Dan watched a beetle and a spider on the sidewalk. The beetle crawled ( 11)/(2) yards and the spider crawled ( 1)/(4) of a yard. How much farther did the beetle crawl than the spider? Write your answer as a fraction or as a whole or mixed number. yards.

Bacteria and other prokaryotes are found deep underground, in water, and in the air. One micron (10-6 m) is a typical length scale associated with these microbes. (a) Estimate the total number of bacteria and other prokaryotes onthe Earth. (b) Estimate the total mass of all such microbes.

a.     A painter uses 4.5 litres of paint to cover a wall with an area of 50 m2. Calculate the average rate of paint coverage in m2/L. b     The painter works for 1.5 hours and then rests for half an hour before completing the painting in another hour. Find the average rate at which the painter paints the wall in m2/h.

An Olympic-size swimming pool is 50 m long, 25 m wide, and 2 m deep. In terms of volume, this pool, when full, holds how many kilogallons of water? Use the following equivalences: 1 gallon = 3.8 L     1 kilogallon = 103 gallon      1 L = 103 mL     for water: 1 mL = 1 cm3      1 m = 100 cm   [Numerical Problem: Just write the numerical answer without units. Express your answer to 2 significant figures in standard notation]

Suppose a man's scalp hair grows at a rate of 0.50 mm per day. What is this growth rate in feet per century? Number Units

A right circular cylinder has a diameter of 1.1 in and a height of 8 ft. (a) What is the volume of the cylinder in cubic feet? .................... ft3(b) What is the volume in cubic meters? ................. m3(c) What is the volume in liters? ........................ L

The extraterrestrials in an exoplanet in a distant galaxy have the following units to measure distances.1 dray = 12 elim; 1 toof = 24 dray; 1 chin = 1250 toof. a. Convert 2.4 chin to elim. __________________ elim b. The alien grows vegetables in 16.0 square dray (i.e., dray2) patch. Calculate the area of the patch insquare elim (i.e., elim2).____________ clim2

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:

Grass grows densely everywhere on a 0.300 acre plot of land. What is the approximate number of blades of grass on this plot of land? Suppose each blade occupies 1/10 in2 of area. (1 acre = 43 560 ft2.) With Significant Figures considered.

A bacteria colony which is unrestricted in its growth will grow out in a circular manner. The population ?(?) of the colony at time t is directly proportional to the area of the circle. Suppose that a particular bacteria grows in such a way that the population is 1.3 times larger each day, and that initially (t=0) the colony has a diameter of 4 centimeter and a population of 7 million. a) Find the Population and Diameter of the colony on the fifth day. b) Find the Rate of Change of the Population and Diameter of the colony on the fifth day. c) Unrestricted growth models are often impractical as values will quickly become unreasonable. On what day does our model predict that the area of the bacteria colony will be 1 square mile?