Rewrite each of the following sentences using mathematical notation (v, 3, and tate whether the sentence is true or false with a brief reason. (a) for every integer there is a smaller real number. (b) there exists a real number that is smaller than every integer.

Experimental data that is expressed using numbers is said to be

Write a program that prints the day number of the year, given the date in the form month-day-year. for example, if the input is 1-1-2006, the day number is 1; if the input is 12-25-2006, the day number is 359. the program should check for a leap year. a year is a leap year if it is divisible by 4, but not divisible by 100. for example, 1992 and 2008 are divisible by 4, but not by 100. a year that is divisible by 100 is a leap year if it is also divisible by 400. for example, 1600 and 2000 are divisible by 400. however, 1800 is not a leap year because 1800 is not divisible by 400.

Aspeed limit sign that says "night" indicates the legal speed between sunset and sunrise.