# A quantity x varies directly with the cube of y and inversely with the square root of z. If x = 457.33333333333 when y = 7 and z = 9, find x when y = 6 and z = 4

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1. ### math

A quantity x varies directly with the cube of y and inversely with the square root of z. If x = 457.33333333333 when y = 7 and z = 9, find x when y = 6 and z = 4.
2. ### math

t varies directly as the square root of l. If l=81, then t=10 what is the constant proportion? 1. a is directly proportional to b. If a = 15, then b = 9 2. M varies directly as n. If n = 2/3, then m = 1/4 3. T varies as the square root of L. If L = 81, then T = 10 4. Z is ...
3. ### variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s and the square of t. -I got: r=ks^2t^2 Find ...
4. ### variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s and the square of t. -I got: r=ks^2t^2 Find ...
5. ### Math

DIRECT VARIATION 1. a is directly proportional to b.If a=15,then b=9 2. m varies directly as n.If n=2/3,then m=1/4 3. T varies as the square root of L. If L=81,then T=10 4.r varies directly as the square of t. If t=16,then r=6. 5. y varies as the cube foot of x. If x=27,then y...
6. ### Variation-Check Problems

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s and the square of t. -I got: r=ks^2t^2 Find ...
7. ### Check my answers. Algebra

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s and the square of t. -I got: r=ks^2t^2 Find ...
8. ### Inverse Variation

Help me please.. Explain also :( 1. E is inversely proportional to Z and Z = 4 when E = 6. 2. P varies inversely as Q and Q = 2/3 when P = 1/2. 3.R is inversely proportional to the square of I and I = 25 when R = 100. 4. F varies inversely as the cube root of S and S = 64 when...
9. ### Math/Algebra

Im stuck on two problems and would really appreciate the help. 1. y varies jointly as a and b, and inversely as the square root of c. y=28 when a=2, b=7, and c=9. Find y when a=4, b=2, and c=4 2. y varies directly as x and inversely as the square of z. y=24 when x=27 and z=3. ...
10. ### Algebra II

If y varies directly as the square root of w and inversely as the cube of x, by what factor will y change if w is tripled and x is halved?
11. ### Alegra II

If y varies directly as the cube of x and inversely as the square root of w, fill in the missing values in the table. I need help finding the answers w x y 1.27 ? 3.05 ? 5.66 1.93 4.66 2.75 3.87 7.07 1.56 ?
12. ### Algebra joint, inverse and direct variation

Urgent! If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find t when z=6 and r=9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and ...
13. ### Algebra

If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find 9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and inversely as its length. The ...
14. ### Algebra

If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find 9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and inversely as its length. The ...
15. ### Pre Cal

If x varies directly as y62, inversely as z, and inversely as the square root of w, what happens to x when y is multiplied by 3, z is doubled, and w is quadrupled? I would really appriciate it if someone could help me understand how to do this problem. Thank you!
16. ### Intermediate Algebra

y varies directly as the cube of x and inversely as the square of z. If y is 30 when x is 2 and z is 4: b) Find the equation that models this data. c) Find the value of y when x is 3 and z is 2.
17. ### Math

The quantity A varies directly as the cube root of P=8 when Q=2/3
18. ### Pre-Algebra

If y varies directly with x, find the constant of variation with x = 4 and y = -24 If y varies inversely with x, find the constant of variation with x=5 and y = 10 If y varies directly with x, and y = 35 when x = 5 , find x when y = -7 If y varies directly with x, and y = -12 ...
19. ### Algebra 2

Find the A) Constant of Variation, B) the Equation of the Variation, and the C) the Solution Suppose B varies directly with C and inversely with D and the cube root of A. B = 4 when A = 27, C = 2, and D = 5. Find B when C = 3, A = 64, and D = 6.
20. ### math

W varies directly to the squard of a and inversely as the square root of d
21. ### precalculus

the variable j varies jointly as the square of h and as the cube root of a, and it varies inversely as s. What happens to j when h is doubled, a is multiplied by 8, and s is multiplied by 4?
22. ### Pre Cal

Ooops! I wrote it wrong, here's the problem: if x varies directly as y^2, inversely as z, and inversely as the square root of w, what happens to x when y is multiplied by 3, z is doubled, and w is quadrupled? I would really appriciate it if someone could help me understand how...
23. ### precalculas

If y varies inversely as the cube root of x, and y = 12 when x = 8, find y when x = 1.
24. ### Algebra II

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, m is 4 and the product of r and x is 8. What is the constant of variation?

-PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT PLEASE. *CHALLENGE. 1.SIMPLIFY : SQUARE ROOT OF 16^8+8^4/16^2+16^7 2.EXPRESS 1 + 1/1+SQUARE ROOT OF 2 - 1/1-SQUARE ROOT OF 2 IN THE FORM A+B SQUARE ROOT OF 2, WHERE A AND BARE RATIONAL NUMBERS. FIND A + B. 3. ARRANGE THE ...
26. ### algebra

Express the statement as a formula that involves the variables w, z, u and a constant of proportionality k, and then determine the value of k from the condition : w varies directly as z and inversely as the square root of u, if z = 3 and u = 4, then w = 18
27. ### college math

A quantity, W, is directly proportional to x and the square of y and inversely proportional to the cube of z. W-3 when x=4,y=2 and z=4. What is the value of w, when x=5, y=5 and z=4. Give answer to three decimal places. Thanks so much!
28. ### Precalculus

m varies directly as the cube of n and inversely as g
29. ### college math

A quantity, W, is directly proportional to X and the square Y, and inversely proportional to the cube of Z. W=3 when X=4, Y=2 and Z=4. What is the value of W when X=8, Y=9 and Z= 6? Give answer to 3 decimal places. Thanks in advance! I appreciate all the help! :)
30. ### Calculus AB

Please help me with this WS 1) Find the value of lim as x-->-(square root of 3) of (-x^4 + 5x^2 -6)/(x+(square root of 3) 2) Find the distance between the discontinuities of g(x)= ((square root of x-4))/(x^2 -5x -1) 3)Find the value of x at which the curve y=(x^2 - 4)/(x^5...
31. ### Math102

If x varies directly as y and y varies inversely as the square of z. How is x varies with z?
32. ### Algebra 2- Variation

If w varies directly as r and inversely as the square of p, if w= 25 when r=5 and p=4, find r when w=16 and p=8
33. ### math

p varies directly as the square of m inversely as n. if p =200 when m=5 and n=1/2 find p when m=6 and n=2
34. ### Inter. Algebra

Count Iblis how do you simplify 3square root sign with this underneath (3x squared y) to the third power? "3 square root sign" probably means "cube root", in which case [(3 x^2y)^3]^(1/3) = 3 x^2 y The cube root of any quantity x can be written x^(1/3)
35. ### math

a variable y varies directly as the square root of a varies x,and equals 6 when x=4 find y when x=25
36. ### Algebra 2

Find an equation of variation where y varies directly as x and inversely as the square of w, and y=24 when x=8 and w=3.
37. ### Algebra 2

Find an equation of variation where y varies directly as x and inversely as the square of w, and y=24 when x=8 and w=3.
38. ### algebra

I do not know where to start with this one. Suppose p varies directly as the square of z and inversely as r. If p = 32/5 when z = 4 and r = 10, find p when z = 3 and r = 36.
39. ### Math-Algebra

1. The surface area of a cube varies directly as the square of its edge. Find its surface are. 2. A certain object traveling at 24 meters per second has a kinetic energy of 72 joules. If the kinetic energy of that object varies directly as the square of its velocity, find the ...
40. ### Calculus

Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me. Help please! a) 5th ...
41. ### Calc

Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me. Help please! a) 5th ...
42. ### math

p varies directly as q and the square of r and inversely as s write the equation of the relation find k if p=40 q=5 r=4 s=6 find p when q=8 r=6 and s=9 find s when p=10 q=5 r=2
43. ### algebra

First: solve for k. Then, go back to the original equation c=k(d-3) and solve for c when d is ten. Second: Area=k*s^2 Put in the fist conditions, solve for k. Then, knowing k, solve for A when is eight. direct variation 1)if c varies directly as d-3, and if c=16 when d=7, find...
44. ### College math

I really need to know the answer to this extra credit problem. Please help! A quantity, W, is directly proportional to X and the square of Y and inversely proportional to the cube of Z. W=3 when X=4, Y=2 and Z=4. What is the value of W when X=8, Y=9 and Z=6? Give answer to 3 ...
45. ### math

If p varies as the cube of and q varies directly as the the square of r what is the relationship between paund r
46. ### math

I'm having a little trouble solving inverse variation. I have four problems - 2 are solved using proportions, 2 are not --- why can they not all be solved using proportions? 1. y varies inversely with x. If y = 40 when x = 16, find x when y = -5 If I use a proportion for that...
47. ### Algebra II

1. If y varies directly as x, and y=30 when x=4, find the constant of proportionality. 2. If y varies inversely as x, and y=2 when x=10, find x when y=4. 3. If a varies jointly as b and c, and a=-10, when b=12 and c=2, find a when b=8 and c=1/2.
48. ### munali boys

If y varies directly as square of x and the square root of z and y=3 when x=4 and z=9,find the value of y when x=3 and z=16
49. ### math

Write the variation and find the quantity indicated. F varies jointly as q1 and q2 and inversely as the square of d. If F=12 when q1 =3, q2=9 and 9=3 The variation of F=
50. ### math

p varies directly as the square of q and inversely as r when p=36, q=3 and r=4 calculate q when p=200 and r=2
51. ### Math

