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What is the length of AD?
In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?
A bag contains 6 balls of which 2 are red and 4 are green. If 2 balls are to be chosen at random one after the other, without replacement. what is the probability that the second ball chosen will be red?
A jar contains only red marbles and black marbles. The jar contains more than one red marble and 5 times as many black marbles as red marbles. Five marbles are to be selected from the jar without replacement.

Quantity A

Of the marbles selected, the number that will be red

Quantity B

Of the marbles selected, the number that will be black
The general statement that all objects are (i) ___________ by gravity (ii) ___________ is not (iii) ___________. In reality, if a feather and a lump of iron were dropped at the same time from the same place, we should not expect them to hit the floor at the same time. In order to reconcile the general statement with real-world phenomena, we must take into consideration all of the forces that act upon objects.
Recent advances in the study of desert varnish have been a boon to geologists, allowing them to date surface features and establish regional histories in ___________ detail.
Although the virtues of supplementing wild fish populations with fish from hatcheries are often ______________, scientific studies have indicated that fish stocking can harm the wild, native species of the water body.
Although the impression that quantum mechanics is limited to the microworld (i)____________ the public understanding of science, it is (ii)____________. Quantum effects may be harder to see in the macroworld, but experiments have now confirmed that these effects are (iii)____________ than anyone ever suspected.
Given the important role that apologies can play in human relations and the almost daily news reports of the latest celebrity or political apology, the ____________ of empirical research on the subject is surprising.
In many places there is enough land-to-sea runoff to __________ carbonate development, but where it can occur, a range of localized carbonates-including patch reefs, shoals, or pinnacle reefs-can form and grow into extensive structures.
A telescope orbiting in space, above the unruly atmosphere, is able to detect ultraviolet and infrared emissions that are blocked by Earth`s atmosphere and thus _____________ to astronomers on the ground.
Khirigsuurs, distinctive stone-mounded monuments, are so ________ in central and western Mongolia that it has been argued that they were the defining features of the human landscapes of prehistoric Inner Asia.
Ultimately, according to Zuger, all medical advice is _________ : it is educated guesswork, perhaps, but guesswork all the same.
The folktale is perhaps the most _____________ form of literature: a story that everyone is free to tell and embellish because it belongs to no one in particular.
Scientists are finding that the adult brain is for more _____________ than they once thought: our behavior and environment can cause substantial rewiring of the brain or a reorganization of its functions and where they are located.
He was never (i) _____________: he was nothing if not (ii) _____________, so he forbore for the present to declare his passion.
Which of the following can be inferred about the action mentioned in the highlighted portion of the passage?
According to the passage, which of the following is true about the independent record labels?
What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.

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