QuestionConvert $0.573 \mu \mathrm{L}$ to $\mathrm{qt}$ and $9,031 \mathrm{~mm}$ to $\mathrm{km}$ .

Studdy Solution

STEP 1

Assumptions1. The conversion factors are as follows -1 quart (qt) = $9.46352946 \times10^{-7}$ microliters (μ) -1 kilometer (km) =1,000,000 millimeters (mm)

STEP 2

First, we convert microliters (μ) to quarts (qt). We can do this by multiplying the given volume in microliters by the conversion factor.
$Volume_{qt} = Volume_{\mu L} \times Conversion\, factor_{\mu L\, to\, qt}$

STEP 3

Now, plug in the given values for the volume in microliters and the conversion factor to calculate the volume in quarts.
$Volume_{qt} =0.573 \mu L \times9.46352946 \times10^{-7} qt/\mu L$

STEP 4

Calculate the volume in quarts.
$Volume_{qt} =0.573 \mu L \times9.46352946 \times10^{-7} qt/\mu L =.42 \times10^{-7} qt$

STEP 5

Next, we convert millimeters (mm) to kilometers (km). We can do this by dividing the given length in millimeters by the conversion factor.
$Length_{km} = Length_{mm} / Conversion\, factor_{mm\, to\, km}$

STEP 6

Now, plug in the given values for the length in millimeters and the conversion factor to calculate the length in kilometers.
$Length_{km} =9031 mm /1,000,000 mm/km$

STEP 7

Calculate the length in kilometers.
$Length_{km} =9031 mm /1,000,000 mm/km =0.009031 km$ The solutions are $5.42 \times10^{-7}$ quarts and $0.009031$ kilometers.

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