Prove that if x is a real number, then x/2 /2 = x/4 .

Principles of General Chemistry 2
An Olympic-size pool is 50.0 m long and 25.0 m wide, (a) How many gallons of water (d = 1.0 g/mL) are needed to fill the pool to an average depth of 4.8 ft? (b) What is the mass (in kg) of water in the pool?

Chemistry: The Central Science 13
Consider the following XF4 ions: PF4 -, BrF4 -, ClF4 +, and AlF4 -. (a) Which of the ions have more than an octet of electrons around the central atom? (b) For which of the ions will the electrondomain and molecular geometries be the same? (c) Which of the ions will have an octahedral electron- domai

Microbiology: An Introduction 11
Which of the following is not a functionally analogous pair of stains? a. nigrosin and malachite green b. crystal violet and carbolfuchsin c. safranin and methylene blue d. ethanol-acetone and acid-alcohol e. none of the above

General, Organic, and Biological Chemistry: Structures of Life 4
Problem 72QP The molecules CH4 and CH3Cl both have tetrahedral shapes. Why is CH4 nonpolar whereas CH3Cl is polar?

Elementary Principles of Chemical Processes 3
The measured volumetric flow rate of ethane at 10.0 atm absolute and 35C is 1.00 X 103 Llh. Using an estimated value of the second virial coefficient in the truncated virial equation (Equation 5.3-4), (a) calculate V(Llmol); (b) estimate the compressibility factor, Z; and (c) determine the mass flow

Biology 8
Some bacteria are metabolically active in hot springs because a. they are able to maintain a lower internal temperature. b. high temperatures make catalysis unnecessary. c. their enzymes have high optimal temperatures. d. their enzymes are completely insensitive to temperature. e. they use molecules

Campbell Biology in Focus 2
In what way do the membranes of a eukaryotic cell vary? (A) Phospholipids are found only in certain membranes. (B) Certain proteins are unique to each kind of membrane. (C) Only certain membranes of the cell are selectively permeable. (D) Only certain membranes are constructed from amphipathic mo

Biochemistry 9
Is it good (or bad) that enzymes can be reversibly inhibited? Why?