Questions in Grade High-school

Questions in Grade High-school

[Done] EXERCISE 1: Fill in the blanks. Use the correct form of the verb in Present Continuous. Example: She (read) → She is reading 1. I (eat) an apple. 2. He (watch) TV. 3. They (play) football. 4. We (write) a letter. 5. You (listen) to music. 6. My brother (sleep) now. 7. The dog (run) in the garden. 8. She (drink) water. EXERCISE 2: Make questions Put the words in the correct order to make Present Continuous questions. 1. (you / what / doing / are) → ? 2. (is / she / cooking) → ? 3. (they / playing / are / football) → ? 4. (reading / he / is / a book) → ? 5. (you / listening / are / music / to) → __ ?

[Done] Simplify this expression: $4(1-3 x)+7 x-8$

[Done] \frac{2}{2-y}+\frac{3}{y+2}=\frac{2 y}{y^2-4}

[Done] Keisha and David each found the same value for [tex]\cos \theta[/tex], as shown below, given [tex]\sin \theta=-\frac{8}{17}[/tex] | Kersha's Solution | David's Solution | |---|---| | [tex]\begin{array}{c} \frac{\left(-\frac{8}{17}\right)^2}{\cos ^2 \theta}+1=\frac{1}{\cos ^2 \theta} \ \left(-\frac{8}{17}\right)^2+\cos ^2 \theta=1 \ \cos \theta= \pm \sqrt{1-\frac{64}{289}}\end{array}[/tex] | [tex]\begin{array}{l} \sin ^2 \theta+\cos ^2 \theta=1 \ \cos ^2 \theta=1-\left(-\frac{8}{17}\right)^2 \ \cos \theta= \pm \sqrt{\frac{225}{281}} \ \cos \theta= \pm \frac{15}{17}\end{array}[/tex] |

[Done] Solve the nonlinear inequality. Express the solution using interval notation. [tex]x^2\ \textgreater \ 2(x+4)[/tex]

[Done] The domain of $f(x)$ is the set of all real values except 7, and the domain of $g(x)$ is the set of all real values except -3. Which of the following describes the domain of $(g \circ f)(x)$? A. all real values except $x \neq -3$ and the $x$ for which $f(x) \neq 7$ B. all real values except $x \neq -3$ and the $x$ for which $f(x) \neq -3$ C. all real values except $x \neq 7$ and the $x$ for which $f(x) \neq 7$ D. all real values except $x \neq 7$ and the $x$ for which $f(x) \neq -3

[Done] The discriminant of the equation [tex]$3 x^2+6 x=-3$[/tex] indicates A. one repeated root B. two distinct, irrational real roots C. two distinct, rational roots D. no real roots

[Done] A leading magazine (like Barron's) reported at one time that the mean number of weeks an individual is unemployed is 15.3 weeks. Assume that the population of all unemployed individuals is normally distributed with the population mean length of unemployment is 15.3 weeks and that the population standard deviation is 9.4 weeks. Suppose you would like to select a random sample of 171 unemployed individuals for a follow-up study. Enter your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 15.7 and 16.5. Answer = $\square$ Find the probability that a sample of size [tex]$n=171$[/tex] is randomly selected with a mean between 15.7 and 16.5. Answer = $\square$

[Done] What is the greatest common factor of [tex]$4 k, 18 k^4$[/tex], and [tex]$12$[/tex]?

[Done] What is the simplified form of the following expression? Assume [tex]x\ \textgreater \ 0[/tex]. [tex]\sqrt[4]{\frac{3}{2 x}}[/tex] A. [tex]\frac{\sqrt[4]{6 x}}{2 x}[/tex] B. [tex]\frac{\sqrt[4]{24 x^3}}{2 x}[/tex] C. [tex]\frac{\sqrt[4]{24 x^3}}{16 x^4}[/tex] D. [tex]\sqrt[4]{12 x^2}[/tex]