🧮 algebra

1. The problem is to solve the equation $256 = 2^n$ for $n$. 2. We use the property of exponents that if $a^m = a^n$, then $m = n$ when $a > 0$ and $a \neq 1$.

1. The problem is to calculate the value of $$\sqrt{5,2+7}-\sqrt{5,2-7}$$. 2. First, note that the commas in the numbers likely represent decimal points or are a formatting error.

1. Muammo: $\sqrt{2-\sqrt{3}} \cdot \sqrt{7+4\sqrt{3}}$ ni hisoblang. 2. Formulalar va qoidalar:

1. **State the problem:** Simplify the expression $$\frac{2}{5} + \left(-\frac{3}{2} + \frac{1}{4}\right) - \left(3 - \left(-\frac{7}{10}\right)\right)$$. 2. **Simplify inside the

1. Masalah: Cara menghitung parabola, yaitu menentukan persamaan parabola dan karakteristiknya. 2. Rumus dasar parabola: Persamaan umum parabola dengan sumbu simetri vertikal adala

1. **Tentukan volume benda putar yang dibatasi oleh kurva** $y = x^2 + 1$ dan $y = x + 3$ diputar mengelilingi sumbu $x$ sejauh 360°. 2. **Cari titik potong kedua kurva untuk menen

1. **State the problem:** Solve the equation $-2(3x - 2) = -2$ for $x$. 2. **Use the distributive property:** Multiply $-2$ by each term inside the parentheses.

1. El problema nos pide completar la tabla para la función $y=3x-2$ con los valores de $x = -2, -1, 0, 1, 2$. 2. La fórmula que usaremos es la función dada: $$y=3x-2$$ donde $x$ es

1. El problema nos pide encontrar la expresión algebraica que relaciona las variables $x$ e $y$ dadas las tablas de valores: $x = 0,1,2,3$ y $y = 4,7,10,13$. 2. Para encontrar la e

1. **State the problem:** Perform the indicated operations using the theorems involving exponents. 2. **Recall the key exponent theorems:**

1. **Stating the problem:** Suhu udara pada malam hari dinyatakan dengan rumus $$3x + (8 - x^2)$$ dengan $x$ merupakan suhu pada siang hari. Kita diminta mencari suhu pada malam ha

1. **Stating the problem:** Suhu udara pada pukul 15.00 adalah $2x - 6$ dengan $x$ adalah suhu pada siang hari.

1. **Problem statement:** Given an arithmetic sequence where the 9th term $U_9 = N + 8$ and the sum of the first 9 terms $S_9 = 9 \times (N + 2)$, with $N=42$ (last two digits of N

1. **Stating the problem:** Given the morning temperature is $-4^\circ C$ and it increases by $9^\circ C$ by noon, find the temperature at 15:00 given by $2x - 6$ where $x$ is the

1. **State the problem:** Simplify the expression $-(-18)$. 2. **Understand the rule:** The negative of a negative number is a positive number. This is because multiplying two nega

1. The problem asks: Two numbers that are the same distance from 0 on the number line but are on opposite sides of 0 are called __________. 2. The key concept here is about numbers

1. **State the problem:** Find the difference in elevation between City A at 13,158 feet above sea level and City B at 18,180 feet below sea level.

1. The problem asks to find the absolute value of 14, written as $|14|$. 2. The absolute value of a number is its distance from zero on the number line, always non-negative.

1. The problem asks to simplify the expression $-(-18)$. 2. The expression has a negative sign outside the parentheses and another negative sign inside.

1. The problem is to simplify the expression: $$2 - 7(-9)$$. 2. Use the rule that multiplying a negative number by a negative number results in a positive number.

1. The problem asks to fill in the blanks for the meaning of the signs "<" and ">". 2. The sign "<" means "is less than" and the sign ">" means "is greater than".