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Questions in Grade College

[Jawaban] Work out $10 \times 5 \frac{1}{3}$. Give your answer as a fraction in its simplest form.

[Jawaban] In a floor plan, the length, [tex]$l$[/tex], of a rectangular room is twice its width, [tex]$w$[/tex]. The perimeter of the room must be greater than 72 feet. Which inequality can be used to find all possible widths of the room, in feet? A. [tex]$6 w\ \textgreater \ 72$[/tex] B. [tex]$6 w\ \textless \ 72$[/tex] C. [tex]$3 w\ \textgreater \ 72$[/tex] D. [tex]$3 w\ \textless \ 72$[/tex]

[Jawaban] Given that $\cos \beta=-\frac{1}{\sqrt{5}}$, where $180^{\circ}<\beta<360^{\circ}$. Determine, with the aid of a sketch and without using a calculator, the value of $\sin \beta$.

[Jawaban] Factor $16 x^2+40 x+25$ A. $(4 x+5)(-4 x-5)$ B. $(4 x-5)^2$ C. $(4 x+5)^2$ D. $(-4 x+5)^2$

[Jawaban] Solve for $y$. $ \begin{array}{l} y+4=3(x+5) \\ y=[?] x+\square \end{array} $

[Jawaban] The equation $h=7 \sin \left(\frac{\pi}{21} t\right)+28$ can be used to model the height, $h$, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, $t$, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at $t=0$, and that the windmill turns counterclockwise at a constant rate. A. 7 feet B. 14 feet C. 21 feet D. 28 feet

[Jawaban] Which best describes the charting method of note-taking? A. It requires more writing than other note-taking methods. B. It shows the most relevant information in a clear way. C. It does not show connections between facts and details. D. It does not rely on awareness of the categories covered.

[Jawaban] Use long division to find the quotient below. $\left(4 x^2-7 x-2\right)-(x-2)$ A. $4 x+1$ B. $3 x+1$ C. $4 x-1$ D. $3 x-1$

[Jawaban] (b) A potential is given by the expression [tex]$V=2(x+1)^2(y+2)^2(z+3)^2$[/tex] volts in free space. Determine each of the following at point [tex]$P (1,2,3)$[/tex]: (i) potential; (ii) electric field; (iii) electric flux density.

[Jawaban] Which equation has the solutions [tex]x=\frac{-3 \pm \sqrt{3} i}{2}[/tex]? A. [tex]x^2+3 x+3=0[/tex] B. [tex]2 x^2+6 x+9=0[/tex] C. [tex]2 x^2+6 x+3=0[/tex] D. [tex]x^2+3 x+12=0[/tex]