In a high-precision manufacturing plant, Alex is an engineer responsible for creating a specialized lubricant blend using three components: Component X, Component Y, and Component Z, mixed in specific ratios to ensure optimal performance.The total volume of the lubricant blend must be divided such that the volume of Component Y is one-sixth of the total volume. The volume of Component X should be double that of Component Y, and the remaining volume should be allocated to Component Z. Write a program to calculate the volumes of X, Y, and Z based on the total blend volume.Input format :The input consists of a double value n, representing the total volume of the lubricant.Output format :The first line of output displays "Lubricant X: A ml" where A is the calculated volume of Component X, as a double value, rounded to one decimal place.The second line displays "Lubricant Y: B ml", where B is the calculated volume of Component Y, as a double value, rounded to one decimal place.The third line displays "Lubricant Z: C ml ", where C is the calculated volume of Component Z, as a double value, rounded to one decimal place.Refer to the sample output for formatting specifications.Code constraints :1.00 ≤ n ≤ 500.00Sample test cases :Input 1 :120.0Output 1 :Lubricant X: 40.0 mlLubricant Y: 20.0 mlLubricant Z: 60.0 mlInput 2 :300.0Output 2 :Lubricant X: 100.0 mlLubricant Y: 50.0 mlLubricant Z: 150.0 ml

A design team determines that acost-efficient way of manufacturingcylindrical containers for theirproducts is to have the volume, V,in cubic centimetres, modelled byV(x) = 9πx3 + 51πx2 + 88πx + 48π, wherex is an integer such that 2 ≤ x ≤ 8. Theheight, h, in centimetres, of each cylinderis a linear function given by h(x) = x + 3.a) Determine the quotient V(x)_h(x) andinterpret this result.b) Use your answer in part a) to expressthe volume of a container in the formπr2h.

For a volume of 125×125×64125×125×64 which of the following can be used to reduce this to a 125×125×32125×125×32 volume?

A manager must decide whether to make or buy a product component. Based on the following costs, what is the minimum volume required to justify making the component rather than buying it?   Make BuyFixed cost $50,000 noneVariable cost $8 $13 Multiple Choice6250 units16,667 units4545 units10,000 units

You have prepared a 2 M stock solution of an analyte you will be diluting to prepare your standard solutions.  What volume (in mL) will you need to add and dilute in a 250 mL volumetric flask to achieve a final concentration of 0.06 M?  Answer to 1 decimal place (Hint: C1V1=C2V2)

Context: Find the volume of the following parallelepiped, given the vertices of the 3d model: Front bottom right corner - (-2,4,5), front bottom left corner - (-2,1,4), back bottom left corner - (-5,1,4), front top left corner - (-2,2,7). use grade 12 knowledge Answer question