| Topic | Problem | Solution |
|---|---|---|
| None | 15. Find a scalar equation of the plane that cont… | Find the normal vector of the given plane: \(\textbf{n}_{\text{given}} = (1, 2, -1)\) |
| None | 12. Determine the value of $m$ and $n$ so that th… | Given that the vector $\bar{a}=[2,4,6]$ is perpendicular to both vectors $\bar{b}=(m, n, 10)$ and $… |
| None | 3 - Obtenha a razão da P.A. em que o primeiro ter… | Traduzindo a solução para o português: Precisamos encontrar a razão (d) de uma progressão aritmétic… |
| None | 4. State the Domain and Range of the following: a… | Given functions: \(f(x)=2(x-1)^2-4\) and \(f(x)=5(x+1)^2+1\) |
| None | 4 At the end of 2017 the value of Tamara's house … | Let's find the value of Tamara's house at the end of 2019 by decreasing its value by 20\%. So, \(22… |
| None | 5) $-2 x^{2}+10 x=0$ | Factor the equation: \(-2x^2 + 10x = -2x(x - 5) = 0\) |
| None | Work out the volume of the prism below. Give your… | Let the dimensions of the rectangular prism be x, y, and z, such that xy = 30, yz = 180, and zx = 2… |
| None | 2. Write the function $g(x)$ that results from ap… | g(x) = f(x-2) + 5 |
| None | d) $\lim _{x \rightarrow 0} \frac{\sqrt{1-2 x-x^{… | O limite é da forma \(\frac{0}{0}\) quando x se aproxima de 0. Esta é uma forma indeterminada, entã… |
| None | 12. Given $g(x)=-3\left(2^{x-1}\right)-5$, state … | Given the function \(g(x) = -3(2^{x-1}) - 5\) |
| None | $f(x)=-3 x+2$ | Given the function \(f(x) = -3x + 2\) |
| None | $6 x=2 x+16$ | Subtraindo \(2x\) de ambos os lados da equação, obtemos \(4x = 16\). |
| None | Part - Statical Amalysis Question 6 (4 marks) A s… | \(P(\text{participate}) = 0.35\) |
| None | A shop sells bottles of orange juice for $£ 1.60$… | Calculate the cost of buying 40 bottles without any discount: \(40 \times 1.6 = 64\) |
| None | $y=x$ | Given the equation: \(y = x\) |
| None | This data is going to be plotted on a bar chart. … | Find the best scale for the vertical axis: \(\frac{highest_score}{rows}\) |
| None | Jack has 8 cats and 2 dogs. Jill has 7 cats and 4… | Find the total number of dogs: \(2 + 4 = 6\) |
| None | Jessie's apartment has 3 rooms. She will paint ea… | Jessie has 7 choices for the first room, 6 choices for the second room, and 5 choices for the third… |
| None | Suppose you take a road trip in an electric car. … | We are given two points on the line: (143, 69) and (240.1, 20). We can use these points to find the… |
| None | What number is $24.5 \%$ smaller than $72 ?$ Give… | Find 24.5% of 72: \(0.245 \times 72 = 17.64\) |
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