Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15? %3D Be sure to simplify your answer. y = %3D

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: In the electric currect flow, it is found that the resistance (measured in the units called ohms)…

A: Given that resistance offered by a fixed length of wire of a given material varies inversely as the…

Q: Suppose z varies directly with x and Inversely with the square of y. If z =.6 when r = 2 and y = 1,…

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Q: If y = (3r)-3#, then what is the value of x for which the percentage rate of change of y with…

A: We have to find the value of x when percentage rate of change is given

Q: Suppose that y varies inversely as the square of x, and that y=5 when x=16. What is y when x=6?…

A: Given, y varies inversely as square of x              ⇒ y ∝ 1x2

Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

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Q: can you solve this? y varies directly as x. if y =10 when x = 4. What is the constant of…

A: Solution of the problem as follows

Q: rate

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Q: The side of a cube increases at the rate of 3 m/s, when side of the cube is 8m . Then the rate of…

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Q: If a person learns y items in æ hours, as given by y = 19V2?, find the rate of learning for a person…

A: We need to find the rate of learning.

Q: Find the average rate of change of g (x) = 3x-2x from x 3 to x 7. Simplify your answer as much as…

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Q: [D] If y = 3x – 6x2, find the percentage error in y at x = 1 if error in x is 0.05.

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Q: The population of Turkey is increasing while the population of Hungary is decreasing. What constant…

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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: If x + y represents a motorboat's rate with the current, in miles per hour, its distance after 4…

A: If x+y represents a motorboat’s average velocity with the current, in miles per hour, its distance…

Q: If f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

Q: Given that y is inversely proportional to x and the fact that y = 23 when x = 15, determine the…

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Q: Suppose that y varies directly with x, and y=3 when x 15. (a) Write a direct variation equation that…

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Q: If y = 42x2 – 7x³ + x, what is the rate of change of y' at (1, 36)? Need Help? Read It

A: Rate of change of the function

Q: Find the average rate of change of h (x) = 2x² – 7x from x = 3 to r = 6. Simplify your answer as…

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Q: Where k is constant. If the temperature is increasing at 4 kelvins per hour, what is the rate of…

A: We need to find the rate of change of pressure  when temperature is 150K and pressure is 450…

Q: The velocity v of a falling object is directly proportional to the time t of the fall. If, after 2…

A: What will its velocity be after 3 seconds?

Q: Find the average rate of change of g (x)=x´ + 2x+2 from x=2 to x=7. %3D Simplify your answer as much…

A: The given function,   g(x)=x2+2x+2 from x=2 to x=7

Q: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

A: 1.The value of y and x vary together at a constant rate of change and the value of y = 1.5 and x =…

Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

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Q: Suppose M varies directly with S. If M is 900 when S is 500, which equation relates M to S?

A: Given : M varies directly with S

Q: Graph the line that represents a proportional relationship between ddd and ttt with the property…

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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: Several surveys in the United States and Europe have asked people to rate their happiness on a scale…

A: For those in one income group (making $25,000 to $55,000) it was found that their "happiness" was…

Q: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

A: Given,The constant rate of change of y with respect to x = -2.5.We know that,Slope = rate of change…

Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

A: represents the change in the average cost of a gallon of milk in the United States t years since…

Q: find the constant of variation k   p is inversely proportional to q. when q is 8, p is 20

A: Given that p is inversely proportional to q. That is, p = (k/q).Given that, the value of p is 20 and…

Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

Q: Suppose that y varies directly as the square root of x, and that y equals 12 when x= 36. Find x when…

A: y varies directly as the square root of x. y∝xy=kx where k=proportionality constant Substitute x=36…

Q: Find the average rate of change of g (x) = 2x-9 from x=9 to x= 13. Simplify your answer as much as…

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Q: If y varies inversely as x, what is the percent change in x when y is increased by 60%?

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Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when…

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: Suppose that y varies directly with x, and y= 15 when x=24. (a) Write a direct variation equation…

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Q: The volume V of a given mass of gas varies directly as the temperature T and inversely as the…

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Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: Suppose that y varies directly with x, and y=5 when x= 20. (a) Write a direct variation equation…

A: Given y varies directly with x means y is proportional to x ⇒y=kx

Q: Given the model y=3.2(2.4)^x, what is its rate of change?

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Q: Find the average rate of change of f (x) = 2x- 8x from x= 2 to x = 5. Simplify your answer as much…

A: We will find the average rate of change.

Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A:

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: For the linear equation y = 6.6 + 8.lx If x increases by 8, what is the resulting change in y?

A: Given: Interpretation of slope: For every one unit increase in x, the predicted value of y…

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                             ......…