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A recent study shows that farmers have a 40 percent lower risk of developing various common forms of cancer than people in the general population do. Farmers are more active than most people are, but even taking this into account, farmers had a significantly lower cancer risk. Therefore, it is likely that some substances that farmers are typically exposed to in the course of their work lower the risk of developing these forms of cancer.
She was a star adored by directors for her ________ : there was no volatile temperament; there were no tantrums.
The poem is not nearly as (i)________ as it has often been said to be. Granted, it would be (ii)________ to claim that the poem is self-contained or that its proliferating allusions are self-explanatory. But the poem is more self-contained than it appears when you read only fragments of it, and its allusions are often (iii)________ by their contexts or by their repeated appearances in changing contexts.
Although celluloid film does record traces of real light reflected by real objects, this does not (i) _________ its representational truth: the image is still prone to technical manipulation. Conversely, digital video's lack of a physical, photochemical trace does not (ii) _________ : digital video can just as well (iii) _________ the presence of real objects at a given moment in time.


The figure shows the width, length, and height of a rectangular solid. Which of the following statements must be true?
Indicate all such statements.
A car traveled at an average speed of $$45$$ miles per hour for $$1$$ hour, at an average speed of $$60$$ miles per hour for the next $$\frac{1}{2}$$ hour, and then at an average speed of $$50$$ miles per hour for another $$\frac{1}{2}$$ hour. What was the car's average speed, in miles per hour, for the $$2$$ hours?
If $$a=\frac{b}{6}$$ and $$a =2-c$$, then in terms of $$a$$, what is the value of $$b+c$$ ?


In the rectangular coordinate system above, if $$(6, 5)$$ is the midpoint of $$OP$$, what is the area of triangular region $$OPQ$$?
The positive number $$y$$ has the property that $$y$$ percent of $$y$$ is $$169$$. What is the value of $$y$$?
$$m$$ and $$n$$ are integers.
$$(135)(75)=(3^m)(5^n)$$

Quantity A

$$m$$

Quantity B

$$n$$


$$A$$ and $$W$$ are two vertices of a regular polygon with $$n$$ sides, where $$n \gt 10$$.

Quantity A

The number of triangles with vertices $$A$$, $$W$$, and one other vertex of the polygon

Quantity B

$$n-1$$


Which of the following implies that $$x$$ must be less than $$2$$ ?
Bucket $$Q$$ currently contains $$5$$ times as much water as bucket $$R$$ contains. If $$10$$ liters of water will be transferred from $$Q$$ to $$R$$, then $$Q$$ will contain $$2$$ times as much water as $$R$$ will contain. How many liters of water does $$Q$$ currently contain?
List $$C$$: $$\frac{1}{2}, \frac{1}{4}, \frac{1}{8}$$
List $$D$$: $$(\frac{1}{2})^2, (\frac{1}{4})^2, (\frac{1}{8})^2$$
The range of the numbers in list $$C$$ is $$r$$, and the range of the numbers in list $$D$$ is $$t$$. If $$r = kt$$, what is the value of $$k$$?
if $$\frac{x+2}{x-3} = \frac{x+1}{x}$$, where $$x \neq 0$$ and $$x \neq 3$$, what is the value of $$x$$?
Give your answer as a fraction


The perimeter of equilateral pentagon $$ABCDE$$ is twice the perimeter of equilateral triangle $$RST$$.

Quantity A

The length of one side of pentagon $$ABCDE$$

Quantity B

The length of one side of triangle $$RST$$


A speed of $$m$$ miles per hour $$(m \gt 0)$$ is equivalent to a speed of $$f$$ feet per second. ($$1$$ mile = $$5,280$$ feet)

Quantity A

$$m$$

Quantity B

$$\frac{3f}{4}$$




If the tank tips over so that it rests on one of the $$25$$-inch by $$40$$-inch faces, what will be the depth of the water in the tank?
The number of cases in which of the following case categories was closest to $$\frac{1}{8}$$ of the total number of cases for 1994?
In which of the following two categories was the combined total number of cases handled closest to $$20,000$$?

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