1. You are assigned to take care of a patient who is scheduled to undergo a surgical operation. The doctor told you not to allow the patient to eat for twelve hours. How many minutes is the fasting period?

2. What is the density of a rock (in g/cm3) which has a volume of 2.5 m3 if its mass is 100 kg?

3. The proper dosage for drug X is 15 mg for every kg of body weight. If a patient weighs 150 lbs, how many grams of drug X should you give him?

1. 12h=12•60 = 720 min

2. ρ=m/V=100/2.5 =40 kg/m³=0.04 g/cm³
3. 150 lb= 68 kg
15mg=15•10^-3 g.
15•10^-3•68=1.02g

1. To calculate the fasting period in minutes, you need to convert the given 12 hours into minutes. Since there are 60 minutes in an hour, you can multiply 12 hours by 60 minutes to get the result.

12 hours x 60 minutes/hour = 720 minutes

Therefore, the fasting period is 720 minutes.

2. To find the density of an object, you need to divide its mass by its volume. In this case, you are given a mass of 100 kg and a volume of 2.5 m³. However, the units of volume need to be converted to match the units of mass.

1 m³ = 1000000 cm³ (since 1 meter equals 100 centimeters)

So, 2.5 m³ x 1000000 cm³/m³ = 2500000 cm³

Now, you can calculate the density by dividing the mass (100 kg) by the volume (2500000 cm³).

Density = Mass / Volume
= 100 kg / 2500000 cm³

To convert the units of density from g/cm³, divide the mass by 1000 (since there are 1000 grams in a kilogram).

Density = (100 kg / 2500000 cm³) / 1000
= 0.00004 g/cm³

Therefore, the density of the rock is 0.00004 g/cm³.

3. To calculate the number of grams of drug X, you first need to convert the patient's weight from pounds to kilograms. Since there are 2.20462 pounds in a kilogram, you can divide 150 lbs by 2.20462 to get the weight in kilograms.

Weight in kg = 150 lbs / 2.20462 kg/lb
= 68.04 kg (rounded to two decimal places)

Now, you can find the dosage of drug X by multiplying the patient's weight in kilograms by 15 mg/kg.

Dosage = 68.04 kg x 15 mg/kg
= 1020.6 mg (rounded to one decimal place)

Finally, you need to convert the dosage from milligrams to grams. Since there are 1000 milligrams in a gram, you can divide 1020.6 mg by 1000 to get the dosage in grams.

Dosage in grams = 1020.6 mg / 1000
= 1.0206 grams (rounded to four decimal places)

Therefore, you should give the patient approximately 1.0206 grams of drug X.