🧮 algebra

1. **Énoncé du problème :** Calculer la valeur de $$\frac{0,02 \times 10^{-3} + 0,8 \times 10^{-4}}{0,05 \times 0,2 \times 10^{-3}}$$

1. **Énoncé du problème :** Calculer la valeur de l'expression $$\frac{0,02 \times 10^{-3} + 0,8 \times 10^{-4}}{0,05 \times 0,2 \times 10^{-3}}$$

1. Let's clarify the problem: You mentioned an expression involving $e$ and $\sin$, and you want to know if it is a simple term. 2. The presence of $e$ (the base of natural logarit

1. The problem asks for the sum of integers from 1 to 15. 2. We use the formula for the sum of the first $n$ natural numbers: $$S = \frac{n(n+1)}{2}$$ where $n=15$.

1. **Problem Statement:** We have 400 students in 2015 with 180 females. The region-wise breakup of students is given by angles: North = 126°, South = 144°, East and West = 90°. 2.

1. **Problem Statement:** We have 400 students in Loyola College in 2015, with 180 females. We know 20 girls weigh less than 31 kg. We want to find the percentage of boys weighing

1. Masalah yang diberikan adalah mencari nilai $x$ yang memenuhi pertidaksamaan $$2x + 4 \le 7$$. 2. Gunakan aturan pertidaksamaan linear: kita dapat mengisolasi $x$ dengan mengura

1. Let's start by understanding what nested surds are. A nested surd is a surd (an expression containing a square root) inside another surd, for example, $\sqrt{3 + \sqrt{5}}$. 2.

1. The problem is to understand and work with percentages: a) 25%, b) 60%, c) 50%, d) 25%. 2. A percentage represents a part out of 100. For example, 25% means 25 out of 100 or $\f

1. **Problem (a): Solve the recurrence relation** $$S(n) - 5S(n-1) + 6S(n-2) = 5n$$

1. Masalah: Diberikan lima bilangan ganjil berurutan yang jumlahnya 65. Bilangan kedua dalam urutan tersebut adalah $x$. Kita diminta mencari jumlah semua bilangan ganjil dalam uru

1. Masalah: Lima bilangan ganjil berurutan berjumlah 65. Jika bilangan kedua dalam urutan naik adalah $x$, cari jumlah semua bilangan ganjil dalam urutan tersebut. 2. Misalkan bila

1. Muammo: 3 ta misolni yeching. 2. Birinchi misolni tanlaymiz va yechamiz (masalan, $2x+3=7$).

1. Muammo: Agar $a > 0$ bo'lsa, quyidagi tengsizlikni isbotlang: $$\frac{a+9}{2} + \frac{a+16}{2} > 7\sqrt{a}$$

1. The problem asks to prove the inequality $$\frac{a+9}{2} + \frac{a+16}{2} > 7\sqrt{a}$$ for $a > 0$. 2. First, combine the fractions on the left side:

1. **State the problem:** Simplify the expression $$\sqrt{\left(4! + e^{\ln(32)}\right)^{-2} - \sin^2(0) + \frac{\log_2(64)}{\cos^2(0)}} + 2$$. 2. **Recall formulas and rules:**

1. **State the problem:** Simplify the fraction $\frac{597,250}{178,500}$. 2. **Formula and rules:** To simplify a fraction, divide numerator and denominator by their greatest comm

1. **State the problem:** Evaluate the expression $$\sqrt{\left(4! + e^{\ln(32)}\right)^2 - 2} - \sin^2(0) + \frac{\log_2(64)}{\cos^2(0)} + 2.$$\n\n2. **Recall formulas and rules:*

1. **Stating the problem:** Solve the equation and find the values of the variable. 2. **Formula and rules:** Since the problem is not explicitly given, we assume a general algebra

1. **ප්‍රශ්නය:** 5x/3 = x + 2 යන සමානතාව විසඳන්න. 2. **සූත්‍රය සහ නීති:** සමානතා විසඳීමේදී, x අගය සොයා ගැනීමට, සමානතාවයේ දෙපසම එකට සමාන කිරීමේ ක්‍රමය භාවිතා කරමු.

1. Let's start with the basics of algebra. Algebra is a branch of mathematics that uses symbols, usually letters, to represent numbers and express mathematical relationships. 2. A