Subjects

ðŸ§Ū algebra

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Geometric Sequences
1. Mia has a geometric sequence of pie slice volumes where the second slice volume is $u_2=30$ cmÂģ and the fifth slice volume is $u_5=240$ cmÂģ. 2. Recall the general formula for th
Percentuele Verhoging
1. Het probleem is om R180 te verhogen met 12%. 2. Bereken eerst 12% van R180 met de formule $$12\% \times 180 = 0{,}12 \times 180 = 21{,}6$$.
Solve Linear Equation
1. State the problem: Solve the equation $23n = 1000$ for $n$. 2. To isolate $n$, divide both sides of the equation by 23:
Procent Berekenen
1. Het probleem is om 18% van 383 te berekenen. 2. Procent betekent per honderd, dus 18% = 18/100 = 0.18.
Quadratic Practice
1. Solve $x^2 - 9x + 14 = 0$ by factoring: Factor the quadratic: $x^2 - 9x + 14 = (x-7)(x-2) = 0$
Budget Spending
1. **State the problem:** Leon has a total salary of 6000. He spends 800 on bills, 800 on entertainment, and saves 1200.
Evaluate Expression
1. The problem states: Given the expression $n - s = 5$ and $n - s = 20 \, 22.5$ with the term "Enolate (3+2) 18 M ->" and the solution hint as $(3(1)+2)\, 18\, M -> 1$, we need to
Ensembles Equations
1. ÉnoncÃĐ du problÃĻme : Soit $B = \{2n^2, n \in \mathbb{N}\}$. 2. a) Trois ÃĐlÃĐments de $B$ lorsque $n=0,1,2$ sont :
Missing Problem
1. The problem statement is missing; please provide the algebraic or mathematical expression to solve. 2. Once the problem is provided, I will break down the solution step-by-step
Fruit Price
1. āŠļāŠŪāŠļāŦāŠŊāŠū: 3 āŠļāŠŦāŠ°āŠœāŠĻ āŠ…āŠĻāŦ‡ 2 āŠļāŠ‚āŠĪāŠ°āŠūāŠĻāŦ€ āŠ•āŠŋāŠ‚āŠŪāŠĪ â‚đ17 āŠ›āŦ‡ āŠ…āŠĻāŦ‡ 5 āŠļāŠŦāŠ°āŠœāŠĻ āŠ…āŠĻāŦ‡ 3 āŠļāŠ‚āŠĪāŠ°āŠūāŠĻāŦ€ āŠ•āŠŋāŠ‚āŠŪāŠĪ â‚đ27 āŠ›āŦ‡. āŠĪāŦāŠŊāŠū āŠŦāŦ‹āŠĻ āŠŠāŠ° āŠāŠ• āŠļāŠ‚āŠĪāŠ°āŠūāŠĻāŦ€ āŠ•āŠŋāŠ‚āŠŪāŠĪ āŠķāŦ‹āЧāŠĩāŦ€ āŠ›āŦ‡. 2. āŠšāŠūāŠēāŦ‹, āŠŪāŠūāŠĻāŦ€āŠ āŠļāŠŦāŠ°āŠœāŠĻāŠĻāŦ€ āŠ•āŠŋāŠ‚āŠŪāŠĪ āŠ›āŦ‡ $x$ āŠ…āŠĻāŦ‡ āŠļāŠ‚āŠĪāŠ°āŠūāŠĻāŦ€ āŠ•āŠŋāŠ‚āŠŪāŠĪ āŠ›
Different Bases
1. Let's state the problem clearly: We want to analyze expressions where two different bases are raised to the same exponent. For example, consider the expression $$a^x = b^x$$ whe
Indices Rules
1. The problem is to solve expressions involving indices (powers or exponents). 2. Indices follow rules such as multiplying same bases by adding powers: $a^m \times a^n = a^{m+n}$,
Solving Expressions
1. The first expression is $3x2^2 = 6H$. 2. Calculate the power term: $2^2 = 4$.
Simplify Rational
1. Stated problem: Simplify the expression $\frac{x^5+2x^3+3x+1}{x^3+1}$. 2. Factor the denominator $x^3+1$: Using the sum of cubes formula, $a^3+b^3=(a+b)(a^2-ab+b^2)$, we get
Simplify Expression
1. The problem is to simplify the expression $$\frac{x^5 + 2x^3 + 3x + 1}{x^3}$$. 2. We can simplify this by dividing each term in the numerator by $x^3$ separately:
Sum Integers
1. The problem is to find the sum of the numbers $-760$, $320$, and $-80$. 2. Start by adding the first two numbers:
Net Elevation Change
1. The problem is to find the net elevation change when moving 800 feet below, then 450 feet above, then 100 feet below, and finally 210 feet above. 2. Represent the changes as sig
Gemdas Operations
1. Calculate $90 \div (3 \times 3) - 3^2$. First, inside the parentheses: $3 \times 3 = 9$.
Polynomial Simplification
1. We are given the polynomial expression: $$4x^4 + 0x^3 + 0x^5 + 5x + 7$$. 2. First, simplify the polynomial by removing terms multiplied by zero: $$4x^4 + 5x + 7$$.
Quadric Line Constraint
1. **State the problem:** We are given the equation of a quadratic surface:
Solve Inequality
**Problem:** Solve the inequality given by $$2(3x + 2) - 20 > 8(x - 3)$$