The following completed proof is correct. (x)(Ax ⊃ Bx) (x)(Bx ⊃ Cx) / (x)(Ax ⊃ Cx) Ax ACP Ax ⊃ Bx 1, UI Bx 3, 4, MP Bx ⊃ Cx 2, UI Cx 5, 6, MP Ax ⊃ Cx CP, 3–7 (x)(Ax ⊃ Cx) 8, UG

The following completed proof is correct. (x)(Fx ⊃ Gx) ~Gd / ~Fd Fd ⊃ Gd 1, UI ~Fd 2, 3, MT

Use your knowledge of truth tables to identify the statement as contingent, tautology, or self-contradiction.   P  v  Q

The following completed proof is correct. (x)(Mx ⊃ Nx) (x)(Nx ⊃ Ox) / (x)(Mx ⊃ Ox) Ma ACP Ma ⊃ Na 1, UI Na ⊃ Oa 2, UI Ma ⊃ Oa 4, 5, HS Oa 3, 6, MP Ma ⊃ Oa CP, 3–7 (x)(Mx ⊃ Ox) 8, UG

The following completed proof is correct. ~(Pa · Qa) Pa / ~Qa ~Pa v ~Qa 1, DM ~~Pa 2, DN ~Qa 3, 4, DS

The following completed proof is correct. (∃x)(Fx · Gx) (x)(Gx ⊃ Hx) / (∃x)(Fx · Hx) Fa · Ga 1, EI Ga 3, Simp Ga ⊃ Ha 2, UI Ha 4, 5, MP Fa 3, Simp Fa · Ha 7, 6, Conj (∃x)(Fx · Hx) 8, EG

Pauline ate 8 oz. roast beef, 13 oz. water, green beans, apricots, 7 oz. frozen yogurt, 1 cup rice, 260 mL milk.  What was Pauline’s intake?

 EXERCISE 15.10: Comparing Spring and Neap Tides (See pages 438 in your lab manual book for larger, more detailed images) Use the tidal gauge on the pier support (it looks like a ruler) to answer the following questions (remember to include proper units). Each longer tick on the pier support measures a meter, and each shorter tick is half a meter.   Part 1.a. What is the high-tide height in Figure 1a? What is the low-tide height in Figure 1b? Based on your two measurements, calculate the tidal range: ____________

 EXERCISE 15.10: Comparing Spring and Neap Tides Many water levels around the world are measured using buoys and satellites. When plotted on a graph, it is clear that the tides truly are waves, with high tide occurring at the crest, and low tide at the trough of the wave. Use the water level graph shown below to identify the spring and neap tides. (See pages 439 in your lab manual book for larger, more detailed images) 42. Part 2.c. On which dates did the spring tides occur?  

  The text of an opera is known as a