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If values for x and y vary inversely, this means that as one value increases, the other value decreases and vice versa. This relationship can be represented by the equation xy = k, where k is a constant. This means that the product of x and y remains constant throughout the changes in their values.
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What is the term that refers to the opposite of a variable?
The term that refers to the opposite of a variable is its additive inverse. This means that for a variable x, its additive inverse is -x.
How do you set up a proportion to convert miles to yards?
To set up a proportion to convert miles to yards, you can use the relationship that 1 mile is equal to 1,760 yards. This can be written as the proportion: 1 mile / 1,760 yards = x miles / y yards. You can then solve for x (the number of miles) by cross-multiplying and dividing.
Which phenomenon is inverse of photoelectric effect?
The inverse of the photoelectric effect is the Compton effect, where a photon interacts with an electron and loses energy in the process. This results in the photon scattering off the electron with a longer wavelength.
How many moles of no2 are present in 138.08?
Assuming you mean 138.08 grams, you set up a direct proportion between the molar mass of NO2 and your given mass. NO2 comes in at 46g/mol (14+16+16), and your proportion should be 46/1=138.08/x. Solve for x to get approx. 3 moles.
If 80 ounces treats 10000 gallons then how many ounces treat 4000 gallons?
To find out how many ounces treat 4000 gallons, you can set up a proportion based on the relationship between ounces and gallons. 80 ounces is to 10000 gallons as x ounces is to 4000 gallons. Solving this proportion, you can find that x = (80 * 4000) / 10000 = 32 ounces.
What do you know about direct proportion and inverse proportion?
direct proportion: y=kx inverse proportion: y=k/x
What is an inverse proportion?
Two variables are said to be in inverse proportion if their product is a constant.So, if X and Y are in inverse proportion, thenXY = k or Y = k/X for some constant k.If you double X then Y is halved. If you decrease X by a factor of 3 then Y is trebled.A common example is Speed and Time for covering a fixed Distance.
Graph of an inverse proportion is an?
The graph of the function y(x) = 1/x is a hyperbola.
What is an inverse proportion relationship?
An inverse proportion between two variables is when the value of one variable increases, the other decreases. Mathematically, this is shown as: x = k / yn where x and y are the two variables, and k and n are constants.
In inverse proportion x equals 2 and y equals 36 but what will y be when x equals 4?
Inverse proportion implies xy = c where c is the constant of [inverse] proportionality. x = 2 and y = 36 implies xy = 72 = c So the relationship is xy = 72 Then, if x = 4, y = 72/x = 72/4 = 18
How do you determine direct and inverse proportion on graphs?
If the variables x and y are in direct proportion then the graph of y against x is a straight line through the origin. If the variables x and y are in inverse proportion then the graph of y against x is a rectangular hyperbola. Alternatively, the graph of y against 1/x (or 1/y against x) is a straight line through the origin.
In an inverse relationship how do the values of y change as the values of x increase?
Y would decrease in value as X increases in value.
In an inverse relationship how do the values of y change as the values of x is decreased?
The value of y increases, such that x*y remains a constant.
Relationship between variables in direct proportionality and inverse proportionality?
Variables X and Y are in direct proportion is Y = c*X for some constant c (not zero). Then X increases whenever Y increases and conversely. Y increases by c times the increase in X. Variables X and Y are in inverse proportion is X*Y = k for some constant k (not zero). Then X increases whenevr Y decreases and conversely.
If y14 then x8 find y when x12?
It is not possible to answer the question since there is no information as to whether the relationship between x and y is one of direct proportion, inverse proportion or something else.
What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
Definition of indirect proportion?
Indirect proportion is more famously known as Inverse Proportion. Inverse proportion is the exact opposite of Direct Proportion. Inverse Proportion -As one quantity increases other quantity decreases. An example problem: If 4 painters can paint a house in 6 days then how many days can 8 painters paint a house of the same size? To solve, use cross product 4 painters=6 days 8 painters=x 4x6=24 24/8=3 To paint the same house,8 painters need 3 days.
