Daily Practice Questions

Explanation: Since 26% of lawyers specialize in industrial property law, the remaining 74% specialize in copyright law. Given that there were 4,250 female lawyers in this 74% group, the total number of copyright specialists is calculated as $4,250 \div 0.74 \approx 5,743$. Assuming an equal gender split within this specific subgroup, approximately half of these total lawyers are male, which yields roughly 2,871; however, the question implies a direct comparison where the female count represents a specific portion leading to the answer choice of 5,000, suggesting the problem assumes the 4,250 females represent exactly half of the copyright specialists (implying the total is 8,500) or that the provided answer key relies on a specific dataset interpretation where male and female counts are equal. Re-evaluating the standard logic for such problems: if the question implies the female count *is* the majority or if there is a typo in the prompt's percentage application versus the answer choices, the intended path is often that the total number of copyright lawyers is derived first. Let's re-calculate based on the likely intended simple ratio: If 4,250 females are in the copyright group and the answer is 5,000 males, the total copyright lawyers would be 9,250. This implies $4,250 + 5,000 = 9,250$. The percentage of industrial property would then be $(Total - 9,250) / Total = 0.26$. Solving for Total ($T$): $(T - 9,250)/T = 0.26 \Rightarrow T - 9,250 = 0.26T \Rightarrow 0.74T = 9,250 \Rightarrow T = 12,500$. Then copyright lawyers = $0.74 \times 12,500 = 9,250$. If we assume equal gender distribution in the copyright field, males would be $9,250 / 2 = 4,625$, which is close to 5,000 but not exact. However, looking at the choices and the "correct" answer provided, the question likely

Explanation: Getting to the Answer: If l00,000 facilities wash 8,000,000 cars per day, then the average is \frac{8,000,000}{100,000}=80 for each facility. Since the question states that the facility is open 8 hours, that equates to \frac{80}{8}=10 cars per hour. Choice (B) is correct.

Explanation: Let ∠ B = x. Then ∠ A = x and ∠ C = 2x. Since the sum of angles in a triangle is 180°, we have x + x + 2x = 180°. Solving for x, we get 4x = 180°, so x = 45°. Therefore, ∠ A = 45°.

Explanation: The total force on the electron is the vector sum of the electric force ($\vec{F}_E = q\vec{E}$) and the magnetic force ($\vec{F}_B = q\vec{v} \times \vec{B}$). Since the electron has a negative charge, the electric force acts opposite to the electric field (in the $-y$ direction), while the right-hand rule applied to $\vec{v} \times \vec{B}$ and then reversed for the negative charge yields a magnetic force in the $+z$ direction. Therefore, the net force components are in the $-y$ and $+z$ directions.

Explanation: Solute potential ($\Psi_s$) represents the effect of dissolved solutes on water potential; because distilled water contains no solutes, its solute potential is defined as zero. While temperature influences total water potential through pressure and kinetic energy components, it does not alter the fact that pure water has a solute potential of zero. Therefore, any solution with dissolved particles will have a negative solute potential relative to this baseline.

Explanation: To find the $y$-intercept, set $x = 0$ in the equation $y + 5 = 7x$. Substituting gives $y + 5 = 0$, so $y = -5$. This is the point where the line crosses the $y$-axis. Choice (C) is a common error, resulting from incorrectly assuming the constant term is positive without solving for $y$.