Paula calculated that a large oak tree can transpire $4.15 \times 10^5$ milliliters of water per day. We need to find the most appropriate unit for Paula to use instead of milliliters per day.

Applied MathematicsUnit ConversionScientific NotationRate
2025/4/28

1. Problem Description

Paula calculated that a large oak tree can transpire 4.15×1054.15 \times 10^5 milliliters of water per day. We need to find the most appropriate unit for Paula to use instead of milliliters per day.

2. Solution Steps

We are given the transpiration rate as 4.15×1054.15 \times 10^5 milliliters per day. We want to find a more appropriate unit.
First, let's convert milliliters to liters. We know that 1 liter = 1000 milliliters.
Therefore, we can convert milliliters to liters by dividing by 1000:
4.15×105 milliliters/day=4.15×1051000 liters/day=4.15×102 liters/day=415 liters/day4.15 \times 10^5 \text{ milliliters/day} = \frac{4.15 \times 10^5}{1000} \text{ liters/day} = 4.15 \times 10^2 \text{ liters/day} = 415 \text{ liters/day}.
Now, let's convert days to hours. We know that 1 day = 24 hours.
Therefore, we can convert liters per day to liters per hour by dividing by 24:
415 liters/day=41524 liters/hour17.29 liters/hour415 \text{ liters/day} = \frac{415}{24} \text{ liters/hour} \approx 17.29 \text{ liters/hour}.
The options given are:
- milliliters per hour
- liters per hour
- liters per second
- liters per year
Since 4.15×1054.15 \times 10^5 milliliters per day is equal to 415 liters per day, and we calculated it to be about 17.29 liters per hour, "liters per hour" seems to be the most appropriate unit. Milliliters per hour would be a very small number, and liters per second would also be quite small. Liters per year would be a very large number.

3. Final Answer

liters per hour

Related problems in "Applied Mathematics"

A cylindrical container with small holes drilled vertically is filled with water, as shown in the fi...

Fluid DynamicsBernoulli's PrinciplePhysicsVelocityProjectile MotionDimensional Analysis
2025/7/22

The problem describes a scenario involving a container with water jets emanating from it at differen...

Fluid DynamicsTorricelli's TheoremProjectile MotionOptimizationPhysics
2025/7/22

A cylindrical tank has small holes drilled vertically along its side, as shown in the diagram. The t...

Fluid DynamicsBernoulli's EquationHydrostaticsPhysicsDimensional Analysis
2025/7/22

The problem is to solve the partial differential equation: $\frac{\partial^2 u}{\partial x^2} + \fra...

Partial Differential EquationsLaplace's EquationSeparation of VariablesBoundary ConditionsCalculus
2025/7/22

The problem requires using the Capital Asset Pricing Model (CAPM) to solve for different variables i...

FinanceCAPMFormula ApplicationPercentage Calculation
2025/7/22

Jamie Wong is building an investment portfolio containing two stocks: Stock L and Stock M. Stock L w...

Portfolio ManagementWeighted AverageFinancial ModelingPercentage Calculation
2025/7/22

The problem asks us to fill in the blanks with either $g$ (grams) or $kg$ (kilograms) to make the st...

Units of MeasurementWeightConversion
2025/7/17

Warda walks at an average speed of 3 km/hr for 45 minutes before running for half an hour at a certa...

Word ProblemDistanceSpeedTimeRateLinear Equations
2025/7/16

Determine the vertical displacement at the point $I$ of the given structure, due to the effect of th...

Structural AnalysisDeflectionBeam TheoryVirtual WorkEngineering Mechanics
2025/7/16

The problem asks to determine the vertical displacement at point I (which I assume is at the top of ...

Structural MechanicsCastigliano's TheoremBeam BendingStrain EnergyDeflectionIntegration
2025/7/16