After sitting on a shelf for a while, a can of soda at a room temperature (72°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 39°F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below: T = Ta + (To –- Ta)e-kt Ta the temperature surrounding the object To = the initial temperature of the object

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of o, is related to its pressure p (in…

A: NOTE: Refresh your page if you can't see any equations. . on the interval [8,11], the average rate…

Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 19°C, then,…

A: To find: The average temperature of the drink C during the first 26 minutes.  Given: The temperature…

Q: A rectangle has width w inches and height h inches, where the width is twice the height. Both w and…

A: It is given that, a rectangle has width w inches and height h inches, where the width is twice the…

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: **......... ******** The pressure, volume, and temperature of a mole of an ideal gas are related by…

A: Given that the pressure, volume and temperature of a mole of an ideal gas are related by the…

Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been…

A: Energy needed for a lizard to walk or run a distance of 1 km is modeled by the below equation. Here…

Q: The pressure in newtons per square meter (N/m²) of a gas in a cylinder is given by P = 307 - with…

A: Here we use the derivative the both parts.

Q: The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving…

A: We have to solve the differential equation as a function of t.

Q: After sitting on a shelf for a while, a can of soda at a room temperature (73°F) is placed inside a…

A: Given that: Initial temperature of the can of soda = 73oF Temperature of the can of soda after 35…

Q: The rate of change of the ozone, an invisible gas that is an irritant and impairs breathing, present…

A: Consider the given function.The function R (t) shows the relation between the rate of change of…

Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

A:

Q: A population of 500 bacteria is introduced into a culture and grows in number according to the…

A: Given: pt=5001+4t50+t2 we know that population growing rate is given by differentiation of given…

Q: Starting with an initial value of P(0)= 55, the population of a prairie dog community grows at a…

A: The population of a prairie dog community grows at a rate of P'(t)= 20 - t/5 (prairie…

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body…

A: Given Body mass Index   I=WH2

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

A:

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to…

A: The equation for the temperature of the coffee after t minutes is,

Q: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: If a cup of coffee has temperature 93°C in a room where the ambient air temperature is 23°C, then,…

A:

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: The rate of growth, dP/dt of a population of bacteria is given by dP/dt=k sqrt of t, where P is the…

A:

Q: The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV =…

A: Given PV=8.31Twhere P is in kilopascal ,V is in liters ,and T is in kelvins Volume increases from…

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to…

A:

Q: The volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of…

A:

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: The acceleration of a particle is given by a = 8 t, where “a” is in meters per second squared and…

A: We will solve the problem

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: 1. The period T of oscillation (in seconds) of a simple pendulum of length L (in feet) is given by T…

A: Given: The period T of Oscillations of a simple pendulum of length L is given by: where L is in…

Q: The population of Angeles City in 1829 when it became a separate town from San Fernando is known to…

A:

Q: The position of a particle, with respect to an initial point, after t seconds is given by the…

A:

Q: If the velocity of a moving object is v (t)=t- 2 in meters per second, then what is its…

A:

Q: acceleration, in ft/sec2, of a truck at time t seconds is given by a(t) = 6 – 1.5t. The net change…

A: The acceleration, in ft/sec2, of a truck at time t seconds is given by a(t) = 6 – 1.5t. The net…

Q: Starting with an initial value of P(0)=55, the population of a crow community grows at a rate of…

A:

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A:

Q: Q.4 Suppose that electricity is draining from a capacitor at a rate that is proportional to the…

A:

Q: In 2011, an earthquake with magnitude 9.0 on the Richter scale was recorded off the east coast of…

A:

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in…

A: Vp=1p

Q: The rate at which the body cools is proportional to the difference in temperature of the body and…

A: Given the data

Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been…

A: Given that the average E needed for lizard to walk or run a distance of 1km is given by equation,…

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

A:

Q: A. The rate of change of height with respect to Dbh is 1.15 fin Of The rate of change of height with…

A: Given is an equation: y=1.15x+1.1

Q: A thermometer is taken out of a room at 64 ° F, outside where the temperature is at 8 ° F. After…

A:

Q: Let C(t) be the concentration of a drug in the bloodstream. AS the body eliminates the drug, C(t)…

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: Given : pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of amole…

Q: The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving…

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>0F(t) = thermic effect of foodt…

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in…

A:

Q: Starting with an initial value of P(0)=55, the population of a crow community grows at a rate of…

A:

Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given…

A:

Q: Q.3. The rate at which a body cools is proportional to the difference between the temperature of…

A: