最新の問題
Kさんが家から駅まで行く。道のりの半分までは分速75mで歩き、残りの半分は分速150mで走った。駅に着くまでに15分かかったとき、家から駅までの道のりを求める。
方程式速さ道のり文章問題
2025/3/19
The problem describes a cylinder with a diameter of $14 cm$ and a length of $25 cm$. We need to find...
CylinderCircumferenceVolumeAreaCircle3D Geometry
2025/3/19
The problem is to determine the quotient and remainder when the polynomial $3x^3 - 5x^2 - 7x - 1$ is...
Polynomial DivisionPolynomialsAlgebraic ManipulationRemainder Theorem
2025/3/19
The problem describes a cylinder with diameter $d = 10$ cm and length (height) $h = 38$ cm. We need ...
CylinderCircumferenceVolumeSurface AreaArea
2025/3/19
(1) 不定積分 $\int 2x \, dx$ を求める問題。 (2) $f(x) = -3x+2$ を導関数とする関数 $F(x)$ で、$F(0)=3$ を満たすものを求める問題。
不定積分積分導関数積分定数関数
2025/3/19
The problem asks to express the fraction $\frac{3\sqrt{2}-\sqrt{3}}{2\sqrt{3}-\sqrt{2}}$ in the form...
RationalizationSimplificationRadicalsFractions
2025/3/19
The problem contains multiple sub-problems: (a) Given $m = \binom{-2}{3}$ and $n = \binom{-3}{4}$, f...
CombinationsTriangle PropertiesMeanSquare RootsSimple InterestExponentsSurface AreaArithmetic Operations
2025/3/19
The problem requires solving a system of two linear equations with two variables, $x$ and $y$, using...
Linear EquationsSystems of EquationsElimination MethodSolving Equations
2025/3/19
We are asked to solve the following system of linear equations: $8x - 4y = 6$ $12x - 6y = 9$ If ther...
Linear EquationsSystems of EquationsSolution SetsDependent System
2025/3/19
We are asked to solve the following system of equations: $x + 2y = 2$ $3x + 6y = 8$ If the system ha...
Systems of EquationsLinear EquationsElimination MethodContradiction
2025/3/19