In a scene from a television show, a van rolls down an incline and off a vertical cliff, falling into a valley below. The van starts from rest and rolls down the incline, which makes an angle of 19.0° below the horizontal, with a constant acceleration of 3.06 m/s2. After rolling down the incline a distance of 55.0 m, it reaches the edge of the cliff, which is 40.0 m above ground level.

(a) How much time (in s) does it take the van to fall from the edge of the cliff to the landing point?

_______s

b) At the point where the van crashes into the ground, how far is it horizontally from the edge of the cliff (in m)?

____________m

3. Briefly discuss the performance of the following industries along the economic cycle: (a) Housing construction (b) Metal

4. Briefly describe the behavior of the following economic variables along the economic cycle: (a) New jobless claims (b) Consumer sentiment

5. Are the following economic variables rising or falling around the economic cycle turning points? (a) Inventory level (b) Short-term interest rate

6. Rank the performance of machine producers, beverage producers, and restaurants in each of the following situations:

(a) Production growth is accelerating and capacity utilization has risen to high level during early stage of economic expansion.

(b) The economy has just started a recession.

Assume an observer sent a beam of photons close to an event horizon, say at some distance x (a distance far enough to avoid the photons falling in.) This light would still be observable, albeit red shifted and with it's path curved appropriately. Now assume the black hole absorbs enough mass to expand it's event horizon beyond the distance x. This stream of photons would stop. Does the observer not have information about a process that occurred exactly at the event horizon, that is it's expansion? Isn't this a region that one should not be able to get any information about due to the fact that nothing could contact the event horizon and return to the observer?

What would be the net annual cost of the following checking accounts? (a) Monthly fee, $4.20; processing fee, $0.20 cents per check; checks written, an average of 20 a month. (Do not round intermediate calculations. Input the answer as a positive value. Round your answer to 2 decimal places.) (b) Interest earnings of 5 percent with a $500 minimum balance; average monthly balance, $800; monthly service charge of $16 for falling below the minimum balance, which occurs three times a year (no interest earned in these months). (Do not round intermediate calculations. Input the answer as a positive value. Round your answer to 2 decimal places.)

A magazine subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of airline ticket purchased most often was for domestic or international travel. Sample data obtained are shown in the following table.

A) Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight?

-State the null and alternative hypotheses.

-Find the value of the test statistic

-Find the p-value.

b) Discuss any dependence that exists between the type of ticket and type of flight.

Let X = the distance (in meters) that a small animal moves from its birthplace to the first territorial vacancy it encounters. Suppose that for a specific species X has a uniform distribution with a mean of 75 meters and a standard deviation of 10 meters.

a) What is the probability that the distance is at most 100 m? At most 200m?  

b) What is the probability that the distance is between 100m and 200m?  

c) What is the probability that the distance exceeds the mean distance?  

d) What is the distance exceeded by 15% of the individuals?  

e) If the animal has been walking for 100 m, what is the probability that it will have to walk for another 50m?

f) If you observe 15 animals, what is the probability that less than 5 will have to walk more than 100m?

During endochondral ossification, the very first step in turning a hyaline model into bone is

Action potentials on the surface of the sarcolemma originate at the

The most immediate, most effective source of ATP for a muscle fiber that needs to perform at maximum output for a short period of time (less than 10 seconds) is

During contraction of the sarcomere, the role of Ca⁺² is to

• What are characteristics of a human becoming nurse? What are strengths and weaknesses to this theory of nursing?

• Case Study- The hospice nurse sat with Ann's husband, Ben. Ann was resting quietly as the increased dosage of IV pain medication gradually reached its therapeutic level. Ben turned his head and slowly turned, looking out the room's only window. As he glanced up, a small flicker of light caught his breath. It was a shooting star. A tear fell from the corner of his eye and he turned to Ann. The nurse sensed that something significant to Ann and Ben was unfolding. Shuffling to Ann's bedside, he took her small fragile hand in his. These hands had rocked cradles, burped babies, and groomed the horses she loved to ride. Gently holding her hand, he turned to the nurse. "She would ride like the wind was chasing her." Looking back to Ann his voice broke; choking back tears "Ann, Ann I saw Jessie…Jessie is calling." Ben turned "Jessie was our daughter. She died having a baby that was too big. When she died it was a pitch-black night. Cold, so cold, the baby died too, a little boy, named him Abe, Jr. after Jessie's husband. I took Ann outside so she could cry to God above and there in this dark sky we saw two falling stars…together…just falling. We knew it had to be Jessie and Abe…two angels to light up the night." Ben turned back as a deep sigh escaped from Ann's lips. A soft smile remained as she joined Jessie and Abe.