85
Find the value of x for which \(32_{four} = 22_x\)
- A. three
- B. five
- C. six
- D. seven
86
Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.
- A. \(yx^2 = 300\)
- B. \(yx^2 = 900\)
- C. y = \(\frac{100x}{9}\)
- D. \(y = 900x^2\)
87
Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)
- A. 121
- B. 144
- C. 169
- D. 196
88
Simplify: \(\sqrt{108} + \sqrt{125} – \sqrt{75}\)
- A. \(\sqrt{3} + 5\sqrt{5}\)
- B. \(6 \sqrt{3} - 5 \sqrt{5}\)
- C. \(6 \sqrt{3} + \sqrt{2}\)
- D. \(6\sqrt{3} - \sqrt{2}\)