🧮 algebra

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

1. Let's start by understanding what you want to learn in math. Since you didn't specify a topic, I'll introduce a simple algebra problem to get you started. 2. Problem: Solve for

1. **Stating the problem:** You asked for help with algebra, but no specific problem was given. Let's consider a common algebra problem: solving a linear equation. 2. **Example pro

1. **Problem Statement:** We have three pipes: A and B are inlet pipes filling the tank, and C is an outlet pipe draining the tank. Pipe C is connected above 33 1/3% capacity of th

1. **State the problem:** We are given a determinant equation involving $\lambda$:

1. The problem asks: What is the equation if the highest degree is one? 2. In algebra, the degree of an equation is the highest power of the variable in the equation.

1. **State the problem:** Find the value of $y$ when $x=5$ in the equation $$3x + 2y = 25$$. 2. **Formula and rules:** We will substitute $x=5$ into the equation and solve for $y$.

1. **State the problem:** We are given the linear equation $$3y - 4x = 24$$ and asked to find the value of $$y$$ when $$x = -3$$. 2. **Formula and rules:** The equation is linear a

1. **State the problem:** We need to find the current ages of Noori and Sonu given two conditions: - 5 years ago, Noori was three times as old as Sonu.

1. The user has listed 21 topics related to Chapter 1: Prime numbers, HCF, LCM. 2. These topics cover index notation, prime factorization, square roots, cube roots, HCF, LCM, and t

1. **Plantear el problema:** Se nos da la ecuación $$\log_{10}(35156552.16) = (-1.645)0.35 + (7.35 \times \log_{10}(d+25.4)) - 10.39 + \frac{\log_{10}\left(\frac{1.50}{4.5-1.5}\rig

1. The problem gives the arithmetic series: $$3 + 8 + 13 + \dots + 218 + 223$$ and asks to express the general term $$a_k$$ in terms of $$k$$ and find the number of terms $$n$$. 2.

1. The problem states that Justin runs at a constant rate, covering 17 km in 2 hours. 2. We want to find an equation relating distance $d$ (in km) and time $h$ (in hours).

1. The problem states that Flannery used 30 lilies and 78 roses to create six identical flower arrangements. 2. We need to write an equation relating $l$, the number of lilies per

1. The problem states that Flannery used 30 lilies and 78 roses to create six identical flower arrangements. 2. We need to write an equation relating $l$, the number of lilies, and

1. **Problem statement:** Esther paints 7 faces every 21 minutes, spending the same amount of time on each face. We want to write an equation relating $f$, the number of faces pain