Let a varies jointly as the square of b and the 5th power of c. What is the formula?

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: Write a general formula to describe the variation. F varies inversely with d^2; F=18 when d=2

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Q: Write a general formula to describe the variation. F varies inversely with d2; F= 42 when d = 7 F =

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Q: If A varies directly as the square of e, and A = 225 when e = 5, find A when e = 10.

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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: Suppose z varies directly with y and directly with the cube of æ. If z = 112 when a = 2 and y = 7,…

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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: If p varies inversely with q and p = 5 when q = 6 , find the equation that relates p and q

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Q: Write a general formula to describe the variation. F varies inversely with d2; F= 6 when d = 3 II

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Q: Write a general formula to describe each variation. z varies directly with the sum of the squares of…

A: Given, z varies directly with the sum of the squares of x and y; z = 5 when x = 3 and y = 4…

Q: Solve for a. 7 V a

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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: write  a formula to describe F varies inversely with d2 F=32 when d=4

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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: Write a general formula to describe each variation. M varies directly with the square of d and…

A: Given :            M varies directly with the square of d and inversely with the square root of…

Q: Assume that a varies directly as the square of​ b, and a=16 when b=20​, find a when b=10.

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Q: If u varies inversely as the square root of v and u=6 when v=16, what is u when v is 36?

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Q: y varies jointly as a and​ b, and inversely as the square root of c. y=154 when a=11, b=7, and c=25.…

A: We will find out the required value.

Q: The value of P varies inversely with the square of x. When x=6, P=8. Fine the value of P when x=4.

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Q: fnd the elelope ŷ Mies 2. where 2

A: We have find Equation of Envelope.

Q: Assume that a varies directly as the square of b, and a = 16 when b= 12, find a when b 6. a

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Q: Suppose p varies directly  with the square root of q. if p=36 when q=16, find p when q=4.

A: From the given relation, p is proportional to sqrt(q), p = C . sqrt(q) where C is the constant. now…

Q: Write a general formula to describe each variation. F varies inversely with d2 ; F = 10 when d = 5

A: Given: F varies inversely with d2 ; F = 10 when d = 5

Q: Suppose that y varies directly as the square root of x, and that y=38 when x=81. What is y when…

A: Given,           y varies directly as the square root of x.

Q: Suppose that y varies inversely as the square of x, and that y = 8 when x = 6. Find y when x = 2.

A: Suppose y varies inversely as the square of x, where k is constant of proportionality.

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: Write a general formula to describe the variation. F varies inversely with d2; F= 24 when d = 3 F=0

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Q: What is the correct translation of the statement "m varies directly to a" if k is the constant…

A: a is directly proportional to b means a∝b a is inversely proportional to b means a∝1b If k be the…

Q: 6.) f ( t) = e "(3e" – 4)?

A: we have  to find the Laplace transform of the given function. f(t)=e^(-4t)[(3e^(3t)-4)^(2)]

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

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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: Write a general formula to describe each variation. The square of T varies directly with the cube of…

A: Given: The square of T varies directly with the cube of a and inversely with the square of d.…

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: Suppose that y varies directly as the square root of x, and that y=24 when x=256 . What is y when…

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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: Suppose that y varies directly as the square root of x, and that y=41 when x=25. What is y when…

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Q: Find a mathematical model for the verbal statement: "Q is jointly proportional to the cube of h and…

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Q: varies directly as the square root of h. When g = 7.2 and h = 16, find g when h = 9.

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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: Suppose that y varies inversely as the square of x, and that y=9 when x=14. What is y when x=9?

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Q: write a general formula to describe the variation  f varies inversely with d2, F=54 and d=9

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Q: Write a general formula to describe each variation. A varies directly with x2; A = 4π when x = 2

A: Here, we have to describe the general formula variation.  It is given that,  A varies directly with…

Q: Suppose that y varies directly as the square root of x,and that y = 16 when x = 4. Find x when y =…

A: y varies directly as the square root of x.  That is, y α x⇒y=kx   →1   where k is the constant of…

Q: Suppose that y varies directly as the square root of x, and that y=41 when x=16. What is y when…

A: Consider y varies directly to the square root of x. y∝xy=kx                             ......…

Q: What is the value of d if "d varies inversely with the square of= when k-2, and z-10"?

A: Given that: d varies inversely with the square of z.When k=2, z=10

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: Suppose  c  is inversely proportional to the square of  d. If  c=8  when  d=2⁢, find the constant of…

A: Given, c is inversely proportional to the square of d.

Q: As m varies inversely with the cube root of n, m=24 and n=8. Find n when m=60.

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Q: Suppose that y varies directly as the square root of x, and that y=39 when x=64. What is y when…

A: Given:  y∝x At x=64⇒y=39 To determine: The value of y when x=89.

Q: Use the given information to find the unknown value. y varies directly as the square of x. When x =…

A: y varies directly as the square of x. So, y=kx^2Given when x=3 then y=54. Plug them to find k.k=6

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.