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Questions in Grade College

[Answered] Find $x$ in each of the following. a. $(x-2)\binom{1}{4}=(10)$ b. $\left(\begin{array}{ll}2 & x\end{array}\right)\binom{-3}{2}=(4)$ c. $\left(\begin{array}{ll}x & 1\end{array}\right)\binom{4}{x}=(-30)$ d. $(x-3)\binom{x}{-1}=(12)$ e. $\left(\begin{array}{ll}2 & x\end{array}\right)\binom{x}{1}=(9)$

[Answered] Which statements accurately describe the function $f(x)=3(\sqrt{18})^x$ ? Select three options. A. The domain is all real numbers. B. The range is $y>3$. C. The initial value is 3. D. The initial value is 9. E. The simplified base is $3 \sqrt{2}$.

[Answered] Which organized flow is characterized by the layers in the center traveling faster compared to the layers close to the vessel wall? A. Parabolic B. Pulsatile C. Turbulent D. Plug

[Answered] The system of equations is solved using the linear combination method. [tex]\begin{array}{l} \frac{1}{2} x+4 y=8 \rightarrow-2\left(\frac{1}{2} x+4 y=8\right) \rightarrow-x-8 y=-16 \\ 3 x+24 y=12 \rightarrow \frac{1}{3}(3 x+24 y=12) \rightarrow \frac{x+8 y=4}{0=-12} \end{array}[/tex] What does [tex]$0=-12$[/tex] mean regarding the solution to the system? A. There are no solutions to the system because the equations represent parallel lines. B. There are no solutions to the system because the equations represent the same line. C. There are infinitely many solutions to the system because the equations represent parallel lines. D. There are infinitely many solutions to the system because the equations represent the same line.

[Answered] Solve the system of equations: [tex] \begin{array}{l} y=x^2+4 x-50 \\ y=4 x+50 \end{array} [/tex] Write the coordinates in exact form. Simplify all fractions and radicals. ( , ) ( , )

[Answered] Translate the following statements into chemical equations and then balance them: a. Hydrogen combines with nitrogen to form ammonia. b. Hydrogen sulphide burns in air to give water and sulphur dioxide. c. Zinc reacts with dilute sulphuric acid to give zinc sulphate and hydrogen. d. Potassium metal reacts with water to give potassium hydroxide and hydrogen.

[Answered] [tex]\frac{4}{6} \times \frac{1}{2}=[/tex]

[Answered] Suppose an object is thrown upward with an initial velocity of 63 feet per second from a height of 105 feet. The height of the object [tex]$t$[/tex] seconds after it is thrown is given by [tex]$h(t)=-16 t^2+63 t+105$[/tex]. Find the average rate of change of the position of the object for the time period [tex]$t=0$[/tex] to [tex]$t=3$[/tex]. The average rate of change of the object is $\square$ $\square$.

[Answered] Which of the following is the largest organization for counselors across the world? A. NCTE B. NVGA C. ACA D. NAGCT

[Answered] To promote STEM-related learning, which of the following is important to encourage during painting activities? A. Following instructions B. Experimentation C. Observation D. Color coordination E. All of the above F. B and C only