Show that if 2n- 1 is prime, then n is prime. [Hint: Use

Introductory Chemistry 5
Consider the reaction: \(\mathrm{Mg}(s)+2~\mathrm{HCl}(aq) \longrightarrow \mathrm{MgCl_2}(aq)+\mathrm{H_2}(g)\) What minimum amount of 1.85 M HCl is necessary to produce 28.5 L of \(\mathrm H_2\) at STP? Equat

College Physics 1
Problem 2PE (a) When rebuilding her cars engine, a physics major must exert 300 N of force to insert a dry steel piston into a steel cylinder. What is the magnitude of the normal force between the piston and cylinder? (b) What is the magnitude of the force would she have to exert if the steel parts

Principles of General Chemistry 2
Calculate each of the following quantities: (a) Mass in grams of \(8.42 \mathrm{~mol}\) of chromium(III) sulfate decahydrate (b) Mass in grams of \(1.83 \times 10^{24}\) molecules of dichlorine heptaoxide (c) Number of moles and formula units in \(6.2 \mathrm{~g}\) of lithium sulfate (d) Numb

Fundamentals of Statistics 4
Problem 25AYU Problem Talk to the Animals In a survey conducted by the American Animal Hospital Association, 37% of respondents stated that they talk to their pets on the answering machine or telephone. A veterinarian found this result hard to believe, so he randomly selected 150 pet owners and dis

Chemistry 11
The speed of sound in air at room temperature is about 343 m/s. Calculate this speed in miles per hour. (1 mi = 1609 m.)

Myers' Psychology for AP 2
Different therapies rely on different underlying psychological perspectives about causes and explanations of thinking and behavior. List at least one specific therapeutic technique for each of the psychological approaches below and explain how that technique uses that psychological approach. Biologi

Biology 11
Which of the following elements is mismatched with its properties or function? (a) carbonforms the backbone of organic compounds (b) nitrogencomponent of proteins (c) hydrogenvery electronegative (d) oxygencan participate in hydrogen bonding (e) all of the above are correctly matched

Human Biology 11
The contraction phase of the heartbeat is _________; the relaxation phase is __________.