z varies directly as the square of r
So z = cr2 where c is the constant of variation.
z = 24 when r = 4 ie 24 = c*42 so that c = 24/42 = 1.5
When z = 121.5,
121.5 = 1.5*r2 so that r2 = 121.5/1.5 = 81 so that r = -9 or +9
No the Earth's gravitational attraction is caused by its mass. It varies slightly because the Earth is an oblate spheroid not a sphere, and as a result of variation in the density of crustal rocks. The tilt of Earth's axis has no affect on gravitational attraction.
That varies depending on who the citizen is, their economic status, culture, and race. Even voting varies as each Canadian vote is not of equal value. Generally our system does not have citizens participating directly in our representative form of government.
A voltage DC(direct current voltage) is a uni-direction steady voltage. It is the opposite of an analog/alternative voltage which varies in polarity and direction with time.
Lake Ontario, the smallest of the great lakes, is 7340 square miles. Originally the surface of Lake Okeechobee in Florida was close to 2,000 square miles. That was before it was drained so crops could be grown on its bottom. It is now 730 square miles. Great Salt Lake varies from 3,300 square miles to 900 but averages around 1,700. Lake Illamma in Alaska i about 1,150 square miles. Lake Champlain has about 440 square miles. Great Slave Lake in Canada is 11,000 square miles but that is not in the US. Lake Winnipeg is 9500 Square miles but that is also not in the US.
No Canadian province has the same population density over its entirety. Even PEI with only a population of 140,204 people varies from 80.8 persons per square kilometre in the Charlottetown census agglomeration to 179.5 persons per square kilometre in the Summerside census agglomeration. Within the Charlottetown CA, Charlottetown (City) had a population density of 779.7 persons per square kilometre while Meadowbank is only 36.0 persons per square kilometre.
one quantity varies directly as the square of the other quantity. in symbols, y = kx squared
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Direct labor is direct cost as it varies with variation in production level and directly related with number of units of product.
If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864
Both are variations of certain kinds of equations. X=kY is a direct variation since X varies directly as Y and k is the constant of variation. X=k/Y is an inverse variation where X varies inversly as Y and k is the constant of variation. Both of these variations are also functions.
If y varies directly as x, then the graph of y against x must be a straight line through the origin.However, if y varies directly as the square of x, for example, then the graph of y against the square of x will be the straight line through the origin - not y against x.
The area of a square varies directly with the square of its side length.The kinetic energy of a body in motion varies directly with the square of its speed.Direct variation relations have the form y = kx where x and y are variables and k is a non-zero constant.examples :. D is proportional to T^2, so D = KT^2, where K is a constant. Since K = 1/2, D = (1/2)T^2B. When D = 256, 256 = (1/2)T^2T^2 = 256*2T = 16sqrt(2), or approx 22.6 secondsC. D = (1/2)*5^2 = 12.5 feety=mx+b* * * * *No, that is a linear variation. Direct variation is y = mx. For a direct variations, both variables must be 0 together.direct square variation is a function that relates the same or equal constant ratio.one quantity varies directly as the square of the other quantity.in symbols, y = kx squareda direct variation question is like this y=kx (its straight forward where as a partial variation question is like this y= mx + b the B is another PART of the equation so a direct varition question could be 10=5(2) y=kx
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
Direct variation refers to two variable quantities have a constant (unchanged) ratio, in which a variable "varies directly with the other."In order to have a direct variation, the constant of variation must be not equal to 0 in the equation y=kx, where k is the constant.When you try to put 2x+3y=0 into that formula (y= form), you get:2x+3y=03y=-2x ;Subtract the 2xy=(-2/3)x ;Divide by 3Your constant of variation is -2/3, and since it is less than 0, it is does variate directly. Therefore, y varies directly as x.
a varies directly as b and a = 12 when b = 4. What is the constant of variation?
It is f(x) = 6*x
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9