Cantor went after irrationals, a messy set for mathematicians. Prove that irrationals have the cardinality of the continuum. (There are many more irrationals than rationals.) (a) In binary, consider the number x = 0.1011011011011 · · · = 0.1011. Show that x = 5 7 . Argue that a rational number’s binary representation either terminates or some bits eventually repeat. (You don’t need a full proof.)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2