Show that G H is Abelian if and only if G and H are

Introductory Chemistry 5
A backpacker wants to carry enough fuel to heat 2.5 kg of water from \(25\ ^{\circ}\mathrm{C}\) to \(100.0\ ^{\circ}\mathrm{C}\). If the fuel she carries produces 36 kJ of heat per gram when it burns, how much fuel should she carry? (For the sake of simplicity, assume that the transfer of heat is 100

Organic Chemistry 2
Compound A has molecular formula C7H14O and reacts with sodium borohydride in methanol to form an alcohol. The 1 H NMR spectrum of compound A exhibits only two signals: a doublet (I = 12) and a septet (I = 2). Treating compound A with 1,2-ethanedithiol (HSCH2CH2SH) under acidic conditions, followed b

Sears and Zemansky's University Physics with Modern Physics 13
Problem 26E A harmonic oscillator has angular frequency ? and amplitude A. (a) What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (b) How often does this occur in each cycle? What is the time

Chemistry 11
Tin(II) fluoride (\(\mathrm{SnF}_{2}\)) is often added to toothpaste as an ingredient to prevent tooth decay. What is the mass of F in grams in 24.6 g of the compound?

Physics 4
A 65-kg skier speeds down a trail, as shown in Figure 526. The surface is smooth and inclined at an angle of 22with the horizontal. (a) Find the direction and magnitude of the net force acting on the skier. (b) Does the net force exerted on the skier increase, decrease, or stay the same as the slope

Campbell Biology in Focus - Standalone book 1
Herbivory (plant eating) has evolved repeatedly in insects, typically from meat-eating or detritus-feeding ancestors (detritus is dead organic matter). Moths and butterflies, for example, eat plants, whereas their sister group (the insect group to which they are most closely related), the caddisflies

Genetics: Analysis and Principles 6
What is an operon? a. A site in the DNA where a regulatory protein binds b. A group of genes under the control of a single promoter c. An mRNA that encodes several genes d. All of the above

Urban Economics 8
Matter Transmitter and Trading City Consider a region with two standardized products (bread and shirts) that are transported by horse-drawn wagons. There is a single trading city. Consider the effects of a new matter transmitter, an indivisible input that is economical for trading fi rms in the city,