If p varies directly as the square root of r and p=3.2 when r=4,find p when r=6.5
52. ### Variation

I have few questions that I need checked please and could you help me with the last question? Write an equation that expreses the relationship. Use k as the constant of varaiation. 1. s varies directly as h -I got: s=kh 2.a varies directly as the square of m. -I got: a=km^2 ...
53. ### ALGEBRA

The quantity y varies directly with the square of x. If y = 3 when x = 9, find y when x is 11. Round answer to the nearest hundredth.
54. ### gse 122

(1) y varies partly as D an partly as the cube root of D.when Y=6, D=27 an when Y=11,D=1/8.find Y when D=3. Correct to 2 decimal point. (2) using completing the square method find the root of the equation 8x+6x-5=0
55. ### intermediate algebra

Y varies directly with square root of X. Y=3 when X=4. find Y when X=1
56. ### math

P varies directly as the square root of q. P=8 when q =25 find p when q = 100

If c varies directly as the square root of d, and c = 14 when d = 64, find c when d = 324.
58. ### algebra 2

If Q varies inversely as the square root of R and Q=2 when R=4, what is Q when R is 25? does Q=625 im not sure can someone double check it for me.
59. ### Algebra

Write an equation that expresses the following relationship. U varies directly with the cube of P and inversely with D. In your equation,use K as the constant of proportionality.
60. ### Math

I'm having trouble understanding when I am supposed to add absolute values when simplifying radicals. (It's cube root not square root) XER and YER because it's a cube root and you can take cube root of negatives and positives. √-108x^7y^9 = √-27•4•x^6•x•x^9 = -3x^...
61. ### Algebra

I need help on these kinds of radical problems. Once I get the examples solved, I think I can do others. 1. What is the solution to the square root of -9? No solution, yes or no? 2. The square root of: 6x/3x? The answer is 2? 3. The square root of -0.01? No solution? Is there ...
62. ### math

What does it mean to have the sqaure root of 5 with a 2 in front of it? How do you figure it out? 2 sqrt 5 is two times the square root of 5. It depends where the 2 is placed wrt the square root symbol. If it is on the same line as the square root symbol, then this means 2 ...
63. ### ALGEBRA

1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(x - 4) C. (x + 2)(x - 12) D. (x + 12)(x - 2) 2, x^2 - 36 = 0 A. (1 + square root of 3, 1 - square root of 3) B. (-6,6) C. No solution D. None of these 3, Factor each expression 49 x^9 - 25 y^2 A. (7x^2 - 5y...
64. ### Calc

Write the summation to estimate the area under the curve y=2+sqrt(x) from x = 2 to x = 5 using 3 rectangles and right endpoints. ~the summation from i equals 2 to 5 of the quantity 2 plus the square root of i ~the summation from i equals 2 to 4 of the quantity 2 plus the ...
65. ### Math

Write an equation to describe the variation. Use k for the constant of proportionality. x varies directly as the square of y and inversely as z
66. ### Math

I can not find the solutions to the following problems using 2 methods: algebraically and geometrically. 1. X with the square root of 2 =9 2. X with the square root of 3 =27 3. X with the square root of 4 =27 --Note: Fourth root I'm not sure what you mean by "1. X with the ...
67. ### Variation-Questions

I have some questions that I don't understand and need to be checked please? Slove the problem. 1. y varies directly as z and y=187 when z=17. Find y when z=15 -This is how I did it: 187=k*17, I divided by 17 on both sides and got k=11, then I plugged it back into the equation...
68. ### math

If y varies directly as the square root of x and y = 47 when x = 49, find y if x = 2401. (Round off your answer to the nearest hundredth.)
69. ### Math

i see were u got that from but this 1 is confusing. 6 (index 3) square root of 36 times 2 (index 3)square root of 6 Please use the following for roots: sqrt cubroot etc. Those, with parenthesis, make the problem clear. 6 cube root of 36 times 2 cube root of 6 6 cubrt 36 + 2 ...
70. ### Variation

Please check my work, the answer I am suppose to get is 17.5, but instead I got 2.5. Solve the problem. 66. y varies jointly as a and b inversely as the square root of c, y=24 when a=6,b=4, and c=49. Find y when a=2, b=5, and c=16. -I got: y=kab/ sqrt of c, y=2*5/ sqrt of 16, ...
71. ### Math

Hi i was wondering what the square root of 3 times the squareroot of 9 is with little 3's on on the outside of the square roots for each of them ( the index) sqrt3 *(sqrt9)= 3sqrt3 Is that little 3 a cube root sign? If so, then a number to the 1/3 power is the same as the cube...
72. ### Math

This is regarding direct variation. y varies directly as the square of R. If y = 128 when R = 8, find y when R = 5. Another one I cannot figure out: If x varies directly as y, and x = 32 when y = 8, find x when y = 10 Help!
73. ### Algbra 2

