Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.

Q: The distance to stop a certain vehicle varies directly with the square of its speed.  It takes 300…

A: Let the distance to stop the vehicle be d feet and the speed be s mph.

Q: The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at…

A: Any quantity which is directly proportional to another quantity means means it varies linearly with…

Q: The drag force F on a boat varies jointly with the wet surface areaA of the boat and the square of…

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Q: The drag force  F  on a boat varies jointly with the wet surface area  A  of the boat and the square…

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Q: The frequency, or pitch, of a musical note varies inversely with the wavelength. The speed of sound,…

A: We have to find the wavelength

Q: The stopping distance (s) of a car varies directly as the square of its speed (v). If a car…

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Q: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If…

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Q: The electrical resistance of a piece of wire is inversely proportional to the cross-sectional area.…

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Q: Heat of a Campfire The heat experienced by a hiker at acampfire is proportional to the amount of…

A: Let 'x' be the amount of wood and 'd' is distance.

Q: The stopping distance D of a car after the brakes have been applied varies directly as the square of…

A: Given that, The stopping distance D of a car after the brakes have been applied varies directly as…

Q: The resistance in ohms of a metal wire temperature  sensor varies directly as the temperature in…

A: Given that, the resistance is 1020 ohms at a temperature of 170K. We know that the resistance of a…

Q: The current (I) in a wire varies directly as the voltage (V) and inversely as the resistance (r).…

A: The current varies directly as the voltage and inversely as the resistance I=current V=voltage…

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of…

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat…

Q: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If…

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Q: The intensity of light measured in foot-candles varies inversely with the square of the distance…

A: Given: The intensity of light  varies inversely as the square of the distance from the light source.…

Q: The lift ?on an airplane wing at takeoff varies jointly as the square of the speed ?of the plane and…

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Q: A power P, in watts, that a circular solar cell produces and the radius of the cell r in centimeters…

A: A power in watts, that a circular solar cell produces and the radius of the cell r in centimeters…

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

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Q: The dosage D of a drug that a physician prescribes Varies directly as the patient’s mass M and…

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Q: Body Weight The weight of a body varies inverselyas the square of its distance from the center of…

A: Given, "The weight of a body varies inversely as the square of its distance from the center of…

Q: Gravity The weight of an object varies inversely with the second power of the distance from the…

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Q: translate each statement of variation into an equation, and use k as the constant of variation. The…

A: Intensity of Illumination = IDistance from source = dConstant of proportionality = k

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

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Q: The load L, in pounds, on a certain sail varies directly as the square of the wind speed v, in miles…

A: If the variable are proportional to each other then they can be equated by using some constants. For…

Q: diameter and inversely as the square of the height. A 9-meter column 2 meters in diameter will…

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Q: Heat of a Campfire The heat experienced by a hiker at a campfire is proportional to the amount of…

A: Let x be the amount of wood and d is the distance. Given, Heat is proportional to amount of wood and…

Q: circumference of a circle varies directly as the radius. A circle with radius 5 in. has…

A: Explanation and solutions is given below....

Q: The roof of a new sports arena rests on round concrete pillars. The maximum load a cylindrical…

A: The question states that, Maximum load, a cylindrical column of a circular cross section can hold…

Q: The power in an electric circuit varies jointly as the current and the square of the resistance. If…

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Q: the weight (in pounds) w=f(d) of an object varies inversely as the square of its distance (in…

A: Given that the weight w=f (d) of an object varies inversely as the square of its distance (in…

Q: The distance s that an object falls is directly proportional to the square of the time t of the…

A: If a is directly proportional to b then a∝b  or a=kb , where 'k' is the proportionality constant.

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

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

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Q: e stopping distance d of a car after the brakes are applied varies directly as the square of the…

A: It is given that, the stopping distance d of a car after the brakes are applied varies directly as…

Q: The volume of a cone is equal to one third of the volume of a cylinder that has the same height and…

A: The equation that represents for cone height of the cone is inversely proportional to the area of…

Q: A person’s body mass index (BMI) is used to determine if a person’s weight falls within reasonable…

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Q: aeiclgmyas lsoinsv yns brit ( iamyer The electrical resistance R of a wire varies inversely with the…

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Q: the weight (in pounds) w=f(d) of an object varies inversely as the square of its distance (in…

A: Hey, since there are multiple subpart posted, we will answer first three subpart. If you want any…

Q: The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at…

A: Given  The stopping distance s of a car varies directly as the square of its speed v. Car travelling…

Q: D. Aerodynamic Lift The lift L on an airplane wing at takeoff varies jointly as the square of the…

A: L  varies jointly as the square of the speed s of the plane and the area A of its wing.

Q: The distance s that an object falls varies directly with the square of the time t. If an object…

A: Given: The distance s that an object falls varies directly with the square of the time t.

Q: The circumference of a circle varies directly as the radius. A circle with radius 5 in. has…

A:

Q: D. Stopping Distance The stopping distance D of a car after the brakes have been applied varies…

A: Given: The stopping distance D of a car after the brakes have been applied variesdirectly as the…

Q: The load L, in pounds, on a certain sail varies directly as the square of the wind speed v, in miles…

A:

Q: The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at…

A:

Q: 10. The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 321…

A:

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: A is inversely proportion to the cube of B When A=3, B=2 Find the equation connection A and B Find…

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Q: The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at…

A: Let s denotes the distance required to stop the car, and v denotes the speed of the car. Then, the…