最新の問題

数列 $\{a_n\}$ の極限を求める問題です。与えられた漸化式と初期条件に基づいて、(1)と(2)それぞれの数列の極限を求めます。

数列極限漸化式等差数列特性方程式
2025/4/22

与えられたブール代数の式を簡略化する問題です。式は次の通りです。 $\overline{A(A \cdot B)} + B(A \cdot B)$

ブール代数論理演算式の簡略化ド・モルガンの法則分配法則吸収則
2025/4/22

We are given a pole of height 33 m. Two points are located on opposite sides of the pole such that t...

TrigonometryAngle of ElevationRight TrianglesTangent FunctionWord Problem
2025/4/22

与えられた二つの絶対値を含む式を計算する問題です。 (1) $|\sqrt{5}-3||\sqrt{5}+3|$ (2) $|\sqrt{2}+|\sqrt{2}-2||$

絶対値式の計算平方根和と差の積
2025/4/22

We are given a diagram where $AOB$ is a straight line. We are also given the following angle measure...

AnglesStraight LineSystem of EquationsAlgebra
2025/4/22

Cindy earns an hourly wage of $9.75 and works 40 hours per week. She has Claim Code 1. We need to ca...

Basic ArithmeticIncome CalculationGross PayNet PayPercentage Calculation
2025/4/22

The problem presents three logarithmic equations: 1. $\log_4 x = 2$

LogarithmsExponential EquationsEquation Solving
2025/4/22

Solve for $x$ in the equation $(16x^6)^{\frac{1}{2}} = x$.

EquationsExponentsRadicalsFactoringSolving Equations
2025/4/22

We need to simplify the expression $(16x^6)^{\frac{1}{2}}$.

ExponentsSimplificationRadicalsPower of a Product RulePower of a Power Rule
2025/4/22

The problem states that the quadratic equation $ax^2 + bx + c = 0$ has a discriminant $b^2 - 4ac = -...

Quadratic EquationsDiscriminantComplex NumbersRoots of Equations
2025/4/22