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The problem consists of two exercises. Exercise 1 deals with sequences. A sequence $U_n$ is defined ...

SequencesLimitsFunctionsDerivativesIntegralsAsymptotesGeometric SequencesExponential FunctionsLogarithmsArea Calculation
2025/3/7

The problem provides the following information about a soil mass: moisture content ($w = 21\% = 0.21...

Soil MechanicsGeotechnical EngineeringUnit WeightDegree of SaturationMoisture ContentVolume Relationships
2025/3/7

$a$ を求める問題です。与えられた方程式は、$\frac{\frac{a}{\sqrt{3}}}{2} = \frac{2\sqrt{2}}{\frac{1}{6}}$ です。

方程式平方根有理化変数
2025/3/7

The problem asks to estimate the difference between the given fractions $4\frac{3}{23}$ and $\frac{1...

FractionsEstimationApproximation
2025/3/7

The problem asks us to estimate the sum of the fractions $\frac{13}{14}$ and $\frac{2}{21}$ using th...

FractionsEstimationBenchmarks
2025/3/7

The problem asks to estimate the mixed number $4\frac{6}{11}$ using the benchmarks $0$, $\frac{1}{2}...

FractionsEstimationMixed NumbersBenchmarks
2025/3/7

The problem asks us to find which of the following fractions: $\frac{4}{15}$, $\frac{7}{15}$, $\frac...

FractionsComparisonDistance
2025/3/7

A bridge of length $5\frac{1}{2}$ km was to be constructed. Company A constructed $2\frac{4}{5}$ km ...

FractionsMixed NumbersWord ProblemAdditionSubtraction
2025/3/7

Jordan planned to practice ice skating for 30 hours in a month. He practiced for $7\frac{3}{4}$ hour...

FractionsMixed NumbersAdditionSubtractionWord Problem
2025/3/7

The initial weight of a fruit bag is $\frac{7}{10}$ kg. Emily adds more fruits, and the new weight i...

FractionsSubtractionWord Problem
2025/3/7