Questions in Grade College

Questions in Grade College

[Done] 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]

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

[Done] Which of the following tips can potentially improve your chances of moving important information to your long-term memory? Select all that apply. A. Associate the information with something you already know B. Ask yourself questions about the material C. Listen to music with lyrics while studying D. Recite the information aloud

[Done] 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.

[Done] 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.

[Done] 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.)

[Done] $\frac{4}{x+16}-\frac{3}{x-16}=\frac{5 x}{x^2-256}$ a. Write the value or values of the variable that make a denominator zero. $x=$ $\square$ (Use a comma to separate answers as needed.) b. What is the solution of the equation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3. (Use a comma to separate answers as needed.). B. The solution set is ${x \mid x$ is a real number}. C. The solution set is $\varnothing$.

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Simplify the product $\frac{5}{n+1} \cdot \frac{n+1}{n+3}$

[Done] A square is inscribed in a circle of diameter [tex]$12 \sqrt{2}$[/tex] millimeters. What is the area of the shaded region? Recall that in a [tex]$45^{\circ}-45^{\circ}-90^{\circ}$[/tex] triangle, if the legs each measure [tex]$x$[/tex] units, then the hypotenuse measures [tex]$x \sqrt{2}$[/tex] units. A. [tex]$(72 \pi-144) mm ^2$[/tex] B. [tex]$(72 \pi-72) mm ^2$[/tex] C. [tex]$(288 \pi-288) mm ^2$[/tex] D. [tex]$(288 \pi-144) mm ^2$[/tex]