Write a variation equation for the following statement (use k for the constant of proportionality): mvaries directly as the square root of n and inversely as the cube of p.

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: 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: Write a variation equation for the following statement (use k for the constant of proportionality):…

A: Explanation of the answer is as follows

Q: For Exercise, use a variation model to solve for the unknown value. The resistance of a wire varies…

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Q: In the given table, b is directly proportional to a. Find each missing value. a 4 19 b 12 15 ? ? for…

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Q: Express the statement as an equation. (Use k as the constant of proportionality.) H is jointly…

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Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

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Q: Find the mathematical model for the following statement. Remember to use k as the constant of…

A: We have to  find

Q: translate each statement of variation into an equation, and use k as the constant of variation. The…

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

A: * To write a general formula to describe the    varriation. F varries invensly with d2 .…

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: The time it takes to do a job is inversely proportional to the number of workers. If 8 workers can…

A: We have to find  no of days

Q: Write an equation that expresses the statement. y is proportional to s and inversely proportional to…

A: y is proportional to s and inversely proportional to t.

Q: 6. If k is constant, which of the following equations expresses an inverse variation? C.k= =kn B. x…

A: If p is directly varies as q, then it can be written that p∝q and if If p is inversely varies as q,…

Q: Nathan's graduation picnic will cost $15 if it has 3 attendees. If there are 4 attendees, how much…

A: The cost of Nathan's graduation picnic is C = $15 if it has 3 attendees. To evaluate : The cost of…

Q: The weight a suspension bridge can support, B, in tons, is directly proportional to the square root…

A: Given thatWeight of suspension bridge can support (B)= 1400 tonsWeight of bridge material (w)= 2100…

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: Write an equation that expresses the following relationship. u varies jointly with the square of p…

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Q: Given x = −24, y = 3.Find a direct variation model that relates y and x.

A: Given- x=-24 and y=3 To Find- A direct variation model that relates y and x.

Q: Find the mathematical model for the following statement. Remember to use k as the constant of…

A: topic - algebraic expressions

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: It is given that, x is directly proportional to square of y and inversely proportional to cube root…

Q: The average number of daily phone calls, C, between two cities varies jointly as the product of…

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Q: If y is directly proportional to x, and y = 56 ​when x = 6, what is the value of x when y =   84?​

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Q: Use the given value of k to complete the table for the inverse variation model Plot the points on 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: Given the following information, describe the variation. 2 4 5 20 y 10 4. 1 A Direct Variation…

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Q: 7. If y varies inversely as the square root of x, what is the constant of proportionality if y = 16…

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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: Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she…

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Q: Explain why each relationship is not proportional. (Explore Activity) 4. 0. 4 6 8 y 3 7 11 15 19 2-…

A: If 'y' is proportional to 'x' then it can be expressed as, Here, 'k' is a constant. 3. Given: x…

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: Write a general formula to describe each variation. T varies jointly with the cube root of x and the…

A: Given: Write a general formula to describe each variation.T varies jointly with the cube root of x…

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: Write a general formula to describe each variation. V varies directly with x3 ; V = 36π when x = 3

A: Given: V varies directly with x3;  V = 36π when  x = 3 To write: A general formula to describe each…

Q: y= C, x? + Ca e 2*

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Q: Write an equation that expresses the following relationship. u varies jointly with the square of p…

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Q: ccessfully increased the acc chine. How much greater is y of device 2 compared to

A: Reading of device 1 = 0.0001 Reading of device 2 = 0.0005

Q: The cost, $c, of laying floor tiles is directly proportional to the square of the area, a m2, to be…

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

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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: If a varies directly with the square of b, and b in turn varies inversely with d, if  a is 90 when d…

A: Given that, a varies directly with the square of b. b varies inversely with d. a is 90 when d is 5.…

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

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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: 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: Write an equation that expresses the statement. V is proportionalt to the product of l, w and h.

A: To write an equation that expresses the statement: V is proportional to the product of l, w and h.…

Q: If y varies directly with the square root of x and inversely with z, what is the constant of…

A: Given that, y varies directly with the square root of x and inversely with z. y α xz y=kxz…

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.