The economic dimension (diameter and height) of a cylindrical overhead storage tank for a capacity of 125,000 gallons (use 1ft^3 = 7.842 gallons) are nearly. 1. 15 ft and 7.5 ft 2. 45 ft and 22.5 ft 3. 35 ft and 17.5 ft 4. 20.5 ft and 10.25 ft

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 525 cm³. The material for the base of the box costs 7 cents/cm² and the material for the sides of the box costs 2 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Width Height = cm cm

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Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 1 h 5 - 28 - 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrix is the augmented matrix of a consistent linear system if h = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The matrix is the augmented matrix of a consistent linear system if h‡¯. (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) C. The matrix is the augmented matrix of a consistent linear system for every value of h. D. The matrix is not the augmented matrix of a consistent linear system for any value of h.