If Z varies directly as X and inversely as Y, and Z = 9, when X = 5 and Y = 3, find X when Z = 18 and Y = 6
74. ### Math

A quantity p is partly constant and partly varies inversely as a quantity q,given that p=10 when q is 1.5 and p=20 when q=1.25 find the value of p when q =0.5
75. ### Economics

If demand is price elastic, total revenue is a.directly related to quantity demanded b.inversely related to quantity demanded c.directly related to price d.directly related to price and inversely related to quantity demanded e.not related to either price or to quantity demanded
76. ### algebra

1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong---> - square root of six is not a solution Hope this Helps! 1)find p(-3)if p(x)=4x^3-5x^2+7x-10 =-184 2)If r(x)=4x^2-3x+7,find r(3a^2) =12a^4-9a^2+7 3)Write the ...
77. ### Math help

9). Hooke’s Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 29 cm when the weight is 4 kg what is the distance when the weight is 9 kg? 10). Find the variation constant and an equation of ...
78. ### Math Help!

Four students worked to find an estimate for square root 22. Who is closest to finding the true estimate? A. Tiffany: "Use square root 16 and square root 25 to estimate." B. Todd: "I use square root 9 and square root 16." C. Trenton: "It should be square root 21 and square ...
79. ### Pre-Calc

1.) Suppose that y varies directly as x. If y is 5 when x is 30, the constant of variation is 150. True Or False 2.) If w varies directly as z and w = 9 when z = -6, find w when z = 3. 3.) If y varies directly as x and y = 2 when x = 4, find x when y = 4.

#1. The pressure P of a compressed gas is inversely proportional to the volume V. If there is a pressure of 35 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 100 square inches. #2. A frictional force is ...
81. ### Math Word Problems

#1. The pressure P of a compressed gas is inversely proportional to the volume V. If there is a pressure of 35 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 100 square inches. #2. A frictional force is ...

how do u simplify radical expressions such as cubed root of 125t^6w^2 4 125 has a cube root of 5 t6 has a cube root of t2 so you are left iunder the radial w2</sup square root of a equals 10...I don't understand how to find the answer
83. ### math

Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: it should be between square root 25 and square root 36." Riley: "i use square root 36 and ...
84. ### College Algebra

y varies directly as the third power x and inversely as Z. If y=16 when x=4 and z=8,find y when x=9 and z=6
85. ### algebra

i need help with my math problem: x varies directly as the square of s and inversely as t. how does x change when s is doubled? when both x and t are doubled?
86. ### Quick calc question

Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the quotient of 1 and the...
87. ### Math

Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square root of 90)= (This is where i am stuck...
88. ### Algebra

Simplify ..... 1. the square root of the cube root of 49a^2z^4 2. the fourth root of (d-3e)^2 3. the square root of the the square root of 16b^12c^4
89. ### math

Four students work to find an estimate for square root 54. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: "I use square root 25 and square root 36." Riley: "It should be between square root 36 and ...
90. ### Math

Four students work to find an estimate for square root 27. Who is closest to finding the true estimate? (1 point) Chelsey: "Use square root 16 and square root 25 to estimate." Carley: "I use square root 25 and square root 36." Jamie: "It should be between square root 36 and ...
91. ### Phase Transformation

Change in Gibbs free energy is _____ related to interfacial energy and _____ related to radius of precipitate. directly, inversely inversely, directly directly, directly inversely, inversely
92. ### College Algebra help please

I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each denominator. Assume all ...
93. ### College Algebra

I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each denominator. Assume all ...
94. ### College Algebra

I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each denominator. Assume all ...
95. ### Mathematic

. The number of vibrations per second made when a stretched wire is plucked varies directly as the square root of the tension in the wire and inversely as the length. If a 1.23 m long wire will vibrate 325 times each second when the tension is 115 N, determine the number of ...
96. ### algebra1

M varies directly with n; m=144 when n=8. What is the constant of variation k? I don't know what this mean. Could you help me out in solving this/ A statement such as "M varies directly with n" can be changed to the equation M=kn, where k is a constant. since you are given the...
97. ### Math

1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9." Andrea: "It should be square root 11 and ...
98. ### plz help math

solve variation problem. if y varies directly as x and inversely as m^2 and r^2 and y=5/3 when x=1, m=2 and r=3, find y when x=3, m=1 and r=8
99. ### Pre-Algebra

How does finding the square root of a number compared to finding the cube root off a number use number 64 in your explanation. xx check my answer ;3 the square root of a number is a number which when multiplied twice by itself gives the number that was used to find such. &#...
100. ### Algebra

Suppose that y varies directly with x and inversely with zy=25 when x=35, and z=7. Write the equation that models the relationship. Then find y when x=12 and z=4 Help me!?