Questions in mathematics

Questions in mathematics

[Free] For the sequence 9, 6, 3, 0: 1. Find the common difference or ratio. 2. Determine the explicit formula. 3. Determine the recursive formula.

[Free] Solve \(2\sin^2 x + \cos x - 2 = 0\) for \(0 \leq x \leq 360^\circ\).

[Free] Solve \(3 - 2\cos^2x - 3\sin x = 0\) for \(0 \leq x \leq 360^\circ\).

[Free] Fernando is starting a new sales job and needs to decide which of two salary plans to choose from. For Plan A, he will earn $100/week plus 15% commission on all sales. For Plan B, he will earn $150/week plus 10% commission on all sales. a. Write an expression for each salary plan if \(s\) is Fernando's total weekly sales. b. For what amount of weekly sales is Plan B better than Plan A?

[Free] 50% of all cakes baked that week were party cakes, and 1/5 were fruit cakes. What percentage of cakes were sponge cakes?

[Free] The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is \(2l + 2w = 16\), where \(l\) represents the length of the rectangle and \(w\) represents the width of the rectangle. Which value is possible for the length of the rectangle?

[Free] Solve for \( f \). \[ c = \frac{5}{9} (f - 32) \] Show your work. Thank you.

[Free] What is the inverse operation of a number squared? A. finding the square root B. dancing a square dance C. finding the cubed root D. multiplying by 2

[Free] What is the multiplicative identity of the complex number \(-3 + 5i\)?

[Free] Ratio and Proportion Given: \(\frac{15}{y} = \frac{5}{8}\) Find \(y\).