(04.04 MC) Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?

(04.04 MC) A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 30 ft, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 4 ft from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis, should he build his whisper chamber?

“Do you plan to retire in the next five years?,” asks the interviewer. It is legal to ask a candidate this question during a job interview.

(04.04 MC) Which is the equation of an ellipse with directrices at y = ±2 and foci at (0, 1) and (0, −1)?

Ella is the Human Resources Director of an eyewear company that sells eyewear to optometrists, opticians, and ophthalmologists. She is assisting the Director of Sales with a national search to hire three new eyewear sales representatives. In this scenario, the HR Director represents line authority, and the Director of Sales represents staff authority.

Suppose an E. coli bacterium has a mutation in its lacI gene so that the protein it encodes is less able to bind to the DNA molecule. What effect would you expect that mutation to have on the bacterium’s rate of synthesis of beta-galactosidase relative to a normal (wild type) specimen? A. The mutation would result in an increase in the rate of beta-galactosidase synthesis relative to wild type B. The mutation would result in a decrease in the rate of beta-galactosidase synthesis relative to wild type C. The mutation would have no effect on the rate of beta-galactosidase synthesis relative to wild type D. The mutation would prevent lactose from entering the cell  

Breana is the general manager of a multi-purpose indoor arena that hosts concerts, professional ice shows, and other events. It is also home to a local hockey club. Breana ensures that departments such as communications, sales, and merchandising, work together to manage the operations of the arena. As the general manager, she focuses on the integration of these arena-wide activities. Considering the principles of organization, Breana’s actions represent flexibility.

Four students are working together on a class project. One of the group members is contributing little work but wants the same grade as everyone else who is doing the work. If you were a member of this group, what should you do?

The patient’s current blood glucose level is 324 mg/dL. A patient’s sliding scale for insulin reads as follows: Blood Glucose 150-199 mg/dL: 4 units of insulin Blood Glucose 200-249 mg/dL: 6 units of insulin Blood Glucose 250-299 mg/dL: 8 units of insulin Blood Glucose 300-349 mg/dL: 10 units of insulin  Question: How many units of insulin should the nurse administer?

(04.04 MC) Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?