3 2y +2Y

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Q: Suppose the equation for the amount of water w (in gallons) in the pool after t hours is w=…

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Q: Find a constant solution of y′ = t2y - 5t2.

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Q: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

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Q: solve using the appropriate method. y + 3y − 1/ t = t + 2

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Q: The number N of bacteria in a refrigerated food is given by N(T) = 1072 207 +500, 1 ≤ T ≤ 20 where T…

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Q: An object at a temperature of 90℃ is placed in a room at 25℃. The temperature of the object is given…

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Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +…

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Q: A colony of bees increases by 25% every 3 months. How many bees should steve start with if he wishes…

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Q: The number of parts produced per hour by a worker is given byN = 4 + 3t2 - t3 Where t is the number…

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Q: The United States is not building many nuclear power plants, but the ones it has are running at…

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Q: he equation for free fall at the surface of some planet (s in meters, t in seconds) is s=7.31t^2.…

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Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: ts1 Solve for (1+t2)y' + 4ty = f(t), y(0) = -3/4, with f (t) = { _ t 1

A: Solve

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Q: 51) Find x if DM=x + 8 and MY= 1+ x D. B W M Y.

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Q: A population of bacteria is growing according to the equation P(t)=300e0.14tP(t)=300e0.14t. Estimate…

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Q: A shoe company is planning a new brand of walking shoe for the market. Research shows that x, the…

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Q: In the vicinity of a bonfire, the temperature T in C at a distance of x meters from the center of…

A: Given: In the Vicinity of a bonfire, the temperature T in C at a distance of xmeters from the center…

Q: The national catch of Atlantic Cod has been declining in the past few decades. We can model this…

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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.