If one sound has a relative intensity 100 times that of another, how do their decibal levels compare?

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

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Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: What is the difference in the noise levels of two sounds, one of which is 1000 times as intense as…

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

Q: A ladder 20 feet long leans against a house. What is the rate at the top of a ladder that is moving…

A: Given that ,      A ladder 20 feet long leans against a house. We have to calculate the rate at the…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: Let height of triangle = h Base = b Then, we are given that:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

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

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Q: This exercise refers to the decibel scale. If one sound has a relative intensity 100000 times that…

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Q: An airplane at an altitude of 35,000 feet begins descending at a rate of 2,000 feet per minute. How…

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

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

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Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

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

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Q: When a constant force acts upon an object, the acceleration of the object varies inversely with its…

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Q: A ball is thrown upward from the ground with an initial speed of 25m/s. at the same instant, another…

A: Solution   Given a ball is thrown upward from the ground with an initial Same from Speed of 25m/s,…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

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Q: The substance decomposed at a rate proportional to the amount resent. What is the half-life of the…

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Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

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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: When a constant force is applied to an object, the acceleration of the object varies inversely with…

A: Given  mass m=4 kgaccelration a=5 m/s2we know that F=maF=4*5F=20NNow same force applied on anather…

Q: If the ocean is opening at a rate of 3 cm/year., how wide will the ocean be in 100 million years in…

A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

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

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Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Given,                     Each side of a square is increasing at a rate of 6 cm/s. The area of the…

Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

Q: A ladder 20 feet long rests against a vertical wall. If the bottom of the ladder slides away from…

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

Q: If the area of a square is increasing by 10 square inches per minute, how quickly is the length of…

A: Let us consider x inches be the side of the square. Area = x2. We are given that the area of the…

Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…

A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

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

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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: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

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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: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: triangle

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Q: If a 250 meters long train is traveling at an average speed of 60 kph, how long it would take that…

A: According to the question, Speed of train 60 kph To convert the speed of train in meter per second,…

Q: The number of light bulbs that can be expected to last less than 1540 hr is.

A: here given , Suppose that the life expectancy of a certain brand of non defective light bulbs is…

Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

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Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

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Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A: applying the concet of projectile motion, using, height 'h' after t seconds is given by the…

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

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Q: A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above…

A: dx/dt​=4.  given.    Distance of tip= y+x…