The weight of a can of soup is jointly proportional to its height and to the square of its diameter.   A can 5 inches high with a diameter of 2 inches weighs 8.0 ounces. What is the weight of a can that is 3 inches high with a diameter of 3 inches?

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: It costs a family $324.00 to buy a 10-ft-by-12-ft rug. If the cost is proportional to the area, what…

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Q: When building a house, the number of days required to build is inversely proportional to with the…

A: *given:- the number of days is inversely proportional to the number of workesrs.   or number of…

Q: The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his…

A: Given- The number of hours is inversely proportional to his average driving speed and he drives at…

Q: The electrical resistanceof a wire varies directly with the length of the wire andinversely with the…

A: Given that a resistance of a wire is directly proportional to the length of the wire and inversely…

Q: The safe load, L, of a wooden beam of width w, height h, and length l, supported at both ends,…

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Q: e load, L, of a wooden beam of width w, height h, and length l, supported at both ends, varies…

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Q: a) In terms of x, what is the equation of the volume of the box?

A: Given figure, Given length of the figure =40 inch  width of the figure =20 inch

Q: The safe load, L, of a wooden beam of width w, height h, and length l, supported at both ends,…

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Q: The number of miles a car can be driven is proportional to the number of gallons of gasoline that…

A: The number of miles a car can be driven is proportional to the number of gallons of gasoline…

Q: The maximum range of a projectile is directly proportional to the square of its velocity. A baseball…

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Q: The amount of time it takes mail carriers to deliver the mail in one town is inversely proportional…

A: It is inverse ratio propotional problem.

Q: Write an equation that expresses the statement. z  is proportional to the square root of y.

A: Given  z  is proportional to the square root of y

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

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Q: The amount of water used to take a shower is directly proportional to the amount of time that the…

A: This question is based on the concept of direct proportion Amount of water(w) is directly…

Q: The distance, s, that a body falls from rest varies directly as the square of the time, t, of the…

A: Given: (k is a constant used to remove the proportionality sign) When s=64 feet and t= 2s value of…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patlent…

A: A certain medicine is given in an amount proportional to a patient's body weight.Suppose a patient…

Q: The height that a person is above the water is directly proportional to the square of the distance…

A: Given: The height that a person is above the water is directly proportional to the square of the…

Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: We denote weight by 'w' and height by 'h'  As weight directly proportional to height  Thus w = kh…

Q: The intensity of a light source at a distance is directly proportional to the strength of the source…

A: Given that, the intensity of a light source at a distance is directly proportional to the strength…

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

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Q: The weight a suspension bridge can support, B, in tons, is directly proportional to the square root…

A: Given thatWeight of suspension bridge can support (B)= 1400 tonsWeight of bridge material (w)= 2100…

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

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Q: The average number of daily phone calls, C, between two cities varies jointly as the product of…

A: a.)The number of phone calls = CPopulation of one city = P1Population of another city = P2Distance…

Q: The volume, V, of a gas varies directly as the temperature, t, and inversely as the pressure, P. At…

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Q: An airplane has a length of 256 feet and a wingspan of 295 feet. A toy model airplane was designed…

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Q: The intensity of light (in foot-candles) varies inversely as the square of x, the distance in feet…

A: Given: The intensity of light (in foot-candles varies inversely as the square of x, the distance in…

Q: The maximum safe load for ahorizontal rectangular beam varies jointly with thewidth of the beam and…

A: Let the length, width, thickness and maximum safe load of beam is represented by following…

Q: The mass of a spherical solid is inversely proportional as its density and the cube of its…

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Q: The cost C of steel tubing varies jointly as its length L, in feet, and diameter D, in inches. If a…

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Q: The period of a pendulum varies directly as the square root of the length of the pendulum and…

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Q: Your friend has a poster printed from a photograph that is 6 inches wide by 10 inches long. The…

A: Question, 1,Given,          Your friend has a poster printed from a photograph that is 6 inches wide…

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: The lift of an airplane wing at takeoff varies jointly as the square of the speed and the area of…

A: Given:- Lift experienced is 1700 lb if plane travels at 50 mi/h with wing area of 500 ft^2.

Q: The intensity I of light is inversely proportional to the square of the distance d from the light…

A: topic - ratio and proportion

Q: A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The…

A: Explanation of the answer is as follows

Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: Soln Given(w) weight of tree is dired proportionalto cube of it,s height hw ∝ h3w = k h3…

Q: The resistance (in ohms) of a circular conductor varies directly with the length of the conductor…

A: Let R be the resistance, l be the length, and r be the radius. Given that R=10,l=50,r=6×10-3.

Q: The resistance to the flow of electricity in a wire varies inversely to the square of the diameter…

A: This is a question from the variation of quantities. Here the resistance is inversely proportional…

Q: The distance that a freely falling body falls varies directly as the square of the time it falls. If…

A: Let d, in feet, be the distance The distance that a freely falling body falls in time t second Then…

Q: Sound intensity varies inversely as the square of the distance from the sound source. If you are in…

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Q: The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms,…

A: The formula of power P dissipated in a resistor of R ohm carrying current I amperes is given by,…

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 capacity of a cylinder varies jointly with its height and the square of its radius. If a…

A: Proportionality sign is important when we say a quantity varies directly or indirectly with some…

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

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Q: The illumination received for a light source varies inversely as the square of the distance from the…

A: topic - direct and inverse proportion

Q: The weight W of an object varies inversely as the square of the distance d from the center of the…

A: If you like the solution then please give it a thumbs up... The Answer is:      Result:   w = 112.69…

Q: The intensity of light received at a source varies inversely as the square of the distance from the…

A: Given: The intensity of light received at a source varies inversely as the square of the distance…

Q: the stopping distance of a car varies directly as the square of its speed. If a car traveling at 30…

A: Let, d= the stopping distance of the car speed= s Given that, d=ks2  Where k = constant Given s= 30…

Q: The weight of an object above the surface of the Earth varies inversely with the square of the…

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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.