A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes What is the rocket's rate of change in miles per minute?

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the…

A:

Q: Over a 3 week period, the price of an MP3 player dropped steadily, from $154 to $100. What was the…

A: Average weekly change=change in price/change in weeks

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the…

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Q: The frequency of a vibrating string under constant tension is inversely proportional to its length.…

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Q: If You Can Run “The 600 Yard Run” In 1 Minute, 40 Seconds, How Fast Is That In Miles Per Hour?

A: Given The 600 Yard Run” In 1 Minute, 40 Seconds

Q: A jet travels  1965  miles against a jetstream in  3  hours and  2505  miles with the…

A:

Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: number of employees in a company decreases from 132 to 84?

A:

Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

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

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Q: A gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver stops…

A: Given, a gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver…

Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A:

Q: Over a 3 week period, the price of an MP3 player dropped steadily, from $168 to $120. What was the…

A: Given ,  Over a 3 week period, the price of an MP3 player dropped steadily, from $168 to $120 We…

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

A: volume of cube = side3 V= volume  x= side dVdt=24 in3/minutedxdt=? at x=2

Q: A speedboat can travel at rate of 30 miles per hour. At this rate, what is the distance that the…

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Q: ariel travels 400 miles in 8 hours what is her rate of change or speed

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Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A:

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

A: Let's find initially present bacteria.

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 motorboat travels 224 kilometers in 4 hours going upstream and 306 kilometers in 3 hours going…

A: Topic:- algebra

Q: A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of…

A: Solution:

Q: One leg of a right triangle is always 6 feet long, and the other leg is increasing at a rate of 2…

A: Given dldt=2ft/sech=10 ftm=6 ftTo find dhdt=?

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

A:

Q: A $1500 washing machine in a laundromat is depreciated for tax purposes at a rate of $125 per yeaar/…

A: It is given that a $1,500 washing machine in a laundromat is depreciated for tax purpose at a rate…

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: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: area = altitude*base289 = 9.5*base2base = 18.73 cm

Q: Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per…

A: Given that,  intial water level of river =34 feet receding rate of water level = 0.5 feet per day…

Q: What is the rate of the current in miles per hour?

A:

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: A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going…

A:

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: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: In 10 minutes, the body cools from 75 to 55 degree Celsius when temperature of the surrounding is 31…

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Q: The volume of a gas is inversely proportional to the pressure. If a pressure of 18 pounds per square…

A:

Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

A:

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: The shelf life of a perishable commodity varies inversely with the storage temperature. If the shelf…

A: Shelf life of a perishable commodity≈1storage temperature   At 10 degrees C:                  Shelf…

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: A square has a side length that is decreasing at a rate of 14 feet per minute. What is the rate of…

A: Rate of decreasing of side of square is 14 feet per minute. To find rate of change of area of the…

Q: If the temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the 11th…

A: Given: The temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the…

Q: What is the rate of change (as a %) if the number of employees in a company decreases from 139 to…

A:

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

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

A: