Give a recursive definition of a set of bit strings in which the number of zeros is three more than the number of ones and use induction to prove it is correct.

The “rule of 72” is used to approximate the time required for prices to double due to inflation. if the inflation rate is r%, then the rule of 72 estimates that prices will double in 72/r years. for instance, at an inflation rate of 6%, prices double in about 72/6 or 12 years. write a program to test the accuracy of this rule. for each interest rate from 1% to 20%, the program should display the rounded value of 72/r and the actual number of years required for prices to double at an r% inflation rate. (assume prices increase at the end of each year.)

1. which of the following is not an example of an objective question? a. multiple choice. b. essay. c. true/false. d. matching 2. why is it important to recognize the key word in the essay question? a. it will provide the answer to the essay. b. it will show you a friend's answer. c. it will provide you time to look for the answer. d. it will guide you on which kind of answer is required.

"gps interaction and cognitive process" respond to the following: imagine that you have been asked to design a gps product that will have voice recognition and bluetooth capability. discuss and conceptualize a user interaction model. predict two (2) problems that may arise in gps products with voice recognition and bluetooth capability. recommend solutions for each of these issues. attention is one of the six cognition processes. when attention is applied to a design, the goal is to make it easier for the end user to quickly locate where he / she should type information on the computer or mobile device screen. compare and contrast how the google search engine and the microsoft bing search engine employ the attention cognition process. provide your opinion as to which search engine better employs the attention cognition process and explain why.