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Many macroscopic or higher-level properties on the basis of which we sort chemicals into types are not _____ the chemical structure itself but instead only manifest themselves under certain conditions or in particular contexts.
A certain brand of dishwashing liquid was sold in two different bottle sizes. The small bottle was sold with $$\frac{2}{5}$$ as many ounces of liquid as the large bottle and was sold at a price that was $$\frac{1}{2}$$ the price of the large bottle.

Quantity A

The price per ounce of the liquid in the small bottle

Quantity B

The price per ounce of the liquid in the large bottle






In a survey, 130 people were asked how many movies they had seen in the preceding year. Their responses varied from 0 to 30 movies. The graphs above show two different summaries of the same survey results. How many people responded that they had seen 11 or 12 movies?
What is the remainder when $$3^{283}$$ is divided by 5?
At a certain dealership, $$\frac{2}{5}$$ of the trucks have four-wheel drive, and $$\frac{1}{3}$$ of the vehicles that have four-wheel drive are trucks. Of the vehicles that are trucks or have four-wheel drive, what fraction are trucks that have four-wheel drive?

Give your answer as a fraction.
A stone was dropped into a still pond and produced concentric circular ripples on the surface of the water. The radius of the outermost ripple increased at a constant rate of x feet per second. If the area of the circular region enclosed by the outermost ripple was 400π square feet 10 seconds after the stone hit the water, what is the value of x?
If a and b are integers satisfying the equation $$a^{2}$$+$$b^{2}$$=145, which of the following could be the value of a+b?

Indicate all such values.
A set of $$k$$ consecutive integers, including $$2$$. The sum of the integers in the set is $$-11$$.

Quantity A

$$k$$

Quantity B

$$10$$


The degree measure of each angle of a regular polygon with n sides is between 100 and 130. Which of the following could be the value of n?

Indicate all such integers.

The hexagon is both equilateral and equiangular.

Quantity A

P

Quantity B

Q




The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
The stock price of a certain stock is $6,000 on May $$5^{th}$$. Compared with May $$4^{th}$$, the stock price drops by 8%. The stock price is the same on May$$6^{th}$$ and May $$4^{th}$$. If so, by what percent does the stock price increase from May $$5^{th}$$ to May $$6^{th}$$?

Give your answer to the nearest tenth.
Each of the numbers m, n, and p is greater than 0 and less than 1..

Quantity A

m(n+p)

Quantity B

mn+p


Passwords for a certain computer consist of 5 symbols typed on a computer keyboard. Each password consists of one @ symbol, two # symbols, and two $ symbols, typed in any order. For example, @#$$# and $#$#@ are two different passwords for the computer. What is the total number of different passwords for the computer?
Vladimir invested $10,000 for one year.He invested some of the amount at 4 percent simple annual interest and the rest of the amount at 6 percent simple annual interest.

If the total interest earned for the year was between $450 and $550, which of the following statements must be true?.

Indicate all such statements.

According to the graph shown,for which of the years 2002-2006 was the percent increase from the preceding year in the annual gross income greater than 6 percent?
Indicate all such years.
In a list of 15 numbers, 8 numbers are greater than 50.4, and 8 numbers are less than 54.6.

Quantity A

The median of the list of numbers

Quantity B

52.5


During each run of a computer simulation, either the letter X or the letter Y is displayed. For each run of the simulation, if the letter X is displayed, then the probability that X will be displayed in the next run is 0.3. Also for each run of the simulation, if the letter Y is displayed, then the probability that Y will be displayed in the next run is 0.4.

In 7 consecutive runs of the simulation, if X is displayed in the 5th run, what is the probability that X will be displayed in the 7th run?
On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.

_____%
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?

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