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N.B: SAT Subject Test Math Level 2 Question
Question
What is the sum of the roots of the equation?
\[(x  \sqrt{2})(x^2  \sqrt{3x} + \pi) = 0\]
(A) 0.315
(B) 0.318 (C) 1.414 (D) 3.15 (E) 4.56 Question:
N.B: This question is for SAT Subject Test Math Level 2
\[if \ log_a 5 = x \ and \ log_a 7 = y, \ then \ log_a \sqrt{1.4} = \]
(A) (xy)/2
(B) x/2  y (C) (x + y)/2 (D) (y  x)/2 (E) y/(2x) Answer:
The answer is D.
\[log_a\sqrt{1.4} = log_a\sqrt{\frac{7}{5}} = \frac{1}{2} (log_a 7  log_a 5) = \frac{1}{2} (y  x) \]
SAT Subject Math Test Level 2
When a certain radioactive element decays, the amount at any time t can be calculated using the function
\[E(t) = ae^{t/500}\]
where a is the original amount and t is the elapsed time in years. How many years would it take for an initial amount of 250 milligrams of this element to decay to 100 milligrams?
(A) 125 years (B) 200 years (C) 458 years (D) 496 years (E) 552 years Question:If 2x < 100 and x is an integer, how many of the 2x + 2 integers will be divisible by 3 and by 2?
(a) 1 (b) 2 (c) 3 (d) 4 (d) 5
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The first term in a geometric sequence is 64, and the common ratio is 1/4. For what value of n is
\[t_n = \frac{1}{4}\]
Answer: A geometric series is represented as
\[t_1, t_1r, t_1r^2, t_1r^3, ......, t_1r^{n1} = t_n\]
\[\frac{1}{4} = 64(\frac{1}{4})^{n1}\]
\[4^{n2} = 4^3\]
n = 5
Final Answer: n = 5

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