Questions in mathematics

Questions in mathematics

📝 Answered - Solve [tex]x^{\frac{4}{3}}=16[/tex]

📝 Answered - Evaluate $\frac{1.4 \times 10^{-4} \times 2.1 \times 10^3}{2.8 \times 10^4}$ leaving your answer in standard form.

📝 Answered - \frac{3 \cdot 6}{2}+\frac{7 \cdot 2}{3}=

📝 Answered - a) Write $2 \frac{1}{4}$ as an improper fraction in its simplest form. b) Work out $2 \frac{1}{4} \times 5$ Give your answer as a fraction in its simplest form.

📝 Answered - Simplify $4.2^{-3} \cdot 5.1^2 \cdot 4.2^4 \cdot 5.1^3$.

📝 Answered - Find the values of $x$ that satisfy the following inequalities: (i) $3 x^2-4<4 x$ (ii) $\frac{2 x-1}{x+2} \geq 1$ (iii) $2 x^2+8 x \leq 120$ (iv) $\left|\frac{x-4}{x}\right| \leq 3$ (v) $\frac{x}{x-2}>\frac{1}{x+1}$ (vi) $\left|\frac{x-2}{x+4}\right|>3$ (vii) $\left|\frac{2 x-1}{1-3 x}\right| \geq 0$ (viii) $\left|\frac{10 x-1}{4 x-6}\right|>-1

📝 Answered - Solve by matrix method. [tex]x-\frac{2}{3} y \text { and } 4 x-3 y=1[/tex]

📝 Answered - Use long division to divide. Specify the quotient and the remainder. [tex](4 x^2+37 x+63) \div(x+7)[/tex] quotient $\square$ remainder $\square$

📝 Answered - A boat's triangular sail, $P Q R$, is such that the side $PQ =9 cm, PR =10 cm, \measuredangle Q =90^{\circ}$ and $\measuredangle RPQ =25^{\circ}$. Calculate the area of the triangle, correct to 2d.p. $\begin{array}{l} {\left[\sin 25^{\circ}=0.4226, \cos 25^{\circ}=0.9063\right.}\\ \left.\tan 25^{\circ}=0.4663\right] \end{array}$

📝 Answered - Explain how to use a coordinate plane to find the area of a rectangle with vertices $(-4,9),(-4,-3),(-1,-3)$, and $(-1,9)$. What is the area?