Manhattan
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If$$ [[x]] = x^{2} + 2x + 4$$, what is the value of [[3]]?
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Manhattan
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If 3x + 2z = 34, what is the value of z?(1) $$x^{3} = 64$$(2) 5x = z + 9
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Manhattan
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During the summer of 1778, seeking to find alternative explanations for the process of evolution, Jean-Baptiste Lamarck repeated his initial experiment on mollusks once in every 4 weeks but received exactly the same results 3 times in a row.
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Manhattan
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If x + y = 7 and x – y = 3, then $$x^{2} - y^{2} =$$
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Manhattan
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In the current year's graduating class at a local university, students graduated either with or without honors. How many students graduated with honors?(1) 20% of the students graduated with honors.(2) 84 students graduated without honors.
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Manhattan
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The soap manufacturer conceded that its product may have contributed to the recent outbreak of skin irritation experienced by its consumers and having pulled the product, led to a sharp drop in the company’s share price.
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Manhattan
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$${1}\over{{3}+\frac{4}{7}}$$=
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Manhattan
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A man runs around a circular track two times. The track has a diameter of 12 meters. How many meters does he run?
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Manhattan
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If $$4^{x} + 4^{-x} = 2$$, which of the following is the value of x?
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Manhattan
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In the right triangle pictured to the right, what is the value of x?
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Manhattan
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A certain square has sides of length x. If the length of each side is doubled, then which of the following represents the area of the resulting square, in terms of x?
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Manhattan
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Which of the following has a value greater than 1?
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Manhattan
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What is the units digit of $$(10 ^{4})(4^{ 5})(3^{ 3})?$$
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Manhattan
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The longevity of a certain metal construction is determined by the following formula: $$l = {(7.5 – x)}^{4} + 8.97^{c}$$, where l is the longevity of the construction, in years, x is the density of the underlying material, in $$\frac{g}{cm^{3}}$$, and c is a positive constant equal to 1.05 for this type of metal constructions. For what value of density, x, expressed in $$\frac{g}{cm^{3}}$$, will the metal construction have minimal longevity?
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Manhattan
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If $$2^{2x – 1} = 8^{y}$$ then x in terms of y equals:
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Manhattan
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What is the average of $$\frac{1}{8},\frac{3}{8},\frac{1}{2}$$ ?
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Manhattan
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Lindsay can paint $$\frac{1}{x}$$ of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in one hour, what fraction of the room can Joseph paint in 20 minutes?
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Manhattan
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If x + y = 3, and $$x^{2} – y^{2} = 12$$, what is the value of x – y?
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Manhattan
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In the rectangular coordinate plane points X and Z lie on the same line through the origin and points W and Y lie on the same line through the origin. If$$ a^{2} + b^{2} = c^{2} + d^{2} and e^{2} + f^{2} = g^{2} + h^{2}$$, what is the value of length XZ – length WY?
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Manhattan
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Which of the following is greater than $$\frac{3}{4} $$?
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