🧮 algebra

1. **Nyatakan masalah:** Diberi bahawa $T$ berubah secara langsung dengan punca kuasa tiga $U$ dan kuasa dua $V$. Kita diberi nilai $T=24$ apabila $U=-64$ dan $V=9$. Kita perlu car

1. Problem: We have a number line with colored intervals: yellow (-3 to -2), blue (-2 to -1), pink (-1 to 0), green (0 to 1), purple (1 to 2), and orange (2 to 3). 2. Given: $2A$ l

1. **Stating the problem:** We are given that $y$ varies directly as the cube root of $x$, i.e., $y \propto \sqrt[3]{x}$. We need to find the constant of proportionality $k$ and th

1. **State the problem:** Jake wants to make cupcakes using a recipe for 8 cupcakes that requires 30g caster sugar and 50g butter per 8 cupcakes. He has unlimited flour, milk, and

1. **Stel het probleem vast:** We hebben twee termen van een rekenkundige rij: $u_2 = 22$ en $u_5 = 30$. We moeten $u_1$ en het verschil $v$ berekenen.

1. The problem is to solve for $x$ in the equation $2x + 3 = 11$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. We gaan uitleggen wat een rekenkundige rij is. 2. Een rekenkundige rij is een rij getallen waarbij je steeds hetzelfde getal optelt om bij het volgende getal te komen.

1. **Stel het probleem vast:** We willen begrijpen hoe rekenkundige rijen werken. 2. **Definitie:** Een rekenkundige rij is een rij getallen waarbij elk volgend getal wordt verkreg

1. **Stating the problem:** We need to understand and solve inequalities, which are mathematical expressions involving \(<\), \(>\), \(\leq\), or \(\geq\).\n\n2. **Formula and rule

1. Das Problem lautet: Löse die Gleichung oder Aufgabe (bitte geben Sie die genaue Aufgabe an, da keine spezifische Aufgabe genannt wurde). 2. Da keine konkrete Aufgabe angegeben w

1. **State the problem:** Solve the equation $$\frac{e^x - e^{-x}}{2} = 1$$ for $x$. 2. **Rewrite the equation:** Multiply both sides by 2 to clear the denominator:

1. The problem is to solve the equation $3k = 1$ for $k$. 2. The formula used here is to isolate the variable by dividing both sides of the equation by the coefficient of $k$.

1. **State the problem:** Find the coefficients $a$, $b$, $c$, and $d$ of the cubic curve $$y = ax^3 + bx^2 + cx + d$$ such that it touches the line $$y = x + 1$$ at the point $(0,

1. **State the problem:** Find the coefficients $a$, $b$, $c$, and $d$ of the cubic curve $$y = ax^3 + bx^2 + cx + d$$ such that it touches the line $$y = x + 1$$ at the point $(0,

1. **State the problem:** Calculate the value of $\sqrt{3,312,400} \times e^{-\ln(130)}$. 2. **Recall formulas and rules:**

1. **Problem statement:** We have an arithmetic series where the sum of the first 5 terms is 70 and the sum of the first 11 terms is 352. We need to find the first term $a$ and com

1. **Problem Statement:** Find the value of $k$ in each term of the expansion of $$\left(2x-\frac{1}{3}y\right)^{10}$$ corresponding to the given terms. 2. **Formula:** The general

1. Solve the inequality $6n - 12 > 30$. Start by adding 12 to both sides:

1. **State the problem:** Simplify the expression $x - 13 \_ 20$. 2. **Identify the operation:** The underscore symbol \_ is not a standard arithmetic operator. Assuming it is a ty

1. **State the problem:** Solve the system of equations:

1. **State the problem:** We need to find the ratio of dogs to cats in simplest form given 18 dogs and 8 cats. 2. **Write the ratio:** The ratio of dogs to cats is $$\frac{18}{8}$$