What is the mathematical sentence of the statement the heat is produced by an electric lamp varies jointly as the resistance R and the square of the current I?

What is the mathematical sentence of the statement the heat is produced by an electric lamp varies jointly as the resistance R and the square of the current I?

The formula of the statement is H=KRC2 .

What is the mathematical statement of the volume of a cylinder V varies jointly as its height h and the square of the radius r use K as constant of variation?

You can say that the area of the rectangle “varies jointly with the length and the width of the rectangle.” The formula for the volume of a cylinder, V=πr2h V = π r 2 h , is another example of joint variation. The volume of the cylinder varies jointly with the square of the radius and the height of the cylinder.

Does area of a circle vary directly as its radius?

The area of circle varies directly as the square of its radius. If the area of a circle with radius 7 centimeters is determined to be 49π square centimeters, then find the constant of proportionality.

What is K in variation?

y = kx. where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.

What is the constant of variation formulate the mathematical equation?

The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation. In this case, k=0.16 and n=1 .

What do you need to know to find the volume of a cylinder?

The formula to find the volume of a cylinder is: \displaystyle V = \pi \cdot r^2 \cdot h, where is the radius of the cylinder and is the height of the cylinder.

How do you rearrange cylinder volume?

The formula for finding the volume of a cylinder is V = πr2h, where V is the volume, r is the radius and h is the height of the cylinder. Rearrange the formula to solve for the height (h). Start with the formula for the volume of a cylinder. Divide both sides by to isolate h.

Why is the area of a circle directly proportional to its radius?

That is, the circumference of a circle is proportional to its radius, R; double R and you double C. The factor ‘2 pi’ is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

What will be the equation of variation if the area of a circle varies directly with its radius R?

A/r = k.

Where k is the constant of variation?

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.

How to use k as the constant of variation?

Use k as the constant of variation: 1. M varies jointly as p and q. 2. Y varies directly as x and inversely as the square SOLUTION: Translate each statement into a mathematical statement. Use k as the constant of variation: 1. M varies jointly as p and q. 2. Y varies directly as x and inversely as the square

How to find the constant of variation in a direct variation?

Constant of Variation The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is y = kx (or y = kx) where k is the constant of variation. Example 1: If y varies directly as x and y = 15 when x = 24, find x when y = 25. Find the constant of variation.

How to translate each statement into a mathematical statement?

SOLUTION: Translate each statement into a mathematical statement. Use k as the constant of variation: 1. M varies jointly as p and q. 2. Y varies directly as x and inversely as the square SOLUTION: Translate each statement into a mathematical statement.

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