Use the four-step procedure for solving variation problem to solve: y varies jointly as m and the square of n and inversely as p. y = 15 when m = 2, n = 1, and p = 6. Find y when m = 3, n = 4, and p = 10.

Q: The quantity a varies directly with d and inversely with b and c when d=12, b=5 and c=8, a = -3.…

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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: The time (T) required to do a job varies inversely with the square of the number of people (P)…

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Q: In the inverse variation equation y = k/x what is the effect on x when y is doubled?

A: In the inverse variation equation  y=kx  what is the effect on x when y is doubled

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

A: Given that: a varies directly as b and inversely as the square of c. So,  Where k is a constant.…

Q: If y varies directly with x and y = - when x = 8 4. find y when x = Write and solve a direct…

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Q: x varies inversely as the square of P. If x is 9 when P is 8​, find x when P is 4. ​a) Write the…

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Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x. y = 45…

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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: the intensity i of light varies inversely as the square of the distance d from the light bulb.…

A: The intensity I of light varies inversely as the square of the distance d from the light bulb. That…

Q: Y varies jointly as x and the square root of z; y=48 when x=2 and z=36. Find y when x=3 and z=25.​

A: Vv

Q: Use the four-step procedure for solving variation problems to solve: Kinetic energy varies jointly…

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Q: find the constant of variation k for the stated condition.  A varies directly as the square of r,…

A: A varies directly as the square of r,  Hence, A = kr2

Q: Use the four-step procedure for solving variation problems to solve : The water temperature of the…

A: Let the water temperature be T°cand water's depth be h mAccording to question T α 1hT = chwhere c is…

Q: If y varies directly with x and y = -- when x = 7 find y when x = 4' 4 8. Write and solve a direct…

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Q: 20. Ify varies directly as x, and if y = 52 when x = 4, find y when x = 9. 21. If y varies jointly…

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Q: If A varies directly as B and inversely as C, a) Write the variation equation. b) Find A when B = 9,…

A: a.solution :If A varies directly as B then A  proposnal to BA varies inversely as C  then A…

Q: The number r varies jointly as s and the square of t. IF r = 6 when s = 12 and t = 3 18 and t = 2…

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Q: Use the four-step procedure for solving variation problems to solve : The height that a ball bounces…

A: Let b and h be the bounce and height of the ball. Step 1: Writing the equation of the given…

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: Suppose a varies directly as 2b. (a) Express a in terms of k and b. (where k is the variation…

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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: 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 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: The light intensity, I , of a light bulb varies inversely as the square of the distance from the…

A: Given

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

A: y varies jointly as x and z. y=kxzk is the constant of proportionality

Q: Use the four-step procedure for solving variation problems to solve: Radiation machines, used to…

A: Given that: Radiation machine, used to treat tumors, produce an intensity of radiation that varies…

Q: The number of minutes needed to complete a job,m, varies inversely with the number of works, w. 8…

A: Form a equation and put the give values to find the constant and solve for unknown.

Q: If y varies directly with x and y = -- when x = 4 when x = 5 find 8. Write and solve a direct…

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Q: Find the variation constant and an equation of variation where y varies directly as x and y equals…

A: y varies directly as x , so we can write y=kxwhere k is variation constant.

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: If y varies directly with x and y when x = find x when y 9' !! 5 Write and solve a direct variation…

A: Given, y varies directly with x y=79   when  x =59 We have to find x when y =25

Q: Find a when d is 9.

A: Given: The variable 'a' varies directly with the square of 'b' The variable 'b' varies inversely…

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: The value of m varies inversely as N and directly proportional to L, and M= 8 when L = 4 and N = 9,…

A: The value of M varies inversely as N and directly proportional to L. That is, M α LN⇒M=k·LN    →1…

Q: Given that y varies directly as the square root of x and y = 6 when x = 9, find the variation…

A: It is given that y varies directly as the square root of x, thus the equation formed is- y=cx where…

Q: X varies inversely as the square of P. If x is 5 when P is 4, find x when P is 2

A: Given that X varies inversely as the square of P that is

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 the four-step procedure for solving variation problems to solve: The average number of daily…

A: As Given in the question, The average number of daily phone calls=C, Between two cities varies…

Q: Suppose P varies jointly with r and the square of m. When r=2 and m=3, then P=36. Find P if r=10…

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Q: Use the four-step procedure for solving variation problem to solve: y varies inversely as x. y = 12…

A: According to question, y varies inversely as x.y α 1x 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: The time t required to drive a fixed distance varies inversely as the speed r. It takes 7hr at a…

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Q: Solve the problem. If A varies directly as the square of e, and A = 96 when e = 4, find A when e…

A: Given: A varies directly as the square of e

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

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

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Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

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: If y varies directly as x and y = -45 when x = 10, find the constant of variation k and then…

A: Answer is mentioned below

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as a and b and…

A: Since y varies directly as a and b and inversely as the square root of c, the equation is…

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.