🧮 algebra

1. **Problem 16:** Thomas's monthly salary $S$ is a linear function of the number of tablets sold $n$. Given points: $(6, 8160)$ and $(13, 12080)$. Find $S$ when $n=18$ and check i

1. Let's clarify the problem first: it seems there was confusion about the equation $y = a + 2d = 19$. 2. This equation likely comes from an arithmetic sequence where $y$ is the th

1. **State the problem:** Simplify the expression $\frac{2^3 \times 2^4}{2^2}$. 2. **Recall the laws of exponents:**

1. Let's clarify how to get $a^3$ when working with exponents. 2. The expression $a^3$ means $a$ multiplied by itself 3 times: $$a^3 = a \times a \times a$$

1. **State the problem:** We have an arithmetic series $A$ where the 3rd term is 19 and the sum of the first 10 terms is 290. We need to find the 10th term of $A$. 2. **Recall form

1. **State the problem:** Evaluate the expression $$4v(-2) + 6(-2v)$$ for $$v=7$$. 2. **Write the expression with the given value:** Substitute $$v=7$$ into the expression:

1. **Problem statement:** We are given an arithmetic series $A$ where the 3rd term is 19 and the sum of the first 10 terms is 290. We need to find the 10th term of the series. 2. *

1. **State the problem:** Evaluate the expression $4y - 5 - 2y(-4)$ for $y = 3$. 2. **Step 1: Simplify the expression using the correct order of operations.**

1. **State the problem:** Evaluate the expression $$4v(-2) + 6(-2v)$$ for $$v=7$$. 2. **Write the expression with the given value:** Substitute $$v=7$$ into the expression:

1. **Stating the problem:** Simplify and analyze the given algebraic expression involving multiple variables and trigonometric functions: $$-2h_1\sigma_1^2\pi + 48h_1^2\alpha_4\bet

1. **Stating the problem:** Simplify and analyze the given algebraic expression involving multiple variables and trigonometric functions: $$-2h_1\sigma_1^2\pi + 48h_1^2\alpha_4\bet

1. The problem is to understand and analyze the function $F(x,y) = Lh x + e^{\frac{y}{a}}$. 2. Here, $Lh$ is a constant multiplier for $x$, and $e^{\frac{y}{a}}$ is the exponential

1. The problem is to find how many words should be in the answer to each question if the total words to cover range from 1000 to 8000 words across 4 questions. 2. We use the formul

1. **Stating the problem:** We want to analyze the function $$y = \ln\left(\frac{\sin x - 1}{\sin x + 1}\right)$$ and understand its domain and behavior. 2. **Formula and rules:**

1. **State the problem:** Solve the linear equation $$2x + 1 + 2x - 1 = 5$$. 2. **Combine like terms:** Group the terms with $x$ and the constants separately.

1. Problem statement: A train travels 240 km but in bad weather its speed is reduced by 20 km/h so it took 2 hours longer to reach the destination than usual; find the normal speed

1. Let's clarify the problem: you asked "how this equal thiss" which seems to be about understanding why two expressions are equal. 2. To help you, please provide the exact express

1. We are given the function $$f(x) = (x + 1)^2 (x - 1)(x - 3)$$ and asked to analyze it. 2. The function is a polynomial expressed as a product of factors. To understand its behav

1. **Постановка задачи:** Решить систему уравнений е): $$\frac{2x + y - 1}{4} = 2x - y + 3 = 2$$

1. The problem asks to solve for C and E, but no specific equations or context were provided. 2. To assist you properly, please provide the equations or expressions involving C and

1. **State the problem:** Factor each of the six given trinomials. 2. **Recall the factoring formula for perfect square trinomials:**