For Exercise, use a variation model to solve for the unknown value. The strength of a wooden beam varies jointly as the width of the beam and the square of the thickness of the beam, and inversely as the length of the beam. A beam that is 48 in. long, 6 in. wide, and 2 in. thick can support a load of 417 lb. Find the maximum load that can be safely supported by a board that is 12 in. wide, 72 in. long, and 4 in. thick. L = length T = thickness W = width

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 310…

A:

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

A:

Q: If the edge of a cube decreases by x%, its volume decreases by 48.8%. Find the value of x. a.  10…

A: Given : edge of cube is decreased by x %  Volumes decreases by 48% Volume of cube = a3 v = a3dvda =…

Q: Are the following equations Linear, Quadratic, or Exponential?

A: The given equation is

Q: The time required to paint a particular house varies inversely with the number of painters. If it…

A:

Q: For Exercise, use a variation model to solve for the unknown value. The resistance of a wire varies…

A:

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 volume of blood, B, in a person’s body varies directly as body weight, W. A person who weighs…

A: Given that B varies directly as W.  So, B=KW   Given that, For W=160, B=5  So, 5=K(160) K=5/160=…

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

A:

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

A:

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

A:

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

A:

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

A:

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

A:

Q: The time it takes to do a job is inversely proportional to the number of workers. If 8 workers can…

A: We have to find  no of days

Q: The cost of filling up Jason's car is directly proportional to the number of gallons purchased. If…

A: We have, the cost of filling the car is directly proportional to number of gallons purchased. Thus,…

Q: A(0, 270) 250 200 150 100 (1.5, 80) 50 0.5 1 1.5 2 2.5 h (hours since injection) m (mg of drug in…

A:

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

A: To write that what happens with intensity when distance becomes double

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

A:

Q: If s varies directly as the square of t, and s = 10, what is the constant of variation?

A: To determine the constant of variation from the given data

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

A:

Q: 14) In kickboxing, it is found that the force, f, needed to break a board, varies inversely with the…

A: Note : If you get a question that has more than 1 question, please answer the first question, unless…

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

A:

Q: For Exercise, use a variation model to solve for the unknown value. The current in a wire varies…

A: Given, The current in a wire varies directly as voltage and inversely as the resistance.

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

A:

Q: A car traveled 45 miles in 45 minutes. Assume that the car will continue at this constant rate.…

A: As we know that the speed(S) of a car when it travelled M miles in T hour is: S=MT  miles/hour

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

A:

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

A:

Q: The number of minutes needed to solve an Exercise Set of variation problems varies directly as the…

A: Let the number of minutes m varies directly as the number of problems n and inversely as the number…

Q: A company determines that its weekly online​ sales, S(t)​,in hundreds of​ dollars, t weeks after…

A: Given Data: The weekly online sales is: St=8et The variable t indicates the number of weeks after…

Q: The area, A square feet, of the wall Ivan is painting is directly proportional to the time he spends…

A: Given, The area A in square feet of the wall Ivan is painting is directly proportional to the time…

Q: The volume of a cylindrical can varies jointly with its height and the square pf its radius.…

A:

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

A: Company’s weekly online sale is given by the function S(t) = 4et where t is the weeks after sales…

Q: Find the constant of variation: (2, 16) and(4,32)

A:

Q: If a varies jointly with b squared and c, what is the constant of variation when a=32, b3D2 and c36?…

A:

Q: The price of a bag of coffee beans, P, varies directly with the size, S, of the bag. If a 20 oz bag…

A: Given that, the price of a bag of coffee beans, P, varies directly with size, S. P∝SP=kS Therefore,…

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

A: Explanation: Given that, k is a constant. Volume V Radius r

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

A: Explanation: Given that,  y varies inversely as the square of x.

Q: The intensity of a television signal varies inversely as the square of the distance from the…

A: Consider the given: IntensityIα1distance2Iα1d2I=kd2where,k is constant.

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 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 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 value in dollars, v(x), of a certain car after x years is represented by the equation…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The load L a horizontal beam can safely support varies jointly as the width w and the square of the…

A: Given The load L a horizontal beam can safely support varies jointly as the width w and the square…

Q: Find the constant of variation and the variation equation. y varies directly as the square root of…

A:

Q: Write an equation that expresses the statement. w is proportional to the product of  m and n.

A:

Q: Write an equation that expresses the statement. S is proportionalt to the product of the squares of…

A: To express the following statement in an equation S is proportional to the product of the squares of…

Q: Write an equation that represents the relationship between the given variables. Usek as the…

A: