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Homework: Sec 3.4 Homework Score: 0.44 of 1 pt 5 of 30 (26 complete) 3.4.9 Use a truth table to determine whether the two statements are equivalent. a - b, av ~b a b a - b T T T T F F F T T F F T Construct a truth table for a v ~b. a b av-b T T F F T F FHomework: Sec 3.4 Homework Save Score: 0 of 1 pt 29 of 30 (26 complete) V HW Score: 74.43%, 22.33 of 30 pts 3.4.63 Question Help Determine which, if any, of the three given statements are equivalent. Use information about a conditional statement's converse, inverse, or contrapositive, De Morgan's laws, the fact that p - q > ~p V q, or truth tables. a. If the ball is flat, then it will bounce. b. It is false that the ball is flat and it will bounce. c. The ball is not flat and it will not bounce. Choose which statements are equivalent. O A. b and c O B. a and b O C. a and c O D. All of the statements are equivalent. O E. None of the statements are equivalent.Homework: Sec 8.3 Homework Save Score: 0.5 of 1 pt 9 of 23 (20 complete) HW Score: 75.36%, 17.33 of 23 pts 8.3.13 Question Help Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn to scale 13 in 13 in. 1 15 in a. The area of the quadrilateral is 120 in.2. b. The perimeter of the quadrilateral is in. in 3 in 2 in 4 X Vi VI More in. inter your answer in the answer box and .... Check Answer. ? parts showing Clear All Check Answer60-6436602& centerwin=y Math 230 Spring 21 Homework: Sec 3.4 Homework Score: 0.44 of 1 pt 7 of 30 (26 complete) 3.4.12 Use a truth table to determine whether the two statements are equivalent. -p--q. q- -P T T F T F T F F F T Construct a truth table for q-~p. P q 9--P F F F FHomework: Sec 3.4 Homework 8 of 30 (26 complete) Score: 0.94 of 1 pt 3.4.13 Use a truth table to determine whether the two statements are equivalent. (p A q) vr and (q vr) Ap (PA q) Vr (q vr) AP P r T T T T T F T T F F F F F F T F F F F F Choose the correct answer below. O The statements are equivalent. O The statements are not equivalent.Homework: Sec 3.4 Homework Score: 0 of 1 pt 2 of 30 (26 complete) 3.4.3 Fill in the blanks with an appropriate statement. The conditional statement p - q is equivalent to the following disjunction statement: Choose the correct response below. O A. pv -q OB. PA -q O C. ~(pvq) OD. ~pvqHomework: Sec 3.4 Homework Score: 0.44 of 1 pt 6 of 30 (26 complete) 3.4.11 Use a truth table to determine whether the two statements are equivalent. ~p-~q. p-q Construct a truth table for ~p-~q. q -p=~q T T F T T F F Construct a truth table for p-q. P- q T F select vour answer(s) and then click Check AnswerHomework: Sec 3.4 Homework Score: 0.33 of 1 pt 21 of 30 (26 complete) 3.4.43 Write the converse, inverse, and contrapositive of the statement. If you eat your vegetables, then you can have dessert. Identify the converse statement. A. If you can have dessert, then you eat your vegetables. O B. If you cannot have dessert, then you eat your vegetables. O C. If you did not eat your vegetables, then you cannot have dessert. O D. If you cannot have dessert, then you did not eat your vegetables. Identify the inverse statement. O A. If you did not eat your vegetables, then you cannot have dessert. O B. If you cannot have dessert, then you did not eat your vegetables. C. If you cannot have dessert, then you eat your vegetables. O D. If you can have dessert, then you eat your vegetables.Homework: Sec 3.4 Homework Score: 0.33 of 1 pt 22 of 30 (26 complete) 3.4.45 Select the converse, inverse, and contrapositive for the following statement. If many people are not relieved, then high blood pressure is desirable. The converse of the given statement is which of the following? O If high blood pressure is not desirable, then many people are relieved. If high blood pressure is desirable, then many people are not relieved. O If many people are relieved, then high blood pressure is not desirable. O Many people are relieved or high blood pressure is desirable. The inverse of the given statement is which of the following? If many people are relieved, then high blood pressure is not desirable. O If high blood pressure is not desirable, then many people are relieved. O If high blood pressure is desirable, then many people are not relieved. O Many people are relieved or high blood pressure is desirable.Homework: Sec 3.4 Homework Save Score: 0 of 1 pt 28 of 30 (26 complete) HW Score: 74.43%, 22.33 of 30 pts 3.4.61 Question Help Determine which, if any, of the three given statements are equivalent. Use information about a conditional statement's converse, inverse, or contrapositive, De Morgan's laws, the fact that p - q > ~p V q, or truth tables. a. It is warm and he shivers. b. If he shivers, then it is not warm. c. He does not shiver or it is not warm. Choose which statements are equivalent. O A. a and b O B. a and c O C. b and c O D. All of the statements are equivalent. O E. None of the statements are equivalent.Homework: Sec 3.4 Homework Score: 0.89 of 1 pt 9 of 30 (26 complete) 3.4.15 Overview, question 9 of 30, 26 compl Use a truth table to determine whether the two statements are equivalent. (-p-~q)4(-q--p) and -p+~q Complete the truth table. P q (-P- -q)A(-q--P)-p+-q T T T T T F F F F T F F F F T T Choose the correct answer below. O The statements are not equivalent. O The statements are equivalent.Homework: Sec 8.3 Homework Score: 0.5 of 1 pt 16 of 23 (20 complete) 8.3.30 Determine the shaded area. This figure is not drawn to scale. 48 m 20 m 52 m The shaded area is (Type an integer or decir the nearest hundredth as needed.) m. m2 mHomework: Sec 3.4 Homework Score: 0.5 of 1 pt 23 of 30 (26 complete) V 3.4.49 Write the contrapositive of the following statement. Use the contrapositive to determine whether the original statement is true or false. If a natural number is divisible by 36, then the natural number is divisible by 9. Which of the following is the contrapositive of the given statement? O A. If a natural number is divisible by 9, then the natural number is divisible by 36. O B. If a natural number is not divisible by 36, then the natural number is not divisible by 9. O C. If a natural number is not divisible by 9, then the natural number is divisible by 36. CD. If a natural number is not divisible by 9, then the natural number is not divisible by 36. Is the original statement true or false? O false trueHomework: Sec 3.3 Homework Score: 0 of 1 pt 11 of 21 (20 complete) HW S 3.3.29 Write the statement in symbolic form. Then construct a truth table for the symbolic statement. If you do not enjoy your physics class then you can sleep through it, or you can go to French class. Write the statement in symbolic form and construct a truth table for the symbolic statement. Let p ="you enjoy your physics class," q= "you can sleep through it," and r= "you can go to French cl P q -P (p - q) v ~r (-p - q) A ~r ( -p -q) Ar ( ~p - q) vrHomework: Sec 3.4 Homework Score: 0 of 1 pt 26 of 30 (26 complete) 3.4.58 Determine which, if any, of the three statements are equivalent. a) Cherilyn sang "Backstage" or Gordon did not sing "Roxanne." b) If Cherilyn sang "Backstage" then Gordon did not sing "Roxanne." c) It is false that Gordon did not sing "Roxanne" and Cherilyn did not sing "Backstage." Choose the correct answer below. O A. Statements b) and c) are equivalent. O B. Statements a) and b) are equivalent. O C. Statements a) and c) are equivalent. O D. Statements a), b), and c) are equivalent. O E. None of the statements are equivalent.Homework: Sec 8.3 Homework Save Score: 0.33 of 1 pt 12 of 23 (20 complete) HW Score: 75.36%, 17.33 of 23 pts 8.3.19 Question Help (a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. The figure is not drawn to scale. 12 yd 5 yo a. The length of the unknown side is 13 yd. (Type a whole number.) b. The perimeter of the triangle is (Type a whole number.) yd4 yd. Enter your answer in the answer box yd3 ck Check Answer. ? Part remainingHomework: Sec 3.3 Homework Score: 0 of 1 pt 11 of 21 (20 complete) 3.3.29 Write the statement in symbolic form. Then construct a truth table for the symbolic statement. If you do not enjoy your physics class then you can sleep through it, or you can go to French class. Write the statement in symbolic form and construct a truth table for the symbolic statement. Let p = "you enjoy your physics class," q= "you can sleep through it," an -P -p - q -p + q P - -q P - qHomework: Sec 8.3 Homework Save Score: 0 of 1 pt 5 of 23 (20 complete) HW Score: 75.36%, 17.33 of 23 pts 8.3.6 Question Help Determine the area of the triangle. 28 m 14 3 m! A = m'. (Simplify your answer. Type an exact answer, using radicals as needed.)