Q7-5 points Let D  = ​{1, 4, 6, 7, 8}. How many subsets of size 3 does D have?

Q12-8 points Let ​n be an integer. Use a proof by contrapositive to prove that if ​3n²​ is odd, then ​n​ is odd. 

Q14-6 points Prove the statement (if true), or disprove it by giving a counterexample (if false)                If n is an integer and n²​ is divisible by 4, then n is divisible by 4.

The pediatric nurse is aware of the maturation of organ systems in the school-age child. What does not accurately describes these changes? Select 1 option.

You will write about how technology has impacted your life.   Here is a sample thesis (you cannot use this one): Technology has impacted my life in personal relationships, at work, and at home because it makes making connections easier. Your thesis must have an argument about HOW technology has impacted your life, and which three parts of your life it has or has not impacted. For the actual day, here are the requirements: A thesis about how technology impacts your life (1 sentence with three areas it impacts your life) Three body paragraphs with a clear topic sentence that connects to the thesis Specific, clear examples from your life proving how a specific type of technology impacts you in a certain area (home/work/school/relationships) Sentences about WHY those examples show you are impacted Ending sentence that summarizes your point No major grammar errors (fragment/subject verb agreement error/comma splice/fused sentence/three or more spelling errors) No use of second person pronouns (you, your, yourself, yourselves) Body paragraphs must be at least 7 sentences In Class Practice:   Topic sentence #1   Example:   Why the example proves the point:   Topic Sentence #2   Example:   Why the example proves the point:   Topic Sentence #3   Example:     Why the example proves the point:

Q7-8 points Decide why the argument is valid or invalid. Explain your reasoning.               If he goes hiking, then he will put on boots.             He puts on boots.       .          ∴              He goes hiking.    

Q6-6 points Decide why the argument is valid or invalid. Explain your reasoning.               Pumpkins are gourds.             Gourds are vegetables.   ∴     Pumpkins are vegetables.

An adolescent with scoliosis is refusing to wear the prescribed body brace. Which instruction is best to progress the adolescent to the treatment goals?

Q1-6 points Let ​p​ = “The sky is blue.” Let ​q​ = “The sky is cloudy.” Convert into symbols:   “If the sky is not cloudy, then the sky is blue.”

Q4-6 points Create a truth table for the statement:                                                                                                                                                                                                            r  ⇒ (​p ​∨ ​q​)