• Water is boiled in a cup and put to cool down inside a room. The air temperature in the room is increasing linearly according to the function T_a(t) = 22 + 0.015t (t in minutes, T in Celsius). Assume Newton’s Law of Cooling is satisfied: the rate of change of water temperature is proportional to the difference between the temperature of the water and the temperature of the environment. The temperature of the water was checked after 8 minutes and it was 82 Celsius. Explain and graph T_a. Establish and solve an Initial Value Problem to express the water temperature as a time function, graph this function.

Suppose you shuffle a deck of cards and set it down on the table. (a) What is the probability that the top ten cards contain no aces? (There are four aces in the whole deck). (b) What is the probability that the top four cards are all the same suit? (There are four suits, and thirteen cards belonging to each suit). (c) What is the probability that the top four cards contain (exactly one) pair of the same card? (There are thirteen different cards and each occurs four times).

What is the rationale for a firm under perfect competition to shut down and to exit? Please provide an example.

Which of the following disorder is not due to an aneuploidy condition?

Select one:

a. Down syndrome

b. Klinefelter syndrome

c. Cri du chat syndrome

d. Edwards syndrome

A ball rolls down a hill from rest and collides with a block on wheels at the bottom. The block has a mass which is 4 times larger than the mass of the ball. Calculate the direction and velocity of the block and ball after the collision, if they were (a) elastic, or (b) perfectly inelastic. Please show the answers in terms of g and h.

(c) how much of the kinetic energy is lost in the elastic collision of part A?

A 6.00kg ball is thrown down from a height of 4.00m with an initial speed of 6.00m / s. If the ball falls on a spring with constant k = 1500N / m, determine how much the spring compresses before the ball stops What is the work done to compress the spring?

Sales of Valentine's Day roses are expected to be down this year, but prices will still go up because the plants are producing fewer blooms.Vendors at Sirikorn flower market in Muang district said there is less interest in ordering fresh roses for Feb 14 this year.Young people seemed more interested in sending digital flowers to their loved ones.The owner of Doi Florist shop said supplies of roses were down because weather conditions had affected the harvest. The plants were bearing fewer flowers.This caused the price of a bouquet of roses to sharply increase.
A bouquet of small roses which previously sold for 200-300 baht would cost 300-400 baht this year, she said.Kapkaew Donnate, owner of Tuta Florist shop, said young people were traditionally the main customers for Valentine’s Day, but now they tended to send digital flowers and buy other gifts instead of fresh roses.She also confirmed that prices of roses had doubled because of the low supply, and blamed the unfavourable weather.
“Vendors here buy flowers from several gardens in Chiang Rai and Chiang Mai provinces. Our shop orders flowers from gardens in Thoeng district in Chiang Rai."Bouquets of roses, each with 25 blooms, are currently priced at 200 baht each. The retail price of single rose is 20 baht, but only grade B and C roses are available at the market.
"For Valentine’s Day, grade A roses are expected to be available at the market, but the price will be 40 baht a rose,’’ Ms Kapkaew said.
Use the supply and demand model, including diagrams, to explain the impact on the prices and quantities in the market of roses in Muang district of:Valentine’s Day,the weather, and young people ‘going digital

How does temperature influence Lactaid’s ability to break down

Lactose?

The demand for a commodity generally goes down as the price goes up. Assume that the demand for a certain commodity (maybe gasoline) goes up as the price goes up. Is it still possible for there to be an equilibrium price? What would the demand & supply graph look like?

Write down all body wires that will be placed on patient in a Polysomnography (PSG).