What is a series of techniques in which DNA fragments from an organism are linked to self-replicating vectors to create recombinant DNA molecules replicated in a host cell? Southern blot Polymerase chain reaction DNA microarrays recombinant DNA technology Yeast artificial chromosome

When an object is thrown upward, its height ( S ), in meters, is given (approximately) by the quadratic equation \( \mathrm{S}=-5 \mathrm{t}^{2}+\mathrm{vt}+\mathrm{h} \), where \( v \) is the upward initial velocity in meters/second, t is the time of flight in seconds, and h is the height above level ground from which the object is thrown. Johnny is standing on a platform 16 meters high and throws a ball straight up as high as he can at a velocity of 16 meters/second. At what time \( t \) will the ball hit the ground? How far from the ground is the ball after 3 seconds have elapsed from the time of the throw? (Assume that the ball is 16 meters from the ground when it leaves Johnny's hand.)

The graph of the function has one relative maximum and one relative minimum point. Plot these two points and check the concavity there. Using only this information, sketch the graph. \( f(x)=x^{3}-3 x^{2}-9 x \) The relative minimum point on the graph is \( (3,-27) \). (Type an ordered pair.) Since the value of \( f^{\prime \prime} \) at this relative minimum point is \( \square \), at this point, the graph is concave down. changing concavity.

Find the critical value \( z_{\alpha / 2} \) that corresponds to the given confidence level. \( 85 \% \) \( z_{\alpha / 2}=\square \) Round to two decimal places as needed.)

Theresa står på en stege och målar. Först går hon upp fem stegpinnar och sedan går hon ner sju stegpinnar. Nu står hon på tredje stegpinn zerifrån. På vilken stegpinne stod hon från början?

At a bookstore, each book costs $20. Write an inequality to show the situation where a customer spends more than $60 on books.