Suppose z varies directly with y and directly with the cube of x. If z=1792 when x=4 and y=7, what is z when x=11 and y=3?

Q: find the constant of variation for each of the stated conditions. y varies inversely as x, and y =…

A: It is given that ;  y varies inversely as x ⇒y∝1x

Q: Suppose that y varies directly as the cube root of x, and that y=70 when x=6859. What is y when…

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Q: Suppose q is directly proportional to the square root of h and inversely proportional to the cube of…

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Q: If y is proportional to x and w^2, and if y=36, when x=2, and w=3, find y when x=3 and w=4

A: We have to remove the proportion by adding a constant and then find the value of constant.

Q: find the constant of variation for each of the stated conditions. y varies directly as the square of…

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Q: Find the value of x if PR || ST 30 4x-3 T 3 18 5.25 0.875 Cannot be determined

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Q: find the constant of variation k y varies directly as x. when x is 16, y is 20

A: Obtain the constant of variation k as follows.

Q: y varies directly as the nth power of x can be modeled by the equation________ .

A:

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

Q: If z is directly proportional to the product of x and y and if z is 21 when x is 6 and y is 7, then…

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Q: Given that x and y vary inversely and that y is 24 when x is 8, what is the constant of variation,…

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 2304 when x = 4 and y = 9,…

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Q: If y varies directly with x and x = 23 when y =16.1, find y when x =9.

A: We have to find y

Q: If A=5 x - 3x , find x. If dA = 4 and dx = 0.16. %3D Round your answer up to 2 decimal places.

A: Use differentiation method

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

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: The engine in a car has a power curve approximated by 12 2. y 3= 26 5000 35 where a is the RPM and y…

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Q: find the constant of variation for each of the stated conditions. y varies inversely as x, and y =…

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Q: For a certain ideal gas, the volume V (in cubic centimeters) equals 20 times the temperature T in…

A: Since we have given that volume (V) of the ideal gas is equal to 20 times the temperature (T).…

Q: Suppose q is directly proportional to the square root of h and inversely proportional to the cube of…

A: q is directly proportional to square root of h, ⇒qαhThat isq=k1h        (1)        where k1 is any…

Q: Suppose that Q is jointly proportional to R and the square of S. If Q=24 when R = 3 and S =  4. Find…

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Q: If x varies directly as y, and x=24 when y=8, find x when y=10

A: Given:x varies directly as y

Q: If x2+xy+y3 =1, find the value of y" at the point where x=1.

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 5184 when x = 6 and y = 8…

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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. r varies inversely as the square…

A: To find the variation equation for a given problem following things are to be kept in mind. For a…

Q: Suppose that y varies directly with x and inversley with Z, and y=28 when x=32 and z=8. Write the…

A: Directly Proportional : If a function t is directly varies (proportional) to another function s then…

Q: Express the statement as an equation. Use the given information to find the constant of…

A: Given: t is proportional to the product of x and y and inversely proportional to r.x=2, y=3, r=12…

Q: For which of the x-values should you NOT attempt to estimate the y because of extrapolation? 0 20…

A: Given scatter plot The 6 data points given in the scatter plot…

Q: a varies directly as the s places if necessary.

A:

Q: find the constant of variation for each of the stated conditions. y varies directly as the cube of…

A: y varies directly as the cube of x

Q: h varies directly as t. If h is 15 when t is 6, find t when h is 25. a. 2.5 b. 3.6 С. 10 d. 30

A: Given:

Q: If y varies directly with x and y =5 when x= 3, what is y when x= 9

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Q: Suppose that y varies directly with x, and y= 16 when x=-2.

A: Given that y varies directly with x.

Q: If  x2 + xy + y3 = 1,  find the value of  y'''  at the point where  x = 1.

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Q: what is z when x=11 and y=1?  z=?

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Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: The function z = x2 – xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), we have to compare…

Q: suppose that x varies directly with z and z=12 when x=20 find z when x=40

A: Solution: Given that x varies directly with z .

Q: find the constant of variation for each of the stated conditions. r varies inversely as the cube of…

A: Given that r varies inversely as the cube of t and r=116 when t=4. To find the constant of…

Q: If P is inversely proportional to w, and P = when w = 19 what is P when w = 12' %3D 76

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The volume V of a gad varies inversely as its pressure P. If V = 40 cm^3 when P = 60 g/cm^2, find V…

A: According to the question volume V  is inversely proportional to pressure P.  Thus,  V1/ V2  = P2/P1…

Q: if s is proportional to t and s=63.7 when t=7 what is s when t=10?

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Q: If y varies inversely as x, and y=4 when x=12, find the constant of variation k, and then determine…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: find the constant of variation for each of the stated conditions. y varies directly as x and…

A: We have to find the value of constant of variation if y varies directly as x and inversely as z and…

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 60…

A: To Determine:  find the constant of variation for each of the stated conditions. y varies directly…

Q: If x varies directly as y, and x=21 when y=7, find x when y=9.

A: Givenx varies directly as y

Q: Find the z value that corresponds to the given

A: Given, The Z - value is calculated as follows: p(Z > z) = 0.0259  1 - p(Z < z) = 0.0259  p(Z…

Q: y varies directly as the nth power of x can be modeled by the equation

A: Giveny varies directly as the nth power of x can be modeled by the equation

Q: Suppose the quanity demanded per week of a certain dress is related to the unit price p by the…

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Q: Assume that y varies directly with w and inversely as x. If y=4 when x=12 and w=8​, find y when x=16…

A: Given :  y varies directly with w and inversely as x  If y=4 when x=12 and w=8​, find y when x=16…

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.