Suppose that y varies directly as the square root of x, and that y=38 when x=81. What is y when x=51?

Q: Suppose that y varies inversely as the square of x, and that y=5 when x=10. What is y when x=12?…

A: Given,  y varies inversely as the square of x

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

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: estion 5 of 6, Step 1 of 1 Correct nd a model for the Body Mass Index (BMI) of a person, given that…

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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: The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the…

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Q: Suppose that y varies inversely as the square of x, and that y=4 when x=2. What is y when x=6? Round…

A: y ∝ 1x2 y = kx2 k = yx2         ............................(1)

Q: Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is…

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Q: Solve for x accurate to three decimal places.

A: Given equation is                            50e-x=30

Q: The value V of a machinet years after it is purchased is inversely proportional to the square root…

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Q: A certain drug breaks down in the human body at a rate of 12% per hour. The initial amount of the…

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Q: If N is the average number of species found on an island and A is the area of the island,…

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Q: Suppose that y is inversely proportional to the 4th power of x, and that y=18 when x=7. What is y…

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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: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Let: h = altitude A = area b = base   Given data: The altitude of a triangle is increasing at a rate…

Q: distance s that an object falls varies directly with the square of the time, t, of the fall. If an…

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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 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: Solve for x accurate to three decimal places. eln x = 4

A: Solve the given equation. elnx=4lnx=ln4x=4

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

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Q: Solve for x accurate to three decimal places. 3909 3

A: Steps to calculate the value of x are shown on board

Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: Given expression is D=3000.98t where D is the temperature difference between the oven and the potato…

Q: If e5z 16, then x Round your answer to at least three decimal places.

A: Please refer the attached image for complete solution. THANK YOU.

Q: A computer, using data from a refrigeration plant, estimated that in the event of a power failure…

A: The temperature in the freezer after t hours of power failure is given by, C=5t0.04t+1−35 To find…

Q: we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: GivenInitiall potato temp = 75° oven temp = 375°difference = 375-75difference =300°D = 300 x 0.98tD…

Q: Suppose that y varies inversely as the square of x, and that y=2 when x=5 . What is y when x=17

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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: 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 y is inversely proportional to x. Explain what happens to y if: a x is doubled b x is…

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Q: The distance s that an object falls varies directly with the square of the time, t, of the fall. If…

A: Given that an object falls at a distance S With the square of time t The relation between distance…

Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

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

A: Given: Resistance R1=0.422 ohm Diameter D1=0.01 inches Given resistance offered by a fixed length…

Q: A salesperson purchased a car that is advertised as getting 2 times as many miles per gallon of…

A: Let the miles per gallon of gasoline in city be 'x' ∴ The miles per gallon of gasoline in highway…

Q: The volume V, in liters, of air in the lungs during a four-second respiratory cycle is approximated…

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Q: z is jointly proportional to the square of x and the square of y. If z=364 when x=6 and y=5, find z…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Let us take

Q: The half-life of a radioactive substance is 37 hours. If f ( t ) = a e ^ k t gives the amount of…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: Please answer the attached question. Thanks a lot

A: Given that the volume V is inversely proportional to the pressure P on the gas.The mathematical…

Q: Solve for x accurate to three decimal places. In(Vx + 9) = 4

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Q: If an average-sized man with a parachute jumps from an airplane, he will fall 12.5(0.2t − 1) + 21t…

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

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Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

A: The given problemis from Newton's law of cooling.Form a differential equation of the given situation…

Q: Correct Suppose that y varies directly as the square root fx, and that y = 42 when x = 400. What is…

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Q: A type of radioactive element has a daily radioactive decay rate of 0.5%. If 14 pounds of this…

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

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Q: The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of…

A: Solution is done in step 2

Q: ) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents hear ne…

A: Solution The total population of the city is 150, 000. Let the number of people who have heard the…

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.