The distance between the dock and the boat is decreasing by feet per second when the boat is 2 feet from the dock.

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: The weight of an object varies inversely as the square of the distance from the center of the earth.…

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: The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8…

A:

Q: A plane can fly 220 mph in calm air. Flying with the wind, the plane can fly 708 mi in the same…

A: Given A plane can fly 220 mph in calm air.  With the wind, the plane can fly 708 mi in  it takes to…

Q: It takes you 59 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Given- It takes 59 seconds to walk from the first (ground) floor to the third floor of the building.…

Q: A plane can fly 180 mph in calm air. Flying with the wind, the plane can fly 579 mi in the same…

A: Plane speed =180 mph and consider a as the rate of wind.Speed of plane with wind = 180+aSpeed of…

Q: when a plane flies with the wind it can travel 840 miles in 2 hours when the plane flies in the…

A: Solution :-

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: A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each…

A:

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm /…

A:

Q: A small motor on a fishing boat can move the boat at a rate of 10 mph in calm water. Traveling with…

A: This is the question that is based on the concept of speed, distance and time. When the boat will…

Q: The velocity, v, of a falling object varies directly to the time, t, the object is falling. After 3…

A: Follow the procedure given below.

Q: The number of times working out in a month varies inversely to the number of pounds lost the first…

A: let y be the no. of times working out in a month and x be the pound lost at first month

Q: In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind…

A: It is known that wind pressure=k(velocity)2.

Q: It takes you 36 seconds to walk  from the first floor of a building to the third floor .how long…

A:

Q: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.02…

A: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.02 cm/min.…

Q: The heat loss of a glass window varies jointly as the window's area and the difference between the…

A:

Q: A boat travels 20 km upstream in a river in the same period of time as it takes to travel 30 km…

A:

Q: It takes you 36 seconds to walk from the first ground floor of a building to the third floor. How…

A: Given that  Time taken by walk from ground floor to first floor is 36 sec

Q: The time it takes you to drive to work varies inversely with your driving speed. When driving at…

A:

Q: An airplane is flying at an altitude of 6 miles and passes directly over a radar station. When the…

A:

Q: The braking distance of a car varies directly as the square of the speed of that car. Assume that a…

A:

Q: An object is thrown into the air at a height of 60 feet. After 1 second and 2 second, the object is…

A: Given:

Q: A boat moves 7 kilometers upstream in the same amount of time it moves 19 kilometers downstream. If…

A:

Q: he radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch…

A: volume of the right circular cylinder is given byV=πr2hHere we have fixed height = 16 inches ,…

Q: A plane can fly 220 mph in calm air. Flying with the wind, the plane can fly 960 mi in the same…

A: Given Plane speed =220 mphPlane can fly with the wind = 960 miPlane can fly against the wind = 800…

Q: The speed of a moving walkway is typically about 2.5 feet per second. Walking on such a moving…

A: The speed of a moving walkway is  2.5 feet per second. It takes Karen a total of 40 seconds to…

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

A:

Q: A plane can fly 170 mph in calm air. Flying with the wind, the plane can fly 555 mi in the same…

A: Given that a plane can fly 170 mph in calm air. Flying with the wind, the plane can fly 555 miles in…

Q: It takes you 32 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Time taken to walk from First floor to third floor = 32 seconds Time taken to walk from First floor…

Q: The volume of a cube is increasing at 24 cubic inches per minute. What is the rate of change of its…

A: Recall:  Volume of the cube = a3 ; where 'a' is the sides of the cube.

Q: A plane can fly 200 mph in calm air. Flying with the wind, the plane can fly 633 mi in the same…

A: Given plane speed P=200 mphlate wind speed = W mph

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

A:

Q: Hamzah who is 5 feet tall is walking away from a lamp post at the rate of 30 feet per minute. When…

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: An earthworm was in the soil 9 inches below the surface. To find moister soil, it moved down 7…

A: Given that the earthworm was already 9 inches below the surface.  It moved another 7 inches…

Q: An airplane travels 3040 kilometers against the wind in 4 hours and 3520 kilometers with the wind in…

A: Let the rate of the plane in still air is = x km/h and the rate of the wind is=y km/h So the speed…

Q: The heat loss of a glass window varies jointly as the window's area and the difference between the…

A: Given that the heat loss varies jointly as the area of the window and the difference between inside…

Q: The depth of a diver is directly proportional to the time since the diver entered the water. If it…

A: Given that , the depth of diver is directly proportional to the time.

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: a hot air balloon was rising at a rate of 494 feet per minute convert this speed to meters per…

A: This is simple conversation we will convert both according to given data.

Q: When a plance flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A:

Q: A natural number when increased by 12 , becomes equal to 160 times its reciprocal. Find the number

A:

Q: A boat travels 54 mi upstream against the current in the same amount of time it takes to travel 138…

A:

Q: Two motorcycles start at the same point. One motorcycle travels 15km due north and stops. The second…

A:

Q: the area of a triangle varies jointly as its base and its height. If the base is increased by 10%…

A:

Q: A jet travels 4074 miles against a jet stream in 7 hours and 5054 miles with the jet stream in the…

A: