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The circles with centers P and O have radii 6 and 2, respectively, and are tangent to each other. Line $$l$$ is tangent to the circles at points A and B, as shown. What is the length of line segment AB ?

Quantity A

$$(0.001)^{2,000}$$

Quantity B

$$(10)^{-4,000}$$
How many six-digit positive integers have three digits that are 1s, one digit that is 2, one digit that is 3, and one digit that is 4?
The function g is defined by g(x) =x+1 for all numbers x.

Quantity A

$$g(-1)$$

Quantity B

1
How many five-digit positive integers have four of the digits the same and the other digit different?
The fraction $$\frac{22}{7}$$ is equivalent to the repeating decimal $$3.\overline{142857}$$, and the first 10 digits of the number π are 3.141592653. By how much does $$\frac{22}{7}(10^7)$$ exceed $$π(10^7)$$?

Give your answer to the nearest integer.
For each value x in a list of values with mean m, the absolute deviation of * from the mean is defined as |x-m|.

The absolute deviations from the mean of the five numbers in list L are 0, 1, 2, 3, and 6. If k is an integer greater than 1, the numbers in which of the following lists have the same absolute deviations from the mean as the numbers in L ?

Indicate all such lists.
In a list of consecutive integers the least integer is -15 and the greatest is 87. How many integers are in the list?


According to the data in the graph, approximately what is the average (arithmetic mean) annual decrease from 1980 to 1995 in the list price of a Brand X microcomputer?

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