| Topic | Problem | Solution |
|---|---|---|
| None | (1) The second of two numbers is 6 times the firs… | Given: y = 6x and x + y = 77 |
| None | Question 2 Begin writing on a NEW page a) When a … | First, we need to find the probability that a radish grown without fertilizer weighs more than 60g.… |
| None | $\frac{d}{d x} \int_{a}^{b} \sin x^{r} d x$ | Find the derivative of the integral of sin(x^r) with respect to x using the Fundamental Theorem of … |
| None | $X^{5}+X-10=0$ | Use the Newton-Raphson method to find an approximate solution for the equation \(X^{5}+X-10=0\) wit… |
| None | 11 Find the values of $h$ and $k$ given that $x+2… | Given that $x+2$ is a factor of $Q(x)=(x+h)^{2}+k$, we have $Q(-2) = 0$. |
| None | 1. Write a system of linear equations for the fol… | Write a system of linear equations based on the given statements: \(x - y = -4\) and \(4x + 2y = 8\) |
| None | c. $\left\{\begin{array}{l}2 x-y=23 \\ x-9=-1\end… | Solve the second equation for x: \(x - 9 = -1 \Rightarrow x = 8\) |
| None | b. $\left\{\begin{array}{l}2 x=12 \\ x-5 y=-29\en… | Solve the first equation for x: \(2x = 12\) => \(x = 6\) |
| None | MUBARAK BIN MOHAMMED CHARTE 3) Find the volume of… | 1. Determine the base and height of the triangular face of the prism. |
| None | 3. Supplementary angles are angles that have a su… | Let \(\angle X\) and \(\angle Y\) be the angles. We are given that they are supplementary and \(\an… |
| None | If radio station call letters must begin with eit… | Break down the problem into two parts: possibilities with two additional letters and possibilities … |
| None | In $\triangle \mathrm{XYZ}, \mathrm{z}=46 \mathrm… | Use the Law of Cosines: \(y^2 = x^2 + z^2 - 2xz \cdot \cos(Y)\) |
| None | In $\triangle \mathrm{DEF}, d=6.9 \mathrm{~cm}, f… | Use the Law of Sines: \(\frac{d}{\sin(D)} = \frac{f}{\sin(F)}\) |
| None | $\frac{6}{n}=\frac{16}{24}$ | Cross-multiply: \(6 \times 24 = n \times 16\) |
| None | $\frac{n}{10}=\frac{4}{8}$ | Cross-multiply: \(n = 10 \cdot \frac{4}{8}\) |
| None | A vector is $25.6 \mathrm{~m}$ long and makes an … | Find the angle the vector makes with the x-axis: \(90^\circ - 60^\circ = 30^\circ\) |
| None | $\frac{3}{6}=\frac{n}{2}$ | Cross-multiply: \(6n = 3 \times 2\) |
| None | was incorrect inequality: \( -2 x \geq 7 \) or \(… | \( x \leq -\frac{7}{2} \) |
| None | [25] For the shown two-story structure, the eigen… | First, we find the mass matrix $\mathbf{M}$ and the stiffness matrix $\mathbf{K}$: |
| None | $\frac{8}{n}=\frac{1}{3}$ | Cross-multiply: 8 * 3 = n * 1 |
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