A bowl of newly cooked porridge has a temperature of 75°C and is placed in a room that has a temperature of 25°C. After 15 minutes, the porridge cooled down to 62°C. Find the constant of the porridge. intel

Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

A: Since a 5-foot string is cut into two pieces, therefore, the sum of the length of these two pieces…

Q: The number of hours it takes for ice to melt varies inversely with the air temperature. A block of…

A: Let t be the time take by melting the ice of temperature T degree. Therefore: t=kT where k is the…

Q: The stress on the material of a large circular metal pipe varies jointly with the internal pressure…

A:

Q: The length of a rectangle is 5 times the width. If the perimeter is to be less than 96 meters. What…

A:

Q: The value of vers θ is equal to

A:

Q: In 1993, the moose population in a park was measured to be 3300. By 1997, the population was…

A:

Q: The boat on the Potomac river travels the same distance downstream in 3/4 hr as it does going…

A: Let ‘w’ be the speed of the boat in still water Time taken to travel downstream is ¾ hr Time taken…

Q: The length of a rectangular box is 8 inches longer than twice the width (x). The height is 9 inches.…

A:

Q: The height that a ball bounces varies directly as the height from which it was dropped. A tennis…

A: The height that a ball bounces varies directly as the height from which it was dropped. That is, b α…

Q: A cyclist rode the first 44​-mile portion of his workout at a constant speed. For the 32-mile…

A: Let s be the speed of the cyclist for the first 44 miles. Then(s-3) be the speed of the cyclist for…

Q: Why doesn’t the constant 0 have a degree?

A: Concept used: The degree of the expression is highest power of the variable in single term .…

Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: After diving 91 m below the sea level, a diver rises at 5 meters per minute for 7 minutes. Where is…

A: Given, After diving 91 m below the sea level, a diver rises at 5 meters per minute for 7 minutes.

Q: The number of days that a given number of bushels of corn will last when feeding cattle varies…

A:

Q: If the temperature of the air is 300K and the substance cools from 360K to 330K in 10 minutes, find…

A: According to Newton's law of cooling, the rate of heat loss of a body is directly proportional to…

Q: In a standard television set, the screen height is 0.75 times the screen width. If a television set…

A: Solution →  Let screen height br h"and screen width be W"So , h = 0.75 Wh = 75100W = 34W

Q: The water temperature of the Pacific Ocean varies inversely as the water's depth. At a depth of 1000…

A: From given,  Tα 1hT=ch

Q: If the constant variation is 14 and y varies inversely with x, write the equation varia

A: Given problem is : If the constant variation is 14 and y varies inversely with x, write the…

Q: In 1991, the moose population in a park was measured to be 3260. By 1999, the population was…

A: A linear model is obtained between 2 variables when the variables satisfy the line expression…

Q: for a given span, the maximum weight that a wooden beam can support varies directly as the square of…

A: The given question can be solved as shown in step2.

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

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

Q: The length of a rectangle is 5 feet more than the width. If x represents the width, in feet, the…

A:

Q: A manufacturing company found that the demand for its product varies inversely as the price of the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A narrow mountain road has an 8% grade. If this grade covers a 2 mile horizontal distance, what is…

A:

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream,…

A:

Q: As the speed of car increase the stopping distance of the car increase or decrease

A: Stopping distance increase as speed of car increases if deacceleration keeps constant.

Q: At a constant temperature, the volume of a gas varies inversely as the pressure. If the pressure of…

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Q: The amount of solar power installed in the US can be modelled as M(x) = 15.45(1.46*) megawatts,…

A:

Q: If the constant variation is 7 and y varies directly with x, write the equation variation?

A:

Q: Each edge of a cube is decreased by 1 inch. If the volume of the smaller cube is 37 cubic inches…

A: Topic:- algebra

Q: The area of a projected picture on a movie screen varies directly as the square of the distance from…

A: Given that area of projected picture on a movie screen varies directly as the square of the distance…

Q: The length of your storage crate is 2 meters greater than its Width, and its height is 1 meter…

A: Given that: Length of storage crate = 2m greater than widthHeight of storage of crate = 1m greater…

Q: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

A: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

Q: A cake is removed from an oven at 193 degrees fahrenheit and left to cool at room temperature, which…

A: Formula: Newton's law of cooling T(t)=TS+(To-TS)ebt T(t)- Temperature at time t. TS - surrounding…

Q: A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The…

A: Explanation of the answer is as follows

Q: A hot air balloon begins its descent at a rate of 225 feet per minute. How long will it take for the…

A: The given data is: The hot air balloon descent at the rate of -2212 feet/minute To find how long…

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Consider the average velocity of plane be v and average velocity of wind be w. When the plane is…

Q: The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total…

A:

Q: The distance that a freely falling body falls varies directly as the square of the time it falls. If…

A: Let d, in feet, be the distance The distance that a freely falling body falls in time t second Then…

Q: In a standard television set, the screen height is 0.75 times the screen width. If a television set…

A: Solution:                 the screen height is 0.75 times                 the scrren width.If a…

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Given: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane…

Q: The surface area of a cube varies directly as the square of the length of an edge. If the surface…

A: We need to find the surface area of 10 inches long cube.

Q: The weight of a body varies inversely with the square of its distance from the center of Earth.…

A: It is known that weight,w=kd2 where d is the distance from the center of Earth.

Q: The cost per student for a field trip to the Everglades varies inversely as the number of students…

A: Make a relation according to the problem

Q: The rate of vibration of a stringunder constant tension varies inversely with the length ofthe…

A: Consider the given length L1=48inch and n1=256, n2=576

Q: An 18­ foot board is cut into two pieces. If one piece is x feet, express the length of the other…

A: (18-x) feet

Q: y varies directly as the fourth power

A:

Q: Find the muzzle speed of a gun whose maximum range is 24.5 km.

A: We have to find the muzzle speed of a gun whose maximum range is 24.5 km. We know horizontal range,…

Q: If a patient's left foot is cooler than the average, would you expect the patient's right foot to be…

A: Solution: I would expect the patient's right foot to be cooler  than average