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A vitamin company produces supplements for anyone who enjoys athletic activities. Two of their products are the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake. One SimplyProtein Nutrition Bar contains 33 grams of protein, 300 calories, 13 grams of sugar, and 45 milligrams of sodium. One Myoplex Deluxe Shake contains 42 grams of protein, 300 calories, 2 grams of sugar, and 450 milligrams of sodium. An athlete is preparing for the Shamrock Shuffle 8K race in Chicago. He is planning to use the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake in his training. He wants to maximize his protein intake daily while keeping his calories under 1500, sugar under 32 grams, and sodium under 1845 milligrams. How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.
Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
Find a polynomial function that has the given zeros.
Create an indicator variable for identical twin.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
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