Questions in mathematics

Questions in mathematics

[Done] If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?

[Done] If \( x \) is a real number such that \( x^3 = 64 \), then \( x^2 + \sqrt{x} = \)?

[Done] Simplify the expression: \[ 11c + 3(-5c + 4d) \]

[Done] Candice bought 3 shirts. Each shirt cost the same amount and was discounted by $3.66. Candice paid a total of $62.31 before tax. How much did each shirt cost before the discount?

[Done] Factor the expression: \[ 15x^2 - 10x - 5 \]

[Done] What numerical or variable expression represents the number of days in 3 weeks?

[Done] Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?

[Done] Determine whether the sequence converges or diverges. If it converges, give the limit. [tex]48, 8, \frac{4}{3}, \frac{2}{9}, \ldots[/tex]

[Done] What is the derivative of [tex]e^{2x}[/tex]?

[Done] IMPOSSIBLE MATH QUESTION \[(1+\tan(1^\circ))(1+\tan(2^\circ))(1+\tan(3^\circ))(1+\tan(4^\circ)) \cdots (1+\tan(45^\circ))=?\] Find the value.