Please show all steps of your work on the text box below (wo…

Please show all steps of your work on the text box below (work shown on the scratch paper is NOT graded). Consider the following sets.  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}P = {1, 2, 4, 7, 8}Q = {2, 3, 5, 8, 10}R = {1, 3, 4, 6, 8} (P U Q) ∩ R P’ ∩ R What regions (e.g. 1, 4, 8) of the following Venn diagram would be shaded for (P U Q) ∩ R?

Please show all steps of your work on the text box below (wo…

Please show all steps of your work on the text box below (work shown on the scratch paper is NOT graded). Use the ceiling and floor function to determine the following values:a) There are y passengers waiting to board a train. The train can hold up to 88 passengers per trip. How many trips are required to transport all the passengers? b) Jason has x pens and wants to give 4 pens to each friend. How many friend will receive the full number of pens?

Please show all steps of your work on the text box below (wo…

Please show all steps of your work on the text box below (work shown on the scratch paper is NOT graded). Consider three functions f, g, and h, whose domain and target are Z. Let f(x) = x3 – 1, g(x)= 3x + 2, h(x)= |x – 3|. Evaluate the following.  a. Evaluate (f ο h) (27) b. Evaluate (g ο h ο f) (10) c. Give a mathematical expression for (h ο g o f)

The following graph shows the progression of a reaction betw…

The following graph shows the progression of a reaction between molecular hydrogen (H2) and molecular (I2) to produce hydrogen iodide (HI). Referencing the graph, answer the following four questions.   See the description for details “This image depicts a graph showing the progression of a chemical reaction between molecular hydrogen (H2) and molecular iodine (I2) to form hydrogen iodide (HI). The red line represents the concentration of H2(reactant). The black line represents the concentration of I2 (reactant). The red dashed line represents the concentration of HI (product).The vertical line marked “”A”” is used as a reference for further questions regarding the concentration progression over time.”