The Hindu-Arabic System is still used today. 

Let  and . (1) Is every function from   to  also a relation from to ? [a1] (2) Is every relation from to also a function from to ? [a2] (3) Is every relation from to also a relation from to ? [a3] (4)  Is  a relation from to ? [a4] (5) Is  a function from to ? [a5] (6)  Does the arrow diagram represent a function from to ? [a6]    

(Please choose and answer ANY 4 questions out of 6; 3 points for each.  For the other 2 questions, you will receive 1 bonus point for each correct answer.)  Consider the arguments below. If the argument is valid, identify its logical form. Otherwise, indicate whether the converse or inverse error is made. (1)  If a graph is planar, then it can be colored with four colors.       The graph is not planar.

Which of the following is the negation of the statement:       (Hint: Write the statement in the form of 

What will be the result of the following code if the user enters 10 for the age when prompted?def price_check(p):  if p >= 5.0:     print(‘Regular price’)   elif p >= 3.0:     print(‘Senior price’)   elif p > 0:     print(‘Child price’)   else:     print(‘Entry error’) age = int(input(‘Enter your age: ‘)) if age >= 0:   price = 2.0 elif age >= 5:   price = 6.0 elif age > 65:   price = 4.5 else:   price = 7.5price_check(price)

Table 2-8 Good X (Maria) Good Y (Maria) Good X (Anna) Good Y (Anna)  90 0  60 0 60 30 40 10 30 60 20 20 0 90 0 30 Refer to Table 2-8.  If Maria and Anna each specialize in the good in which she has a comparative advantage and then engage in trade, ____________________ can consume a combination of goods that lies beyond her PPF.

What will be displayed when the following script executes, assuming that a = 1, b = 2, and c = 3? if a > b:  print(a)else:  if b > c:    print(b)  else:    if a > c:      print(c)    print(b)  print(a)

Produced goods used as inputs for the production of other goods comprise the resource known as

Listed here are various secretions of the GI tract and their function. Which one is mismatched?

Solve the problem.Find the correct sum for the base four addition fact.3four + 3four = □