Questions in mathematics

Questions in mathematics

[Done] The length of an arc of a circle is equal to \(\frac{1}{5}\) of the circumference of the circle. If the length of the arc is [tex]2\pi[/tex], what is the radius of the circle?

[Done] Prove the identity: \[ \tan 3x - \tan 2x - \tan x = \tan 3x \tan 2x \tan x \]

[Done] Convert to vertex form: \[ y = 2x^2 + 14x - 4 \]

[Done] Reduce [tex]15 \frac{1}{4} + 1 \frac{1}{2} + \frac{3}{20}[/tex] to the lowest terms.

[Done] Of the model cars manufactured in September, \(\frac{1}{5}\) were models of NASCAR cars and \(\frac{1}{3}\) were World War 2 vintage models. How many cars manufactured in September were neither NASCAR model cars nor World War 2 vintage model cars?

[Done] If [tex]f(x) = 3x + 7[/tex] and [tex]g(x) = 2x - 5[/tex], find [tex]g(f(-3))[/tex]. A. -26 B. -9 C. -1 D. 10

[Done] Which fraction shows [tex]\frac{32}{48}[/tex] in simplest form?

[Done] Which number will make the fractions equivalent to \(\frac{25}{35}\)?

[Done] A 40-pound box of apples costs $24. What is the cost of 6 pounds of apples?

[Done] Indicate whether the following equation is true or false as a quadratic equation: \[ 2x - 4x + 1 = 0 \]