1. The quantity y varies directly with x and y, if y=5, when x=2, and z=4, find z when y=10 and x=15. 2. If y varies directly as x and inversely as z, and y=21 when x=35 and z=5, find x when y=15 and z=12.

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: 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: The simplest model of malaria assumes that the mosquito population is at equi- librium and models…

A: The transmission dynamics of infectious disease is modeled through a first-order differential…

Q: 15. The constant of proportionality involved in the direct variation of b with c, is 1.2. What is…

A: In this question, c is independent variable where as b is dependent variable. Given, b is directly…

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

A:

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

A:

Q: 1. a) Consider a cylinder with a radius of 5cm and a height of 12 cm. Find the change in the volume…

A:

Q: If x  is inversly proportional to the cube of T and X=54, when T=3, find An equation for T interms…

A: X= K/T^3 Is the equation

Q: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

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: Suppose that y is inversely proportional to a. Find the constant of proportionality k if y = 16 when…

A: Constant

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. Jill…

A:

Q: Let y be inversely proportional to x. If y=12 when x=3, find the constant of proportionality k.…

A: We have to find k

Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

A: Let the average cost C of producing a machine be denoted by: C=a+bn where C=Cost, a= Fixed cost, b=…

Q: Suppose that y is directly proportional to x. 1) Find the constant of proportionality, k, if y =…

A: Given : y is directly proportional to x.   To find the constant of proportionality k, if y = 48.6…

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

A:

Q: If the rate of change of R is inversely proportional to R(x) where R > 0, and if R(1) = 35, and R(4)…

A:

Q: 15. Suppose y is directly proportional to x and y = 20 when x = 4. Find y when x = 22.

A:

Q: 2. For a substance C, the time rate of comversion is proportional to the square of the amount x of…

A:

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: This question is based on linear equation.As per given condition in question we form a equation.bio

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

A:

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

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

A:

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: The number of phone calls between two cities, N, during a given time period varies the directly as…

A: The relation may be established as,   Remove the proportionality sign and replace it with a…

Q: proportional

A:

Q: (a) decreased by 27.1%, It is given that y is inversely proportional to x. When x = a, y = 8; when x…

A: Given,        y is inversely proportional to x. When x=a, y=8; when x=b, y=10.

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

A:

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

A:

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

A:

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) (3 marks). A 5ft tall…

A:

Q: The value of y varies at a constant rate of change of 1.6 with respect to . If a varies from z = 2…

A:

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: The time taken to built the highway is directly proportional to length     t   ∝  L And inversely…

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

A:

Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 468 when…

A: a) Find the constant of proportionality k if z = 468 when y = 10 and x = 18. z=k*x*y 468=k*10*18…

Q: X and Y are inversely proportional with each other. Given that X = 15000 when Y = 162500. Find X…

A:

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: Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the…

A: Rate of increasing height of the water in a tank= 3.7 cm/min, Time (in min) Height of water (in…

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A:

Q: For problems 28-31, assume that x = x(t), y = y(t) and z = z(t). Differentiate the given equation…

A: Differentiate the function with respect to t

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 > 0. If Q(0) =…

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

A:

Q: Suppose that y is directly proportional to a. 1) Find the constant of proportionality, k, if y =…

A:

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A: Consider F=πpr48ηlGiven: ∂rr=0.05              ∂ll=0.05              ∂pp=-0.10…

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

A:

Q: Suppose that z varies jointly with x and y . Find the constant of proportionality k if z = 136.8…

A:

Q: 1.) The number of hours h that it takes m men to assemble x machines varies directly as the number…

A: according to question, about the first machine number of hours to assemble , h1=4 hour number of…

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given that a line represents a relation between 'd' and 't'   such that   as 't' increases by…

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.