🧮 algebra

1. The problem is to solve the equation $$\sin(0.5t) + 0.3t = 1$$ for the variable $t$. 2. This is a transcendental equation because it involves both a trigonometric function and a

1. The problem asks to find the sum of the integers from 1 to 5. 2. We use the formula for the sum of the first $n$ natural numbers: $$S = \frac{n(n+1)}{2}$$ where $n$ is the last

1. **State the problem:** Simplify the expression $4x + 7x - 2y + 5y$. 2. **Formula and rules:** To simplify algebraic expressions, combine like terms. Like terms have the same var

1. Diberikan sistem persamaan linear: $$4y - 9x = 34$$

1. Diberikan sistem persamaan: $$4y + 9x = 34$$

1. Masalah: Susun angka-angka berikut ke dalam sebuah matriks. 2. Angka yang diberikan adalah: $-0.0322$, $0.0000196$, $-10.0715$, $-0.000039$, $0.8876$, $-0.00127$.

1. Diberikan fungsi $f(x)=3x^5-5x^3+1$. Kita diminta menentukan interval di mana fungsi meningkat, menurun, konkaf ke atas, konkaf ke bawah, serta titik maksimum lokal/global, mini

1. The problem involves finding the sum of two fractions: $\frac{1}{2}$ and $\frac{1}{3}$.\n\n2. To add fractions, we need a common denominator. The denominators are 2 and 3, so th

1. The problem is to calculate the total work done when 15 workers work for 28 days. 2. The formula used here is: $$\text{Work} = \text{Number of workers} \times \text{Number of da

1. Masalah: Selesaikan persamaan $x^2 - 11 = 0$ menggunakan metode Interval Bagi-Dua dengan interval awal $x_0 = 1$ dan $x_1 = 3$. 2. Metode Interval Bagi-Dua (Metode Bisection) di

1. The problem is to solve the equation $x - 12 = 7$ using the unitary method. 2. The unitary method involves finding the value of one unit and then using it to find the value of t

1. **Nyatakan masalah:** Kita diminta mencari nilai $y_2$ dari persamaan berikut: $$30.84 = 1 \times \left(\frac{26.01 + 38.01}{2} \times \frac{38.01 + 2y_2}{2}\right)^{\frac{5}{3}

1. The problem is to evaluate $\log_{40}(3.3)$. 2. The logarithm $\log_b(a)$ answers the question: "To what power must we raise $b$ to get $a$?"

1. The problem is to evaluate the expression $K \approx 1 + 3.3 \log x(40)$. 2. Here, $\log$ typically means the base-10 logarithm. The expression suggests $x$ is a function or var

1. The problem asks to apply sequential transformations to the graph of $y=3x$ and write the resulting equation at each step. 2. Start with the original function:

1. مسئله: شما درخواست معادله را دارید. 2. معادله به صورت کلی می‌تواند به شکل‌های مختلفی باشد، مثلاً معادله خطی، درجه دوم، یا معادله‌های دیگر.

1. **Stating the problem:** We need to find which schools have a difference between the number of male and female students without glasses less than 10. 2. **Given data:**

1. Problema: Graficar y encontrar el dominio y rango de la función $f(x) = 3x + 1$. 2. Fórmula y reglas: Esta es una función lineal con fórmula general $f(x) = mx + b$, donde $m$ e

1. **Problem:** Determine the degree and multiplicity of each root for the polynomial \(h(t) = -3t^3 (t + 2)(t + 5)\). 2. **Step 1: Identify the degree of the polynomial.**

1. **State the problem:** Factor the quadratic expression $x^2 - 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. The problem asks which graph has a slope that best represents the rate of $8$ per car for parking. 2. The slope of a line represents the rate of change, calculated as $\text{slo