Write a formula showing the dependence of the mass of a piece of cork on its volume, if the density of cork is 0.18g/cm3. using the formula, find the mass of a piece of cork with a volume of 240 cm3

The mass of a piece of cork with a volume of 240 cm³ is 43.2grams

The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:

m is the mass of the substance

v is the volume of the substance

Given the following parameters

Density = 0.18g/cm³

Volume = 240cm³

Substitute the parameters into the formula to get the mass:

Hence the mass of a piece of cork with a volume of 240 cm³ is 43.2grams

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43.2 grams.

Step-by-step explanation:

We are asked to write a formula showing the dependence of the mass of a piece of cork on its volume.

We will use density formula to solve our given problem.

Therefore, the mass of piece of cork is 43.2 grams.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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