| Topic | Problem | Solution |
|---|---|---|
| None | The dimensions of a gift box are $x \mathrm{~cm},… | Given the volume formula: \(V = l * w * h\), we have \(32 = x * x * (14 - 3x)\) |
| None | Question 11 Make $x$ the subject of the formula \… | Divide both sides of the equation by a: \(\frac{y}{a} = x\) |
| None | Question 7 Express 6550000 in standard form | Rewrite 6550000 as a number between 1 and 10 multiplied by a power of 10: \(6.55 \times 10^6\) |
| None | Question 3 Factorise $x^{2}-3 x-10$ | Find two numbers that multiply to -10 and add to -3: (-5, 2) |
| None | Is the game fair or not fair? Explain your answer… | Calculate the probability of Cooper getting a point: \(P(C) = 1 - (\frac{1}{2})^3 = \frac{7}{8} = 0… |
| None | $6: 13$ Sparx - Sebastian Krista MENU Bookwork co… | To find out how many millimeters are in 1 centimeter and 7 centimeters, we need to know the convers… |
| None | Tellurium ( $Z=52$ ) has a lower atomic number th… | Since Tellurium has a lower atomic number than Iodine, it has fewer protons. |
| None | A company produces steel rods. The lengths of the… | The problem is asking for the probability that the average length of a bundle of 40 rods is between… |
| None | $\begin{aligned} x-3 y+2 z & =17 \\ x-y+z & =8 \\… | We are given a system of linear equations: \(x-3y+2z = 17\), \(x-y+z = 8\), and \(y+z = 3\). |
| None | A group of office workers had some prize money to… | Let's denote the total amount of prize money as \(T\) and the number of office workers as \(n\). |
| None | 15. $\lim _{x \rightarrow 0} \frac{f(x)}{x}=12$ 일… | 문제는 함수의 한계를 찾는 것입니다. x가 3에 접근할 때 함수는 \(\frac{f(x-3)}{x^{2}-9}\)로 주어집니다. 또한 \(\lim _{x \rightarrow 0… |
| None | 13. $f(x)=\frac{a x^{2}+b x+c}{x^{2}-4 x+3}$ 에 대하… | 함수 $f(x)=\frac{a x^{2}+b x+c}{x^{2}-4 x+3}$ 가 주어졌습니다. 이 함수의 극한값이 주어진 조건을 만족시키려면, 분자의 최고차항의 계수가 분모의 … |
| None | 6. Given: $\overline{A B} \cong \overline{C B}, \… | Given: \(\overline{AB} \cong \overline{CB}\), \(\overline{AD} \cong \overline{CD}\) |
| None | 10 Given the triangle above, choose all the possi… | Identify correct formulas using the Law of Cosines: \(c^2 = a^2 + b^2 - 2ab \cos C\), \(b^2 = a^2 +… |
| None | For the given functions, find \( (f \circ g)(x) \… | \( (f \circ g)(x) = f(g(x)) = \frac{6}{1 - 7(\frac{1}{x})} \) |
| None | At a point on the ground $15 \mathrm{ft}$ from th… | Let the height of the tree be denoted as \(h\). |
| None | Find the formula for a function of the form $C(x)… | Find the first and second derivatives of C(x): |
| None | 10- Using De Moivre's theorem to prove that: \[ \… | Use De Moivre's theorem to find the expressions for sin(3θ) and cos(3θ) by setting z = cos(θ) + i*s… |
| None | A ball is thrown upward with an initial velocity … | The ball will reach the ground when its height is 0. So, we need to solve the equation \(-16 t^{2}+… |
| None | Solve the following equation using the quadratic … | Expanding the product on the left, we have $(x-8)(x-2) = -9$, so $x^2 - 10x + 16 = -9$. |
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