| Topic | Problem | Solution |
|---|---|---|
| None | oAstronomers discover an exoplanet, a planet orbi… | Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital… |
| None | Given $\sin \theta=0.31$, find $\cos \theta$ and … | Given \(\sin \theta = 0.31\), we can use the Pythagorean identity \(\sin^2 \theta + \cos^2 \theta =… |
| None | $P=4 x y+3 x^{2}+2 x-10$ | Given the equation \(P = 4xy + 3x^2 + 2x - 10\), let's assume \(x = 2\) and \(y = 3\) |
| None | UNIVERSITE CHOUAIB DOUKKALI Année universitaire 2… | 1. n = \frac{P_A V_A}{R T_A} = \frac{3 \mathrm{~atm} * 16.4 \mathrm{~L}}{0.0821 \mathrm{~L~atm~mol}… |
| None | 14. Solve $4(x+9)=6 x-4$ A. 3.2 B. 6.5 C. 16 D. 20 | Expand the left side: 4(x+9)=4x+36 |
| None | f. Given a shed that has the shape of a cylinder … | Calculate the volume of the cylinder: V_cylinder = π * r1^2 * h1 = π * 5^2 * 10 = \(785.39816339744… |
| None | Given right triangle $A B C$ with altitude $\over… | Given right triangle ABC with altitude BD drawn to the hypotenuse AC, we have AB = 10 and AD = 5. U… |
| None | - Démontrez les trois lois de Laplace, pour un ga… | 1. Préparez les équations pour une transformation adiabatique réversible d'un gaz parfait: \(P_1 V_… |
| None | Write a rule for the pattern below. Use $x$ to re… | Observe the sequence: [1, 4, 9, 16, 25] |
| None | \( \sqrt{16,200} \) | \( \sqrt{16,200} = \sqrt{2^2 \cdot 3 \cdot 5 \cdot 7 \cdot 23} \) |
| None | Ken and Paul each ordered a sandwich at a restaur… | 1. \(\text{Price of Ken's sandwich} = x \) |
| None | \( \lim _{x \rightarrow 0} \frac{\sin 2 x}{5 x} \) | \( \lim _{x \rightarrow 0} \frac{\sin 2 x}{5 x} = \frac{1}{5} \lim _{x \rightarrow 0} \frac{\sin 2 … |
| None | A gas held in a sealed container has a pressure o… | P1 * V1 = P2 * V2 |
| None | ₹ 11. \( 7: 22 \) e-Assessment 4 الوقت المتبقي 00… | 1. Arrange data in ascending order: \( 12, 16, 25, 25, 29, 35, 40, 42, 45 \) |
| None | Find the dot product, \( \vec{u} \cdot \vec{w} \)… | \( \vec{u} \cdot \vec{w} = (-7)(4) + (-4)(-3) \) |
| None | Find the dot product, \( \vec{u} \cdot \vec{w} \)… | \( \vec{u} \cdot \vec{w} = 5\times12 + 3\times4 \) |
| None | \( f(x)=\left\{\begin{array}{cc}x+5 & x<-2 \\ -2 … | \( f(x) = \left\{\begin{array}{cc}x+5 & x<-2 \\ -2 x-1 & x \geq-2\end{array}\right. \) |
| None | $\lim _{x \rightarrow-1} \frac{x^{3}+1}{x^{2}-1}$ | Podemos realizar a divisão longa. Também podemos escrever |
| None | \( -\frac{6}{5}-\frac{2}{3} v+\frac{4}{15}+\frac{… | \( (-\frac{6}{5}) + (\frac{4}{15}) \) |
| None | 13. If \( n(A \cup B)=50, n(A \cap B)=10 \), and … | \( n(A \cup B) = n(A) + n(B) - n(A \cap B) \) |
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