The weight of a person relative to the Earth is inversely proportional to the square of the person’s distance from the center of the Earth. If an astronaut weighs 193 pounds on the surface of the Earth, what will this astronaut weigh 1,000 miles above the Earth (assume the radius of the Earth is 4,000 miles)?

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: In an electrical circuit, the current passing through a conductor varies inversely with the…

A:

Q: The volume, V, of a gas varies inversely as the pressure, P, on it. The volume is 2540 cm3  when the…

A:

Q: The electrical resistance of a cable varies directly as its length and inversely as the square of…

A:

Q: The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of…

A: Consider the provided statement. The drag force F on a  boat varies jointly as the wetted surface…

Q: the forces needed to keep a car from skidding on a curve F varies inversely as the radius of the…

A:

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person’s…

A: Given: Body Mass Index (BMI) varies directly as a person’s weight in pounds and inversely as the…

Q: If a is directly proportional to b and if a = 30 when b = 21, what is the value of a when b = 10…

A: Question number 30,Given,          a is directly proportional to b and a=30 whne b=21. Also when…

Q: The quantity of water discharged over a rectangular weir is directly proportional  to the crest…

A:

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

A:

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person’s…

A:

Q: The volume of gas in a gas shock absorber varies inversely with the pressure and directly with the…

A:

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: 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: If a is inversely proportional to the cube root of b, what happens to a if b is 64 times as much as…

A: topic - ratios and proportion

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: According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies…

A: Solution:- The step-by-step solution of above problem is given below. a) It is given that   the…

Q: In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind…

A: It is known that wind pressure=k(velocity)2.

Q: A force, f, varies inversely with the square of the distance, d, from an object.

A:

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given:A force of 200 pound keeps a car of weigth 3200 pound from skidding on curve of radius400ft at…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person’s…

A:

Q: Given that y is inversely proportional to x and the fact that y = 23 when x = 15, determine the…

A:

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

A:

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

A: Given information: BMI = Body mass indexBMI ∝ body weight          (body weight =w in lbs)BMI ∝1body…

Q: 2. The intensity at which an object is illuminated varies inversely as the square of its distance…

A: Let the intensity of the light be N and the distance from the light source be d.  Then we have that…

Q: For a given set of rectangles, the length is inversely proportional to the width. In one of these…

A: For a given set of rectangles, the length is inversely proportional to the width.

Q: If y is inversely proportional to the square of x, and y = 4 when x = 3, find y when x = 6.

A: Given, If y is inversely proportional to the square of x, and y = 4 when x = 3

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

A:

Q: For a substance C, the time rate of conversion is proportional to the square of the amount of…

A: Given: For substance C, the time rate of conversion is proportional to the square of the amount of…

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 weight of an object above the surface of Earthvaries inversely with the square of the distance…

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

Q: The intensity of a sound from a point source varies inversely with the square of the distance from…

A:

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: 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: he value of A is inversely proportional to the sum of B and C, and A is 4, B is 8 and c is 2, what…

A: Simply fallow the algebraic rule of numbers

Q: . If y is directly proportional to x, and y = 56 when x = 6, what is the value of x when y = 84?

A: Given: y is directly proportional to xy α xy=kxk is a  proportional constant

Q: If Y varies inversely as the square root of X, what happens to Y if X is decreased in the ratio…

A:

Q: The volume V of a given mass of gas varies directly as the temperature T and inversely as the…

A:

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

A:

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

Q: If a varies directly with the square of b, and b in turn varies inversely with d, if  a is 90 when d…

A: Given that, a varies directly with the square of b. b varies inversely with d. a is 90 when d is 5.…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person’s…

A: Given query is to find the weight gain of loose to get the BMI of 24

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

A:

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 surface area of a balloon varies directly as the square of its radius. The area is 1256 cm when…

A: given that A1=1256 cm square, r1=10 cm,r2=4cm,A2=? according to question surface area Aα…

Q: The weight of a body above the surface of the earth varies inversely as the square of its distance…

A: Force F= Weight Distance= d. The point (d, F)=(4000, 200). Variation formula: F∝d2 F=kd2 Where k is…

Q: At a fixed temperature, the volume of a given mass of gas varies inversely as the pressure applied…

A: Given that, At a fixed temperature, the volume (V) of a given mass of gas varies inversely as the…

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: If y varies inversely as the square root of x and y=1 and x=25, find y when x=16 Attach Cile

A: Given, y ∝ 1x So , y = kx  ;       (where k is the constant of proportionality)      when  y  =1…

Q: The weight of an airplane including cargo varies as the square of the velocity and the…

A: NOTE: Refresh your page if you can't see any equations. . w=weight  v=velocity A=area . The weight…