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🧮 algebra

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Cgpa Calculation
1. Start by stating the problem: We need to find the CGPA for the given marks considering that 85/100 is equivalent to a GPA of 4.00. 2. Convert each mark to a GPA on a 4.00 scale.
Logarithm Expression
1. **State the problem:** We need to express the expression $3 \log x - \frac{1}{2} \log y + 1$ as a single logarithm. 2. **Rewrite the constant term as a logarithm:** Recall that
Gpa Calculation
1. The given data includes marks out of various total marks: - 60/100
Linear Equation
1. Let's start by understanding what "grade 9" math typically includes. It often covers algebra topics such as solving linear equations, working with polynomials, and understanding
Paint Cost Room
1. **State the problem:** We need to find the cost of painting the walls of a room with dimensions 4.38 m length, 3.74 m width, and 2.36 m height. The room has two doorways and thr
Fraction Equation
1. We start with the equation: $$\frac{x}{a} + \frac{a}{x} = \frac{a}{b} + \frac{b}{a}$$
Multiple Conversions Calculations
1. Problem 1: Find the volume and surface area of a cylinder with radius $r=4$ cm and height $h=10$ cm, using $\pi = 3.14$. Step 1: Recall formulas:
Solve Equations
1. Solve \(3(2x - 1) - 2(x + 4) = 6\). Distribute: \(6x - 3 - 2x - 8 = 6\).
Solve Radical
1. Stating the problem: Solve the equation $$\frac{\sqrt{8}}{\sqrt{x-1}} - \sqrt{2} = \sqrt{2}$$ for $x$.
Reciprocal Roots
1. مسئله: باید مقدارهایی از $m$ را پیدا کنیم که معادله $$2 = m^2 + 3x + m x^2$$ ریشه‌های حقیقی داشته باشد که معکوس یکدیگر باشند. 2. ابتدا معادله را به شکل استاندارد معادله درجه دو
Bird Speed
1. مسئله این است که سرعت پرنده در هوای آرام را پیدا کنیم که یک مسیر 1 کیلومتری را با باد موافق و مخالف پرواز کرده و مدت زمان کل رفت و برگشت 9 دقیقه است. 2. فرض کنیم سرعت پرنده در ه
Sum Real Roots
1. مسئله را بیان می‌کنیم: \n می‌خواهیم مجموع ریشه‌های حقیقی معادله $$72 + (x^2 + x)^2 - 18(x^2 + x) = 0$$ را بیابیم و گزینه درست را انتخاب کنیم.\n
Gcd Euclidean
1. Find gcd(252, 198) using the Euclidean Algorithm: - Compute $252 \div 198 = 1$ remainder $54$.
Prime Factorization Gcf
1. **Problem:** Find the prime factorization of 48 and 60 using exponents, then find the greatest common factor (GCF). 2. Prime factorization of 48:
Gcf Listing
1. **Find the GCF of 24 and 36 using Listing Factors Method** - List factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Gcf Euclidean Extended
1. **Stating the Problem:** Find the GCF of 24 and 36 using the listing factors method. 2. **Prime Factorization:**
Profit Ratio
1. समस्या: \n\nश्री A ने एक वस्तु 384 रुपये में खरीदी और उसे 576 रुपये में बेचा।\nश्री B ने दूसरी वस्तु 1,254 रुपये में खरीदी और उसे 1,672 रुपये में बेचा।\n\nA के प्रतिशत लाभ और B
Quadratic Analysis
1. The problem involves analyzing the quadratic function related to the given video link. 2. State the quadratic function: Suppose the function is $y = ax^2 + bx + c$.
Hcf Lcm Inequalities
1. Find the H.C.F of $(z - 1)(z^2 + 1)$ and $4(z^2 - 1)$. Factor expressions:
Mean Factors
1. **State the problem:** Find the mean (average) of all factors of 24. 2. **List all factors of 24:** Factors are numbers that divide 24 without remainder. They are 1, 2, 3, 4, 6,
Digit Inverse
1. We are given the equation $$\frac{0.25 + 0.125}{0.05} = A.5$$ where $A$ is a digit. 2. First, simplify the numerator: $$0.25 + 0.125 = 0.375$$.