A body at a temperature of 0° F is placed in a room whose temperature is kept at 100°F. If after 10 minutes the temperature of the body is 25° F, find the time required for the body to reach a temperature of 50° F.

Q: Suppose a candle is lit and burns at a constant rate of 2.5 inches per hour. 3.1 hours after the…

A: The burn rate of candle is -2.5/hr(minus sign as it is decreasing) t= 3.1hrs at t=x where x is…

Q: We are at a city named Freezo, close to the North Pole, where the days temperature either above of…

A: Given: Let the matrix A =p1-q1-pq

Q: A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes the…

A:

Q: How long will it take a jogger jogging at 5 mph to catch up with a walker walking at 3 mph with one…

A: Speed of jogger 5mph Speed of walker 3mph

Q: A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5…

A: Newton's Law of Cooling states that the rate of change of the temperature of an object is…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A:

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: NOTE: Refresh your page if you can't see any equations. . width is w=x so the length is l=4x+2 the…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A:

Q: Suppose that in winter the daytime temperature in a certain office building is to be maintained at…

A:

Q: One type of strontium has a radioactive decay rate of 1.4% per day. If 30 pounds of this strontium…

A:

Q: When a cake is removed from an oven, its temperature is measured at 300° F. Three minutes later its…

A: Let's find.

Q: Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: The solution of the problem is given in the next step.

Q: Consider an object in a surrounding with a constant temperature of 25C. If the temperature of the…

A:

Q: Two candles of equal length are lit at the same time. Candle A takes 10 hours to burn out completely…

A: According to the given question, Length of candle A = Length candle B Number of hours taken by…

Q: If a bear runs at 20 mph for 3 mins. and a human runs at 10 mph for 3 mins. show the formula needed…

A:

Q: At 10:30 am, detectives discover a dead body in a room and measure its temperature at 26◦C. One hour…

A: Recall the Newton's law of cooling. The differential equation satisfied by the body temperature,…

Q: A metal sphere cools from 80°C to 70°C in 5 minutes. How much more time (in minutes) will it take to…

A:

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

A:

Q: A ship has wrecked and its crew of 300 men has been left stranded on a dessert island. The food will…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F. If…

A: Given:- A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F.…

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A: Given: The temperature of an ingot of silver is 60°C above room temperature. Also, the temperature…

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.

Q: A small metal bar with initial temperature was 20°C, is dropped into a large container of water with…

A: Here we create a differential equation based on given information. Then solve that equation.

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Solution

Q: Suppose there is a 2​-degree drop in temperature for every thousand feet that an airplane climbs…

A:

Q: When a cake is removed from the over, its temperature is measured at 300'F. Three minutes later its…

A: The initial temperature of cake Ti = 300°F After t = 3 minutes T1 = 200°F Atmosphrice temperature T0…

Q: A body at a temperature of 50 degree Fahrenheit is placed in an oven whose temperature is kept at…

A: toNewtonisdawAccordingof coolingdTTs-KLT-Ts)1surrounding tempis temp after itminutesdtTlt)>dT-k…

Q: A ball is dropped from a height of 50 meters. If each bounce brings it to 90% of its previous…

A:

Q: At​ 12:00 noon, there were 200 bacteria present. By​ 4:00 pm, there were 379 bacteria. If the…

A:

Q: Suppose newly-baked cupcakes are taken out of the oven, set at 100 degrees. The room temperature is…

A:

Q: A corpse was found by a detective at exactly 8:00 PM. Being alert, the detective measured the body…

A: Suppose that, time 0 is taken to be 8 P.M. The given conditions can be written as a boundary value…

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A:

Q: A steel ball is heated to 120°C and then immersed in a vat of water kept at a constant temperature…

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Given query is to find the rate of change area.

Q: If the air is maintained at 15oC and the temperature of the body drops from 70oC to 40oC in 10…

A:

Q: A dead fish was found inside a compartment that is able to maintain a constant temperature of 373…

A: let D be the body temperature at t seconds according to question, initially , at time t=0D=900…

Q: The school population for a certain school is predicted to increase by 40 students per year for the…

A: It is given that, the school population for a certain school is predicted to increase by 40 students…

Q: In a murder investigation, a corpse was found by a detective at exactly 8 PM. Being alert, the…

A:

Q: Two machines are turned on at 8:00 A.M. If one can produce 36 items each hour and the other can…

A:

Q: A body at a temperature of 10°F is placed outdoors where the temperature is 100°F. If after 15…

A: A body at a temperature of 10°F is placed outdoors where the temperature is 100°F. If after 15…

Q: One type of uranium has a radioactive decay rate of 0.4% per day. If 50 pounds of this uranium is…

A: We have to find the remaining amount

Q: Given enough food and space, the number of yeast in a colony increases in an hourly rate of 5 times…

A:

Q: Suppose that a corpse is discovered at 10 p.m. and its temperature is determined to be 85°F. Two…

A: Given that, Suppose that a corpse is discovered at 10 p.m. and its temperature is determined to be…

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: The formula for exponential growth rate is Pt=P0ekt Where, t= time. k=growth rate P0=initial amount

Q: If the air is maintained at 15°C and the temperature of the body drops from 70°C to 40°C in 10…

A:

Q: A metallic rod at a temperature of 120°F is placed in a room at a constant temperature of 10°F. If…

A: Initial temperature of metallic rod is:  T0 = 120∘F temperature of the room = 10∘F By Newton's law…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: