Consider the minimum perfect squares problem.  Given a positive integer, we want to find the least number of squares of integers that we need to sum to get that number.  For example, if I give you the number 5, then this can be written as a sum of squares in two different ways: or .  So, the minimum number of terms you need is 2.  As another example, consider 11.  This can be written as a sum of squares in many ways, but the one with the fewest terms is .  So, the minimum number of terms required is 3. Your problem is to write pseudocode that will compute the answer to the minimum perfect squares problem using dynamic programming.  To be specific, here are some inputs and outputs: Input: 2.  Output: 2 () Input: 5.  Output: 2 () Input: 11.  Output: 3 () Input: 99.  Output: 3 () Your code should only output the number of terms in the sum.  Do not output which squares are in the sum.  (So, for example, if you input 11, your function should just return the number 3.) Hint: Let be the minimum number of perfect squares needed for .  Then, notice that you can break this into subproblems via        

A study found a correlation coefficient of r = 0.56 based on a sample size of n = 14. The t-stat associated with the calculation is t=2.34 and the degrees of freedom is 12. Which formula should you use to calculate the p-value associated with this correlation?  

A large multinational corporation is considering entry into two distinct industries, Industry A and Industry B. Analysis indicates the following: In Industry Alpha, firms minimize their average costs (achieve Minimum Efficient Scale – MES) at an annual output of 30,000 units. In Industry Beta, firms minimize their average costs (MES) at an annual output of 2,000 units. Assume that market demand and the structure of variable costs per unit are similar in both industries. a) Based on this information, which industry (Alpha or Beta) would you expect to support a larger number of competing firms in the long run Explain your reasoning. b) In economic terms (e.g., related to cost structures), how would you explain the difference in the Minimum Efficient Scale (MES) between Industry Alpha and Industry Beta?

Your private equity firm owns Brumana Pugliese (BP), a leading scooter manufacturer in Brazil. Analysis shows the income elasticity of demand for scooters in Brazil is εi,q=−1.5, and the price elasticity is εp,q=−2.8. Macroeconomic forecasts predict a 20% income increase for the lowest income bracket in Brazil over the next year. a) While rising incomes are generally positive, what specific economic fact regarding BP’s scooters should cause concern for the company’s future sales in Brazil, given the expected income growth? b) Based on your answer in (a), what is likely to happen to the market demand and equilibrium price of BP scooters in Brazil? Explain briefly.

Raccoon Life Apparel’s women’s apparel line will end 2025 with $304.5 million in sales. It anticipates a 1.8% growth in 2026 to $310 million in sales.• The industry average for the sales force cost as a percentage of total sales is 6%.• The company’s sales budget is divided into management (16%), field sales (82%), and support staff (2%).• The average salesperson costs this company $85,000 (including salary, bonus, commission, and benefits).They currently have 180 salespeople.    If three (3) salespeople leave by the end of the year (i.e., the sales force will be reduced to 177), do they have enough salespeople to cover the market in 2026, or do they need to hire? If they need to hire, how many should they hire?  

Which defect is shown in the picture?                                                                                                                                                                                                                                             

What vessel is the arrow pointing to in the image below.

What is the proportion of a sample of male and female that will have a height between 60-75 inches? Report your answer in decimal notation using 2 significant figures

The two most important classes of nucleic acids used in cancer therapy are siRNA and mRNA. Select which statement is CORRECT:

Which method is included in collecting the Voice of the Customer (VOC)?