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Sickle cell anemia results from what molecular abnormality?
Sickle cell anemia is caused by a point mutation (GAG โ GTG) in the ฮฒ-globin gene, replacing glutamate (Glu) with valine (Val) at position 6, causing hemoglobin polymerization.
Let $X$ be the set of all integers $n$ satisfying $2 \leq |n| \leq 5$. Compare:
Quantity A: The absolute value of the greatest integer in $X$
Quantity B: The absolute value of the least integer in $X$
The set $X$ consists of all integers $n$ with $2 \leq |n| \leq 5$.
These are: $-5, -4, -3, -2, 2, 3, 4, 5$.
The greatest integer in $X$ is $5$, and $|5| = 5$.
The least integer in $X$ is $-5$, and $|-5| = 5$.
Both absolute values equal $5$, so the two quantities are equal.
Resistance of the bulb: $R_b = \frac{V^2}{P} = \frac{(120)^2}{60} = 240\,\Omega$
Before heater is switched on: Current $= \frac{120}{240+6} = \frac{120}{246}\,\text{A}$. Voltage across bulb $= \frac{120 \times 240}{246} \approx 116.9\,\text{V}$.
Resistance of heater: $R_h = \frac{(120)^2}{240} = 60\,\Omega$. Parallel combination: $R_p = \frac{240 \times 60}{300} = 48\,\Omega$.
After heater is switched on: Voltage across combination $= \frac{120 \times 48}{48+6} = \frac{5760}{54} \approx 106.67\,\text{V}$.
Decrease $= 116.9 - 106.67 \approx 10.04\,\text{V}$. Answer: D.
- Total moles $n = 0.5 + x$
- $200 \times 10 = (0.5 + x) \times R \times 1000$
- $2000 = (0.5 + x)1000R$
- $2 = (0.5 + x)R$
- $2/R = 0.5 + x$
- $x = \frac{2}{R} - \frac{1}{2} = \frac{4-R}{2R}$
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