Boat rates Two boats leave a dock at the same time. One boat trav-els south at 30 mi/hr and the other travels east at 40 mi/hr. Afterhalf an hour, how fast is the distance between the boats increasing?

Q: Time-lagged flights An airliner passes over an airport at noon traveling 500 mi>hr due west. At…

A:

Q: Airspeed An airline runs a commuter flight between Portland, Oregon and Seattle, Washington, which…

A: Distance is 145 miles. Let s be the airspeed at any time t. Now, Speed=distancetime⇒s=145t    →1 Now…

Q: . Distance, Speed, and Time Two cyclists, 90 mi apart, startriding toward each other at the same…

A: Two cyclists are riding towards each other from 90 miles apart.

Q: Area The length s of each side of an equilateral triangle is increasing at a rate of 13 feet per…

A: The side of an equilateral triangle is =s Area of an equilateral triangle A=s234 It is also given…

Q: À moving van leaves a house traveling at an average rate of 35 mph. The family leaves t house - hour…

A: Given that: Speed of moving van  = 35 mphSpeed of car = 50 mph

Q: A car leaves place a traveling 100 kilometer per hour. An hour later a second car leaves place a…

A: Given, first can is travelling at 100 km/hsecond can is travelling at 140 km/h

Q: Physics: Uniform Motion Two cars enter the FloridaTurnpike at Commercial Boulevard at 8:00 am,…

A: Speed is a scalar quantity and is calculated by dividing distance traveled and time taken to cover…

Q: 5. A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.…

A: Distance covered in particular time is given and we have to find the distance and the speed and time…

Q: Dr. Robotnik approaches an intersection in a police cruiser from the north at 90 miles per hour. At…

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Q: 50- 40 30- 20- 10- -10 10 20 30 Rosa is a lifeguard and spots a drowning child 30 meters along the…

A: We need to minimize time needed by Rosa to reach the child .  For relative maximum or minimum To…

Q: Application of First order DE. A thermometer reading 10 degrees Celsius is brought in a room whose…

A: We will solve this using newton cooling formula

Q: road perpendicular to a highway leads to a farmhouse located 4 mile away. An automobile traveling on…

A: Given query is to find the rate of change between the distance of farmhouse and automobile.

Q: km faster than the other. If the two cyclists are 188 kilometers apart Two cyclists start at the…

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Q: Distance, Speed, and Time Two cyclists, 90 mi apart, start riding toward each other at the same…

A: Given:         Cyclist are 90 mi apart.​  One cycles twice as fast as the other.

Q: Falling parachutist A woman bails out of an airplane an altitude of 10,000 ft, falls freely for 20…

A: Given,  A woman bails out of an airplane at an altitude of 10,000 ft, falls freely for 20 s, then…

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A:

Q: mi Two buses leave towns 564 miles apart at the same time and travel toward each other. One bus…

A: Let the speed of slower bus be V

Q: A red and a blue car leave Bellevue at the same time. The red car drives south and the blue car…

A: Given: The red car is going south at a speed of 55 km/h, The blue car is going west at a speed of 75…

Q: Jose's rate of doing work three times as fast as Bong On given day Jose and Bong work together for 4…

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Q: Shadow Length A man 6 feet tall walks at a rate of 5 feetper second toward a streetlight that is 30…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the…

A: Given, Distance = 720 miles Time (in the same direction) = 6 hours Time (in the opposite direction)…

Q: tank holds 120 gallons of water. A pipe delivers water into the tank

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Q: km slower than the other. If they meet in 3 h Two cyclists leave towns 138 kilometers apart at the…

A: Topic:- Alzebra  Rate of slower cyclist = 20 km/h Rate of faster cyclist = 26 km/h

Q: Temperature of a Skillet A skillet is removed from an ovenwhere the temperature is 450°F and placed…

A: Assuming initial temperature be u0 and the temperature after time t will be u(t)= T+(u0 -T)ekt where…

Q: Two water tanks release water at the same time. Water tank A holds 6,000 gallons of water and water…

A: Quantity of water in tank A=6,000 gallons. Quantity of water in tank B=8,250 gallons. Rate by which…

Q: Point A is launched horizontally away from a wall and a(t) represents Point A's distance from the…

A: Concept: Graph theory: Graph theory is analyzed in terms of points and lines. . It is a branch of…

Q: Kylan, championship swimmer, is training for the Tokyo Olympics. To do so, he swims in a strean that…

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Q: n a sprint to the finish a professional cyslist travels 380 meters in 20 seconds at that rate how…

A: SOLUTION-

Q: You peer around a corner. A velocity raptor 64 meters away spots you. You run away at a speed of 6…

A: Given: Running speed, v=6 m/s Raptor speed, vr=4t m/s After, t=4 seconds, raptor is 32 meters away…

Q: Airplane Ascent During takeoff, an airplane’sangle of ascent is 18° and its speed is 260 feet per…

A: Trigonometry: Airplane Ascent During takeoff, an airplane’s angle of ascent is 18° and its speed is…

Q: The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: - Boat Speed A boat on a river travels downstream between two points, 20 mi apart, in 1 h. The…

A:

Q: A car drives on a circular track with a radius of 1 km. At the southernmost point of the course is a…

A: Given: Radius of track, R = 1 km. At given time, distance between car and radar meter, S = 0.5 Km.…

Q: The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the…

A: Consider the given: It takes the plane 9 hours to travel the 720 miles from one town to another…

Q: Distance and time vary directly when driving at a constant speed. Mackenzie driving at a constant…

A: This is a simple distance time speed problem of algebra

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the…

A: By solving the two statements 6 hrs to travel 720 miles facing a headwind and 3 hrs to travel back…

Q: A tank containing 300 gallons of pure water. A brine solution is pumped to the tank containing 2 kg…

A:

Q: Distance, Time, and Speed An old car has to travel a 2-mile route, uphill and down. Because it is so…

A: Ascent average speed is when the car is accelerating  to increase from low to high speed. The ascent…

Q: - Airplane Speed A man flies a small airplane from Fargo to Bismarck, North Dakota-a distance of 180…

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Q: Ocean From a parking lot you want to walk to a house on the ocean. The house is located 5160 ft down…

A: Speed=distance/time

Q: Two cars (Car A and Car B) travel on parallel east-west roads (Road 1 and Road 2) located 10km…

A: Given that

Q: . Distance, Speed, and Time A boardwalk is parallel to and 210 ft inland from a straight shoreline.…

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Q: noon and 2 pm the population triples, at what time should the population become 100 times what it…

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Q: Average Speed An airline runs a commuter flight between Portland, Oregon, and Seattle, Washington,…

A:

Q: Speed of a Car A car has an odometer reading of 15,951 miles, which is a palindromic number. After 2…

A: Find the next palindromic number and then use the formula for speed to yield the result. The speed…

Q: Distance, Speed, and Time It took a crew 2 h 40 min to row6 km upstream and back again. If the rate…

A: To row 6 km upstream and back it takes 2h 40 min Rate of flow of stream 3 km/h To find rowing speed…

Q: Distance and Time A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs…

A: Given a woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 212 mi, for…

Q: The distance travelled by a car moving at a constant speed over time. A truck drivers salary of…

A: Given that: The distance travelled by a car at a constant speed over time,…

Q: travelling at goes through A train ROkm/h atunel issm long. calculate tt in seconds the time a…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.