Questions in mathematics

Questions in mathematics

[Free] What is the solution to $\log _4 8 x=3$?

[Free] Solve on the interval $[0,2 \pi)$. $4 \cos ^2 x-1=0$ A. $\left{\frac{\pi}{3}, \frac{2 \pi}{3}, \frac{4 \pi}{3}, \frac{5 \pi}{3}\right}$ B. $\left{\frac{\pi}{3}, \frac{2 \pi}{3}\right}$ C. $\left{\frac{\pi}{3}, \frac{5 \pi}{3}\right}$ D. There are no solutions in the given interval. E. $\left{\frac{\pi}{6}, \frac{11 \pi}{6}\right}$ F. $\left{\frac{\pi}{6}, \frac{5 \pi}{6}, \frac{7 \pi}{6}, \frac{11 \pi}{6}\right}$

[Free] What is $37 / 6$ reduced to a mixed number?

[Free] Find all numbers for which the rational expression is undefined. [tex]$\frac{v+3}{v-2}$[/tex]

[Free] Solve the following equation algebraically: [tex]5 x^2=60[/tex] a. [tex]x \approx \pm 3,46[/tex] b. [tex]x \approx 3.46[/tex] c. [tex]x=12[/tex] d. [tex]x= \pm 12[/tex]

[Free] What is the solution of $\sqrt{x+2}-15=-3$?

[Free] Which of the following is a radical equation? [tex]x+\sqrt{5}=12[/tex] [tex]x^2=16[/tex] [tex]3+x \sqrt{7}=13[/tex] [tex]7 \sqrt{x}=14[/tex]

[Free] A box contains 8 red marbles, 3 white marbles, and 9 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

[Free] Which of the following statements are true about scalar multiplication of matrices? You can multiply a matrix of any size by a scalar. For any matrix [tex]$A, 1 \times A=A$[/tex]. For any scalar [tex]$r, r l=l$[/tex], where [tex]$l$[/tex] is the identity matrix. You can scale geometric figures using scalar multiplication. Scalar multiplication is a shortcut for repeated addition of the same matrix. Scalar multiplication is not possible for matrices that are not square.

[Free] The domain of the piecewise function is $(-\infty, \infty)$. a. Graph the function. b. Use your graph to determine the function's range. [tex]f(x)=\left\{\begin{array}{lll} x+2 & \text { if } & x\ \textless \ 1 \\ x-2 & \text { if } & x \geq 1 \end{array}\right.[/tex] a. Choose the correct graph below. A. B. b. The range of [tex]f(x)[/tex] is $\square$ (Type your answer in interval notation.)