What is the middle term in the expansion of \(\left(\frac{x}{2} - 2y \right)^6 \)?
Answer
\(20 x^3 y^3\)
\(-\frac{15}{4} x^4 y^2\)
\(-20 x^3 y^3\)
\(\frac{15}{4} x^4 y^2\)
Question 3
Question
Which summation represents 5 + 7 + 9 + 11 … + 43?
Answer
\(\sum \limits_{n=5}^{43} n\)
\(\sum \limits_{n=1}^{20} 2n + 3\)
\(\sum \limits_{n=4}^{24} 2n -3 \)
\(\sum \limits_{n=1}^{23} 3n - 4\)
Question 4
Question
In \(\triangle DEF\), \(d = 5\), \(e = 8\), and \(m\angle D = 32\). How many distinct triangles can be drawn given these measurements?
Answer
1
2
3
0
Question 5
Question
Which equation represents a graph that has a period of \(4\pi\)?
Answer
\( y = 3 \sin \frac{1}{2}x\)
\( y = 3 \sin 2x \)
\( y = 3 \sin \frac{1}{4}x\)
\( y = 3 \sin 4x\)
Question 6
Question
Which graph represents the solution set of \(\frac{x+16}{x-2} \le 7\)
Answer
\(x - 11 \)
\( 11 - x \)
\(\frac{1}{x-11}\)
\(\frac{1}{11-x}\)
Question 7
Question
Given angle A in Quadrant I with \(\sin A = \frac{12}{13}\) and angle B in Quadrant II with \(\cos B = - \frac{3}{5}\) , what is the value of \(\cos (A - B)\)?
Answer
\(\frac{33}{65}\)
\(-\frac{33}{65}\)
\(\frac{63}{65}\)
\(-\frac{63}{65}\)
Question 8
Question
In parallelogram \(BFLO\), \(OL = 3.8\), \(LF = 7.4\), and \(m\angle O = 126\). If diagonal \(\overline{BL}\) is drawn, what is the area of \(\triangle BLF\)?