Directions: Find your way out of the Combination Maze by solving the given expressions and following the correct path by choosing the correct answer inside the arrows. Start Here! Find n in C(m. 2) = 15 What is If 8Cr = 70, what is r? If 4Cr = 4 then r- 120 24 30 Find r in Find the In ncs = 210, the value of nis What is n in nc8 = 45? 14 C(10,r) = 10 value of n in nC10 = 66 | 24 L | 12 7 / 10 10 What is the Evaluate value of r in 5 C(9.r) = 126 C() Find C(5,2). 10 FINISH ELLE Foun

Jessica says she doesn’t understand the Pythagorean theorem. She put numbers in for a, b, and c in the equation a2 + b2 = c2, but the equation isn’t always true. For example, when she put in a = 2, b = 3, and c = 4, she got 4 + 9 = 16, which isn’t correct. Jessica wants to know why the Pythagorean theorem isn’t working. Write an informative paragraph discussing Jessica’s conundrum. Why does the Pythagorean theorem appear not to be correct? What misunderstanding does Jessica have? Beckmann, Sybilla. Mathematics for Elementary Teachers with Activities, (p. 576). Pearson Education. Kindle Edition.

Cycling Race Three friends, Xavier, Yolanda, and Zeke, want to have a race on their stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles, for any value of n. Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per hour, and Zeke's speed is 3 miles per hour. We will show that Xavier is incorrect (he has never taken a Discrete Structures course, evi- dently!). (a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer. Answer:

Charlie did the below work on a problem. Find and describe the error he made as well as describing what he should have done. You do not need to solve the problem. 3p-115p+6 - 3p - 3p -11 = 2p+6 -11 = 8p -11/8 = 8p/8 -11/8 = p