find the constant of variation for each of the stated conditions. y is directly proportional to x and inversely proportional to the square of z, and y = 81 when x = 36 and z = 2.

Q: -If g is proportional to the square of t. If t=2 and g364, find g when t=3.5. If y varies directly…

A: If y is proportional to x then y = kx , where k is the constant of proportionality.

Q: If a substance decomposes at a rate proportional to the amount of the substance present, and the…

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Q: Given that s is proportional to t and the fact that s = 264 when t = 66, determine the value of s…

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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 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: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

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Q: Solve each of the following problems. If y is directly proportional to x and inversely proportional…

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Q: Suppose that y is directly proportional to x.  If y=6 and x=3, find the constant of proportionality…

A: Suppose that y is directly proportional to x. If y=6 and x=3, to find the constant of…

Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

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Q: -Find the average rate of change for y = xo = 1 %3D X1 = 2

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: Given the following find the rate for change between 4 and 7 of  f(x)=3x+2

A: To find rate of change between 4 and 7

Q: the voiime v of a fixed amount of gas. varies directly as the temp erature T and inversely as the…

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Q: If g(t) = 38t, then g is proportional to t. What is the constant of proportionality?

A: Definition: If y is praportional to x then there is a non-zero constant k(called proportionality…

Q: The rate of change of N is proportional to 20 + N(x), where N < -25. If N(0) = 10, and N(2) = 25,…

A: Given: The rate of change of N is proportional to 20+N(x), N&lt;-25. The value of N(0)=10, and…

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 T, and the line perpendicular…

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 90x – 0.5æ2…

A: A detailed solution is given below

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

A:

Q: The rate at which a ceratin disease spreads is proportional to the product of the percentage of the…

A: We have to find the rate R(t) at which disease spreads Constant of  Proportionality = 0.03 Percent…

Q: Find the average rate of change of g(x) = −3x^2+2 from x = −5 to x = −1. Simplify your answer as…

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Q: Given x = π, y = −1.Find a direct variation model that relates y and x.

A: Given: x=π ,y=-1

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

A:

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 that z varies jointly with the cube of x and the square of y. Find the constant of…

A: Solution- According to the question -  z α x3y2z=kx3y2…

Q: s) If the mass of an object is 2kg and its acceleration is find the variation constant, k, If the…

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Q: [a] Use the data from the table to find an approximation for R'(45).

A: We have to use properties of derivative.

Q: Given that h is inversely proportional to x and the fact that h = 15 when x = 21, determine the…

A: Given h is inversely proportional to x. So, h∝1x. i.e. h=k1x Where k is constant.

Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 700 when y…

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Q: X is inversely proportional to the square root of y and y is inversely proportional to the cube of…

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Q: If the constant of variation of h varies directly as k is 11, then what is h when k is 77?

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Q: Assume that r varies directly as P. what is the constant of proportionality if R equals three when P…

A: Given r varies directly as p . we find the constantof proportionality if r ⊂ 3 and p=15

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: proportional

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Q: If the rate of change of Q is inversely proportional to Q (where Q > 0), and if Q(0) = 250 and Q(2)…

A: Given rate of change of Q is inversely proportional to Q. We need to find the proportionality…

Q: When the Covid-19 vaccine is injected into a muscle, the muscle responds by contracting. The amount…

A: our objective is to find the concentration.

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

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Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 633.6 when…

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Q: If f(t) is measured in dollars per year and t is measured in years, what are the units of f(t)dr?…

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Q: Suppose that y is inversely proportional to square root of x. Find the constant of proportionality k…

A: Given : y is inversely proportional to square root of x

Q: Express the statement as a formula that involves the given variables and a constant of…

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Q: The rate of change of N is proportional to 20 + N(x), where N < −25. If N (0) = 10, and N(2) = 25,…

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Q: Find the average rate of change of the function over the given interval. y = Vx, [2, 8] 3 10 O 7 O 2

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Q: The rate at which yeast cells multiply is proportional to the number present. If the original number…

A: Given, The rate at which yeast cells multiply is proportional to the number present. the original…

Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

A: Given problem:- If the rate of change of Q is inversely proportional to Q where Q &gt; 0. If Q(0) =…

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: The value of y varies at a constant rate of change of 1.7 with respect to x. If x varies from x=3 to…

A: The value of y varies at a constant rate of change of 1.7 with respect to x. If x varies from x=3 to…

Q: If the rate of change of N is proportional to (10 + N), where N > -10. If N(0) = 4, and N(2) = 15,…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: 1. y varies directly as x with a constant of proportionality of 16.

A:

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: Let us suppose that r varies directly with ss.  If r = 10 when s = 5, then. the constant of…

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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.