After sitting out of a refrigerator for a while, a turkey at room temperature (72°F) is placed into an oven. The oven temperature is 315°F. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven, as given by the formula below: T = T + (To – T)e-kt Ta = the temperature surrounding the object To = the initial temperature of the object %3D t = the time in hours |3D T = the temperature of the object after t hours k = decay constant The turkey reaches the temperature of 135°F after 2.5 hours. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5 hours. Enter only the final temperature into the input box.

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) = t'/2…

A: Given query is to find the average velocity of the car from t=1 to t=7.

Q: The average molecular velocity v of a gas in a certain container is given by v = 29sq.root T m/s,…

A:

Q: A car starts from rest at time t = 0 and accelerates at –0.6t + 4 meters/sec2 for 0 <t< 12. How long…

A:

Q: . During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 +…

A: Given:  dh(t)dt = R(t) = 0.5 + tcosπt380                                 (1) R(t) = rate of change…

Q: The velocity (in ft/s) of a sky diver t seconds after jumping is given by v(t)=75(1−e^−0.2t) After…

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 55 ft/s, it's height in…

A: i) Answer(i): 15 ft/s

Q: According to Newton's law of cooling, the temperature T of a body at time t is given by T = Ta + (T0…

A: a).

Q: If x  is inversly proportional to the cube of T and X=54, when T=3, find An equation for T interms…

A: X= K/T^3 Is the equation

Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: The Earth's atmospheric pressure p, is modeled by assuming that the rate dp/dh at which p changes…

A:

Q: A car starts from rest at time t 0 and accelerates with acceleration a(t) = –0.6t + 4-meters sec^2…

A: Here, a(t)=-0.6t+4⇒v(t)=∫a(t) dt⇒v(t)=∫-0.6t+4dt⇒v(t)=-0.3t2+4t is the velocity function.

Q: A certain vehicle can accelerate from a standing start to a speed of v(t) = -0.27t + 12t feet per…

A: givenv(t)=-.27t2+12ta.integrate on both…

Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Let's find.

Q: A car drives down a road in such a way that its velocity in (m/s) at time t (seconds) is…

A: It is given that, the velocity (v) of a car in m/s at time t in seconds is given  by the expression

Q: A projectile is launched vertically from the ground at t = 0, and its velocity in flight (in m&gt;s)…

A: Given : The velocity of the projectile is  v (t) = 20-10 t.   To determine :   The position,…

Q: A car starts from rest at time t = 0 and accelerates at – 0.61 + 4 meters/sec? for 0 <t< 12. How…

A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

Q: = 4000 1 0 代 50 50

A: Our objective is to calcualate the rate at which the water drains when t=50.

Q: After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a…

A: here we have ................(1)

Q: A cylindrical tank as shown in Figure Q 1 is initially filled with water to a height, ho (m). The…

A: Solution:

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: A 2500-gallon tank initially contains 500 gallons of water with 6 pounds of salt dissolved in it.…

A: Let the amount of salt in tank at a time t is yt.   Given information capacity of tank = 2500 gallon…

Q: 3. Assume that the level of nitrogen dioxide present in the atmosphere on a certain June day in city…

A: The level of nitrogen dioxideN(t)=0.05t3t-64+53  0≤t≤8

Q: 15. The height above the ground of a Ferris wheel car is modelled with the equation h(t) = -15 cos +…

A: (a) The height is modeled by a cosine function and we know cos 0°= 1, cos 90° = 0 and cos 180° = -1…

Q: At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of…

A: We have to find out

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time…

A: Given:The rate of change of concentration of a drug in blood with respect to time t is

Q: On a particular summer day the temperature function in Celsius is given by (T(t +7) T(t) = 20 + 8…

A: Note : As per our guidelines we are supposed to answer only one question. Since you have asked…

Q: 10. The rate of growth of a population is given by r(t) = t+t cos() hundred per day. Has the…

A:

Q: The height of the ball thrown vertically upward from a point 1 ft. above the ground with an initial…

A:

Q: The equation of motion of a mass is given as: y = (0.51)e 0.-(0.01)e0.2, where y is the displacement…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: A rock dropped from a state of rest at time t = 0 on the planet Ginormon travels a distance s(t) =…

A: Distance travelled is st=15.2t2. Compute the velocity. vt=s't=15.2t2'=215.2t=30.4t

Q: If s(t) is the position on the x-axis of a particle at time t, then the quantitys(t + h)−s(t) / h…

A: If s(t) is the position on the x-axis of a particle at time t,

Q: A rectangular swimming pool 20 ft wide by 25 ft long and of uniform depth is being filled with…

A: Let l, b and h be the length, width and height of a rectangular swimming pool respectively.Then,…

Q: If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then,…

A:

Q: A drag racer accelerates at a(t) = 66 ft/s?. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A:

Q: Set up an I.V.P. and solve using the following: Suppose a large mixing tank initially holds 500…

A:

Q: Starting with an initial value of P(0) = 75, the population of a prairie dog community grows at a…

A:

Q: The rate of growth of the population N(t) of a new city t years after its incorporation is estimated…

A:

Q: The length L (in in.) of a pendulum is slowly decreasing at the rate of 0.110 in./s. How fast is the…

A:

Q: The metabolic rate of a person who has just eaten a meal tends to go up and​ then, after some time…

A: Given function - F(t) = -10.35+175.8te-t1.3                for t&gt;0F(t) = thermic effect of foodt…

Q: The rate of growth of the population N(t) of a new city t years after its incorporation is NP = 900…

A: Solve the differential equation. Use the initial condition and then calculate for the asked quantity…

Q: A car drives down a road in such a way that its velocity (in m/s) at time tt (seconds) is…

A: vt=3t12+4

Q: What is the rate equation for Newton's Law of Cooling? T is the temperature of the body and Tm is…

A:

Q: 90T -with T in Kelvins (K) and V in cubic V The pressure in newtons per square meter (N/m²) of a gas…

A: Here I am attaching image so that you understand each and every step.

Q: Just before mid-day, the dead body ofJohn Wayneis foundin a room that is kept at a constant…

A:

Q: If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then…

A:

Q: According to the ideal gas low. PV = KT, where Prs the pressure, Vis the volume, Iis the…

A:

Q: Suppose a metal cube is heated to a temperature of 100˚C uniformly throughout the cube and then…

A: