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Questions in mathematics

[Done] Find the equation of the circle that satisfies the given conditions: Radius = 2 and center = (4, -7).

[Done] How do you factor [tex]x^4 - x^3 - 7x^2 - x + 6[/tex]?

[Done] 1. What is 18 in simplified radical form? A. 9 and 2 B. 2 and 9 C. 3 and 2 D. 2 and 3 2. What is 28 in simplified radical form? A. 2 and 5 B. 2 and 7 C. 7 and 2 D. 4 and 7 3. What is 252 in simplified radical form? A. 21 and 12 B. 12 and 21 C. 7 and 6 D. 6 and 7 4. A square fishpond has an area of 68 square feet. To the nearest tenth, what is the length of one side of the fishpond? A. 8.2 ft B. 9.4 ft C. 17.0 ft D. 34.0 ft 5. A square-shaped billboard has an area of 295 square feet. Christy wants to put lights around the entire perimeter of the billboard. Approximately how much frame does she need? A. 12 feet B. 17 feet C. 69 feet D. 74 feet

[Done] What is 800 divided by 8?

[Done] 1. What is the value of the expression \(7^{-3}\)? A. \(-21\) B. \(-\frac{1}{343}\) C. \(\frac{1}{343}\) D. \(343\) 2. What is the value of the expression \(\left(\frac{1}{5}\right)^{-5}\)? A. \(\frac{1}{3125}\) B. \(\frac{1}{25}\) C. \(25\) D. \(3125\) 3. What is the value of the expression \(\left(\frac{2}{4}\right)^{-3}\)? A. \(\frac{1}{32}\) B. \(\frac{1}{6}\) C. \(128\) D. \(256\) 4. What value of \(k\) solves the equation \(k^{-2} = \frac{1}{64}\)? A. \(\frac{1}{8}\) B. \(8\) C. \(32\) D. \(128\) 5. What value of \(n\) solves the equation \(4^N = \frac{1}{64}\)? A. \(-3\) B. \(3\) C. \(16\) D. \(256\)

[Done] Solve the equation: \[ e^{2x} + 2e^{x} - 3 = 0 \]

[Done] If \( y \) is directly proportional to \( x \) and \( y = 20 \) when \( x = 6 \), what is the value of \( y \) when \( x = 9 \)? A. \(\frac{10}{3}\) B. \(\frac{40}{3}\) C. 23 D. 27 E. 30

[Done] What is 8,450 rounded to the nearest thousand?

[Done] If the base of a triangle is four times its height and the area of the triangle is 242 square millimeters, can you find its base and height?

[Done] Sector 2 in a spinner is 90°. If it is spun twice, what is the probability it will land in sector 2 both times?