Suppose y varies directly as x and inversely as z. If y = 20 when x = 40 and z = 4, what is the constant of variation, k? k = Additional Materials Tutorial

Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x and…

A: Given that, y varies directly as x and inversely as the square of z so, Where k=constant

Q: Suppose that y varies directly with x, and y=6 when x 15. (a) Write a direct variation equation that…

A: A detailed solution is given below

Q: Suppose that y varies inversely as the square of x, and that y=5 when x=10. What is y when x=12?…

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

Q: The variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. What is the constant…

A: Given that the variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. We need…

Q: Suppose z varies directly with x and Inversely with the square of y. If z =.6 when r = 2 and y = 1,…

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Q: Suppose that y varies directly with x, and y=20 when x=32. (a) Write a direct variation equation…

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Q: Suppose that y varies inversely as the square of x, and that y=5 when x=16. What is y when x=6?…

A: Given, y varies inversely as square of x              ⇒ y ∝ 1x2

Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: . If S varies inversely as the square root of T andS = 4 when T = 4, what is S when T = 16?

A: Given that, S varies inversely as the square root of T. S α 1TS=kT     k is proportanility constant…

Q: Suppose that y varies inversely as the square of x, and that y=4 when x=2. What is y when x=6? Round…

A: y ∝ 1x2 y = kx2 k = yx2         ............................(1)

Q: If y varies inversely as x, and y = 3 when x = 18, find the constant of variation k, and then…

A: Given query is to find the constant of variation between.

Q: Suppose that y varies directly with x, and y= 15 when x= 6. (a) Write a direct variation equation…

A: If x and y vary directly, y varies directly with x,y ∝ xit means y = kx, where k is the constant of…

Q: Suppose z varies directly with a and inversely with the square of y. If z = 12 when æ 3 and y = 4,…

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Q: Suppose y varies directly with √x. Write a general formula to describe the variation if y = 2 when x…

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Q: Y varies directly with z and the constant of variation is -5. What is the value of y when z = 2?…

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Q: varies directly as g and inversely as r?. s jointly proportional to the square of x and the cube of…

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Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

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Q: Suppose that y varies directly with x, and y=3 when x= 15. (a) Write a direct variation equation…

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Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

A: Explanation of the answer is as follows

Q: If y varies inversely with the square of x, and y=6 when x=2,find y when x=0.4

A: If y varies inversely with the square of x and y = 6 when x = 2we find y when x = 0.4

Q: The rate of change of N is inversely proportional to N². IfN (0) = 4, and N(2) = 6, what is N(5)? O…

A: The rate of change of N is inversely proportional to N2N(0)=4 and N(2)=6

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: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

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Q: 1. Given: y varies inversely as x. Write the variation function where y=8 when x-4.

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Q: If y varies inversely as x, and y = 30 when x =5, find the variation constant and the corresponding…

A: y varies inversely as x i.e.. when x increases y decreases and vice versa.

Q: If y varies directly with x and y = 30 when x = 5, find y if x = -3. First, find the direct…

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Q: The volume of a fixed amount of a gas varies directly as the temperature T and inversely as the…

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Q: Suppose that y varies inversely as the square of x, and that y=7 when x=2. What is y when x=12?…

A: Here is the solution

Q: Suppose that y varies directly as x' and inversely as w. If both x and w are doubled, what is the…

A: Given: y varies directly as x5 and inversely proportional as w2

Q: find the constant of variation for each of the stated conditions. A varies jointly as b and h, and A…

A: Given: A varies jointly as b and h and A=72 when b=16 and h=9. To find the constant. Solution: The…

Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Suppose that y varies inversely as the square of x, and that y=7 when x=10 What is y when x=19?…

A: y varies inversely as the square of x, and that y=7 when x=10 We need to calculate  What is y when…

Q: Suppose that y varies directly with x, and y=8 when x=16 write a direct variation equation that…

A: The initial statement is y∝xTo convert to an equation multiply by k constant of variation.y=kx

Q: Given the following information, describe the variation. 2 4 5 20 y 10 4. 1 A Direct Variation…

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Q: Suppose that y varies inversely as the square of x, and that y=2 when x=5 . What is y when x=17

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Q: If f(t) is measured in dollars per year and t is measured in years, what are the units of f(t)dr?…

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Q: Suppose that y varies directly with x, and y = 20 when x = 8. (a) Write a direct variation equation…

A: Solve the equation

Q: 8A In the equation S : S varies P as A and as P.

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Q: Suppose that y varies directly with x, and y= 15 when x=24. (a) Write a direct variation equation…

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Q: 5. If A varies directly as r and A = 33 and r= 11, find the equation of variation.

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Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 468 when…

A: a) Find the constant of proportionality k if z = 468 when y = 10 and x = 18. z=k*x*y 468=k*10*18…

Q: 5.) The speed (S) of the swing varies inversely as the weight (W) of the person. Elaine who weighs…

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Q: Use your intuition to determine whether the variation between the indicated quantities is direct or…

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Q: Suppose that y varies directly with x, and y=5 when x= 20. (a) Write a direct variation equation…

A: Given y varies directly with x means y is proportional to x ⇒y=kx

Q: If pp and qq vary inversely and pp is 22 when qq is 21, determine qq when pp is equal to 7.

A: If p and q vary inversely and p is 22 when q is 21, We have to determine q when p is equal to 7.

Q: 14. If y varies inversely as x and y = when x =9, find y when x=-3. d) - a) 5

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Q: Šolve the variation problem. y varies directly as x.y = 45 when x = 5. Find y when x = 13. 13 O 225…

A: Solve

Q: Suppose that y varies directly with x, and y= 10 when x= 25. (a) Write a direct variation equation…

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Q: Let us suppose that r varies directly with ss.  If r = 10 when s = 5, then. the constant of…

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Q: Suppose that y varies directly with x, and y=15 when x=24 write a direct variation equation that…

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