Branch chain fatty acids (BCFA) represent a common fermentation product of bacterial species that use protein as a source of energy.

Which of the enzymes below is NOT required for utilization of dietary protein sources in the gut?

How does interspecies hydrogen transfer benefit the microorganisms involved?

All chemical reactions tend to go in the direction that results in a decrease in the free energy of the system

When ∆G is large and positive, the reaction tends to go in the forward direction.

Find who is unemployed and who is not in the labor force. 

Choose the correct answer to fill in the blank: Robust rhythms in ________ correspond with swarming in Klebsiella aerogenes and may influence diurnal rhythms in the rumen microbiome of dairy cattle.

Consider a discrete uniform random variable X over the set {1,2,…,k} where k=[k]. The event is defined as  = {k-3,k-2,k-1,k}. Find .

Consider a random variable with expected value [m] and variance [s]. Find

What is x after evaluating x = (2 > 3) ? 2 : 3;