The frequency fof vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is positive and depends on the tension and density of the string. (a) Write an equation that represents this variation. (b) What effect does doubling the length of the string have on the frequency of its vibration? O The frequency of its vibration is halved. O The frequency of its vibration is doubled. O The frequency of its vibration remains the same.

Q: In the context of electrical circuits, Ohm’s law describes the relationship between the voltage, V,…

A: Consider the formula for voltage: V=IR Apply product rule and differentiate the equation with…

Q: The volume of a pyramid varies jointly as the height and the area of the base. Suppose a pyramid has…

A:

Q: The radiation energy E emitted by a heated surface (per unit surface area) is directly proportional…

A: a) Given, Radiation energy emitted per unit surface area is directly proportional to the fourth…

Q: The water temperature in the ocean varies inversely with the depth of the water. The deeper a person…

A: Let, T be the temperature in the ocean. d be the depth. According to given, T∝(1/d) Removing the…

Q: a.) What is the constant of proportionality? b.) How many miles does the car travel in 1.5 hours?…

A: Given: A car is traveling down a highway at a constant speed described by the equation d = 65t,…

Q: You would think that your blood alcohol content (BAC) would be directly proportional to how many…

A: We will use appropriate model to solve this. Note- you can also use      BAC = K* ( N ) as well to…

Q: The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a…

A: Calculation:a. The initial statement Frequency is inversely proportional to the square root of the…

Q: k S = (d – 2)? where c and k are positive constants which depend on the quantity of smoke each stack…

A:

Q: and 5 in. in diameter and sells for $1.80. In the An 18-oz jar of peanut butter in the shape of a…

A: From given, the dimensions of the 18-oz jar is,Height = 7in. and diameter = 5 in.The volume of the…

Q: When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received…

A: topic - functions

Q: student studies by the light of a desk lamp. The intensity of the light, I, in lumens is inversely…

A:

Q: The pressure P of a sample gas is directly proportional to the temperature T and inversely…

A: (a)

Q: In the context of electrical circuits, Ohm's law describes the relationship between the voltage, V,…

A:

Q: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A: Wr have to find k and no of widgets.

Q: The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the…

A: Given:

Q: The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of…

A:

Q: z varies directly as the square of x and inversely as y.(z = 6 when x = 6 and y = 4.)Find a…

A: Given,z varies directly as square of x and inversely as y. ⇒z∝x2⇒z∝1y⇒x=kx2y     (k =constant of…

Q: The maximum weight M that can be supported by a beam is jointly proportional to its width w in…

A:

Q: When two gears are mashed, the revolutions per minute (rpm) are inversely proportional to the number…

A: We will use the concept of ratio to solve this problem.

Q: a. The time​ traveled, t is inversely proportional to the​ rate, r,​ traveled, and the constant of…

A:

Q: The maximum weight M in pounds that can be supported by a beam is jointly proportional to its width…

A: Jointly proportional:- Let z is jointly proportional to a set of variables then it means z is…

Q: The cost C of printing a magazine is jointly proportional to the number of pages p in the magazine…

A:

Q: 15. The speed r of a moving object is inversely proportional to the time travelled is written as…

A:

Q: b.) What is the constant of proportionality? c.) Write and equation that relates the amount of snow…

A: b) 4 inches of snow in 2 hours. 2 hours→4 inches of sbow1 hour→2 inches of snow⇒2 is the constant of…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A:

Q: When two gears are mashed, The revolutions per minute (RPM) are inversely proportional to the number…

A: Given - When two gears are mashed, The revolutions per minute (RPM) are inversely proportional to…

Q: The volume of a box (V) varies directly with its length (). If the box has a volume of 360 cubic…

A: Volume ×length   v×l

Q: When two gears are mashed, the revolutions per minute (rpm) are inversely proportional to the number…

A:

Q: The loudness L of a sound (measured in decibels dB) is inversely proportional to the square of the…

A: Given that the loudness L of a sound (measured in decibels dB) is inversely proportional to the…

Q: The intensity of illumination I from a light varies inversely as the square of the distance d from…

A: The intensity of illumination I from a light varies inversely as the square of the distance d from…

Q: The wavelength (W) of a wave varies inversely as its frequency (F). A wave with a frequency of 600…

A:

Q: Factories A and B are 5.0 km apart with factory B emitting eight times the pollutants into the air…

A:

Q: Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she…

A:

Q: The water temperature in the ocean varies inversely with the depth of the water. The deeper a person…

A:

Q: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A:

Q: The resistance R of a wire varies directly as its length L and inversely as the square of its…

A:

Q: 1. The weight P in pounds that a beam can safely carry is inversely proportional to the distance D…

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Given the volume V is directly proportional to the temperature(T) and inversely proportional to the…

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: Given that, x is inversely proportional to the square root of y.That is,

Q: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of the…

A: Given: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A:

Q: The circulation time of a mammal (that is, the average time it takes for all the blood in the body…

A: Ans. b Circulation time = Y Body mass = x A/c to question, Y is directly propotional to x^(1/4) Y =…

Q: A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from…

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of…

A: Given that loudness L, of a sound is inversely proportional to the square of the distance d that is,…

Q: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

A: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

Q: - Loudness of Sound The loudness L of a sound (measured in decibels, dB) is inversely proportional…

A: (a) Given the loudness of sound L (in dB) is inversely proportional to the square of the distance d…

Q: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A:

Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

A: