Given that the modified algorithm runs in \Theta(nk + n\lg(n / k))Θ(nk+nlg(n/k)) worst-case time, what is the largest value of kk as a function of nn for which the modified algorithm has the same running time as standard merge sort, in terms of \ThetaΘ-notation?

The spring the owner of a sporting good store decreases the price of winter gloves from $10 to $8 each increases the price of swimming goggles from $8 to $10 without doing the math you think the percent decrease in the price of the gloves the same as the percent increase of the goggles explain why or why not

Determine whether the quadrilateral below is a parallelogram. justify/explain your answer (this means back it up! give specific information that supports your decision. writing just "yes" or "no" will result in no credit.)

Julie was able to walk 16 km through the zoo in 6 hours. how long will it take her to walk 24 km through the zoo?