A typical human cell is approximately 12.00 μm in diameter and enclosed by a membrane that is 9.000 nm thick. What is the volume of the cell including the membrane? To simplify the calculations, model the cell as a sphere. total volumetotal volume: ? What is the volume of the cell membrane? membrane volume: What percent of the total volume does its membrane occupy? membrane percentage:

For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?

DEA agents watch drug smugglers load cocaine onto a fishing boat in a Mexican river to transport it down the river to the ocean, and then to Miami. To estimate how much cocaine was loaded, they measure how much further the boat sinks into the water after being loaded. If the boat’s area at the waterline is 50 m2 and it sinks by 2 cm, how much cocaine was loaded?

Density is how much you have in a volume. If I put 14.76 kilogram(s) of carbon dioxide in an empty 2.11 m3 bottle, what is the density of the gas after filling it? Round to nearest 2 decimals.

DEA agents watch drug smugglers load cocaine onto a fishing boat in a Mexican river to transport it down the river to the ocean, and then to Miami. To estimate how much cocaine was loaded, they measure how much further the boat sinks into the water after being loaded. If the boat’s area at the waterline is 50 m2 and it sinks by 2 cm, how much cocaine was loaded?

To practice using the prefixes in Table 1.1, complete the following puns. a. What do you call 10° phones? b. What do you call 10-12 lo? c. What do you call 2000 mockingbirds? d. What do you call 0.000001 fish? e. What do you call 1,000,000,000,000 pins?

An auditorium is 45 meters wide and 60 meters long. The COVID- 19 code requires 1.4 meter radius space for each person occupying the auditorium. What is the searing capacity of the auditorium? (Hint: find the 1.4 meter radius area and divide with the auditorium area available.)

The population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint:

(Module 3 Page Write en mumiber in scientific notation. Order of Magnitude Estimates. Make order of magnitude estimates of the following quantities. Explain the assumptions you use in your estimates. The amount of water you drink in a year. (Modul

Suppose you have a culture of bacteria, where the density of each bacterium is 2.0 g/cm³. a. If each bacterium is 5µm × 5µm × 20µm in size, find the number of bacteria if their total mass is 30 grams. Recall that 1µm = 10−6 meters. b. Suppose that you learn that the sizes of bacteria range from 4µm × 5µm × 15µmto5µm × 6µm × 25µm. What is the range of the possible number of bacteria making up the total mass of 30 grams?