Without computing the value of (20!)2 determine how many zeros are at the end of this number when it is written in decimal form. Justify your answer. The prime factorization of (20!)2 contains five's and two's. Therefore (20!)2 contains factors of ten and hence zeros.

Draw the hierarchy chart and design the logic for a program that calculates service charges for hazel's housecleaning service. the program contains housekeeping, detail loop, and end-of-job modules. the main program declares any needed global variables and constants and calls the other modules. the housekeeping module displays a prompt for and accepts a customer's last name. while the user does not enter for the name, the detail loop accepts the number of bathrooms and the number of other rooms to be cleaned. the service charge is computed as $40 plus $15 for each bathroom and $10 for each of the other rooms. the detail loop also displays the service charge and then prompts the user for the next customer's name. the end-of-job module, which executes after the user enters the sentinel value for the name, displays a message that indicates the program is complete.

You are almost finished updating a web site. as part of the update, you have converted all pages from html 4.0 to html5. the project is currently on schedule. however, your project manager has been asked by the marketing team manager to justify a day of time spent validating the site's html5 pages. the marketing team manager does not have technical knowledge of the internet or the web. which is the most appropriate explanation to provide to the marketing team manager?

1. package newton’s method for approximating square roots (case study 3.6) in a function named newton. this function expects the input number as an argument and returns the estimate of its square root. the script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key. 2. convert newton’s method for approximating square roots in project 1 to a recursive function named newton. (hint: the estimate of the square root should be passed as a second argument to the function.) 3. elena complains that the recursive newton function in project 2 includes an extra argument for the estimate. the function’s users should not have to provide this value, which is always the same, when they call this function. modify the definition of the function so that it uses a keyword parameter with the appropriate default value for this argument, and call the function without a second argument to demonstrate that it solves this problem. 4. restructure newton’s method (case study 3.6) by decomposing it into three cooperating functions. the newton function can use either the recursive strategy of project 1 or the iterative strategy of case study 3.6. the task of testing for the limit is assigned to a function named limitreached, whereas the task of computing a new approximation is assigned to a function named improveestimate. each function expects the relevant arguments and returns an appropriate value. 5. a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. define a predicate issorted that expects a list as an argument and returns true if the list is sorted, or returns false otherwise. (hint: for a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return false if the first item in a pair is greater.)