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A class has 5 girls and 7 boys. Teams of 2 girls and 3 boys are to be formed. However, two specific boys A and B cannot both be on the same team. How many valid teams can be formed?
Total teams (no restriction): $\binom{5}{2}\binom{7}{3} = 10 \times 35 = 350$
Teams where both A and B are included: Choose remaining 1 boy from 5 others: $\binom{5}{2}\binom{5}{1} = 10 \times 5 = 50$
Valid teams $= 350 - 50 = \mathbf{300}$
A water supply at a desert outpost is sufficient to last 21 days for a group of 15 people. At the same average rate of consumption per person per day, how many days would that same water supply last for a group of only 9 people?
Total water supply $=$ (people) $\times$ (days) $\times$ (rate per person per day).
Total supply $= 15 \times 21 = 315$ person-days.
For 9 people: days $= \dfrac{315}{9} = 35$ days.
Answer: 35.0 days.
Who is considered the father of 'Liberalism' and advocate for natural rights to life, liberty, and property?
John Locke's 'Two Treatises of Government' laid the groundwork for modern liberal democracy.
A patient is receiving heparin infusion for DVT. The nurse notes signs of overdose. Which antidote should be prepared?
Antidotes for anticoagulants:
| Anticoagulant | Antidote |
|---|---|
| Heparin (unfractionated) | Protamine sulfate |
| Warfarin | Vitamin K (phytonadione) / Fresh Frozen Plasma |
| Dabigatran (novel oral anticoagulant) | Idarucizumab |
| Rivaroxaban/Apixaban | Andexanet alfa |
Protamine sulfate is a positively charged protein that binds and neutralizes negatively charged heparin. Signs of heparin overdose: unusual bleeding, hematuria, petechiae, prolonged aPTT. Monitoring: aPTT should be 1.5–2.5 times the control value for therapeutic heparin.
Acute Hemolytic Transfusion Reaction (AHTR) โ most dangerous transfusion complication, usually due to ABO incompatibility:
- Onset: within first 15โ30 minutes of transfusion
- Symptoms: fever, chills, back/flank pain (renal involvement), hemoglobinuria (red/brown urine), hypotension, anxiety, sense of doom
- Mechanism: Antibodies destroy transfused RBCs โ intravascular hemolysis โ free hemoglobin โ acute renal failure
Immediate nursing actions (STOP-STAY-SUPPORT):
- Stop the transfusion immediately
- Keep IV line open with normal saline
- Notify physician and blood bank STAT
- Send blood and urine samples to blood bank
- Monitor vital signs every 5 minutes
- Return blood bag and tubing to blood bank
- Monitor urine output โ maintain >100 mL/hr (prevent renal failure)
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