Brush your hair with a plastic comb. Bring the comb close to a small piece of paper. Move a fridge magnet near the comb and then the paper. Do these objects exert forces on one another? Observation and explain scientific principles please.

Find an example of a publicly-traded company that lists two risk factors in their 10-K that you think will become greater liabilities for them in the near future. If you were the CEO, how would you mitigate those risks?

Binomial distributions are approximately normal when the number of trials is large, and the probaility of success is not near zero or one. A player flips an unbiased coin 1,296 times.

a. What is the probability of the coin landing on heads between 612 and 684 times?

1.Tyrosine has an absorption peak near 280 nm with a molar extinction of 1,450. What would be the absorbance of tyrosine solution that is 1.5x10^-3 M in a 1 cm cell? in a 2 mm cell? in a 0.1 mm cell?

2. Using the molar extinction coefficient from problem 1, determine the E1%280 for tyrosine. The E1%280 is also an extinction coefficient but of a 1% solution measured at the peak near 280 nm. A 1% solution contains 1 gram of tyrosine in 100 mL of total solution. You will have to look up or figure out the molecular weight of tyrosine to solve this problem.

3.What will be the absorbance in a 1 cm cell of tyrosine solution that is 1 mg/mL in concentration? a 1 g/L solution? If these are the same why are they the same? If they are not, why not?

Wrap up question 1: You hold a “Top” piece of charged tape near an uncharged soda can. Describe the behavior of the tape. Would the behavior be different if you used a “Bottom” piece of tape instead? Explain.

Wrap up question 2: Suppose there exists a third type of charge in addition to the two types we associate with glass and plastic. Call this third type X charge. What experiment(s) could you use to test whether an object has X charge? State clearly how the outcome(s) of the experiment(s) would be interpreted.

Wrap up question 3: A positively charged electroscope has separated leaves. Describe what will happen if you bring a negatively charged rod near, but not touching, the top of the electroscope.

The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.

​a) For the location of the proposed new central​ hub, the coordinates should be​ near:

x​ = ____ ​(round your response to two decimal​ places).

y​ = _____ ​(round your response to two decimal​ places).

​b) If the shipments from city A double​, for the location of the proposed new central​ hub, the coordinates should be​ near:

x​ = ___ ​(round your response to two decimal​ places).

y​ = ___ ​(round your response to two decimal​ places).

On January 1, 2020 , WXY Inc. replaced the roof on its warehouse. WXY originally built the warehouse and placed it into service on January 1, 1995. The cost of the building was $1,000,000. The building has been depreciated using the straight-line method over an originally estimated 40-year useful life with an estimated salvage value of $50,000. Based on original construction records, WXY is able to calculate that the old roof's cost and accumulated depreciation are 8% of the amounts for the entire building.

The new roof cost $200,000. WXY estimates that the new roof will extend the useful life of the building by 10 years. When the old roof was removed, the old scrap was simply thrown away.

Which of the following statements it true?

On January 1, 2020 , WXY Inc. replaced the roof on its warehouse. WXY originally built the warehouse and placed it into service on January 1, 1995. The cost of the building was $1,000,000. The building has been depreciated using the straight-line method over an originally estimated 40-year useful life with an estimated salvage value of $50,000. Based on original construction records, WXY is able to calculate that the old roof's cost and accumulated depreciation are 8% of the amounts for the entire building.

The new roof cost $200,000. WXY estimates that the new roof will extend the useful life of the building by 10 years. When the old roof was removed, the old scrap was simply thrown away.

Which of the following statements it true?

A community playhouse needs to determine the​ lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a​ week, each at ​$12 an hour.​ Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at ​$14 per hour. The set needs 20 flats​ (walls), two hanging​ drops, and three wooden tables​ (props). The number of hours required for each piece for carpentry and painting is shown below.​ Flats, hanging​ drops, and props can also be rented at a cost of ​$75​, ​$500​, and ​$400 ​each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total​ cost?

The optimal integer solution is to build __ flat(s) and rent __ ​flat(s); build __hanging​ drop(s) and rent __hanging​ drop(s); build __prop(s) and rent__ prop(s). This solution gives the ▼(minimum, maximum) ​cost, which is ​$__.