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Questions in Grade College

📝 Answered - What is the rounded value of the 0 in the 10,000 position of 205000?

📝 Answered - $[(2+0.0031)+(41 / 123)] \times(2.45 \times 1.83)$

📝 Answered - Solve $4^{x-5}=6$ for $x$ using the change of base formula $\log _b y=\frac{\log y}{\log b}$.

📝 Answered - Which one of the following is a CORRECT statement regarding metabolism? A. Plants get the raw materials they need for life processes entirely from the air. B. Few living organisms require raw materials and a constant source of energy. C. Animals use energy obtained directly from the sun and chemicals obtained from plants, other animals, air, and water. D. Cells maintain life through the breakdown of molecules and energy by chemical and physical processes. E. Cells do not require energy to change molecules from one form to another.

📝 Answered - Which expression is equivalent to $\left(\frac{4^{\frac{1}{3}} \cdot 4^{\frac{2}{6}}}{4^{\frac{5}{6}}}\right)^{\frac{3}{11}}$ ? A. $\left(\frac{1}{4}\right)^{-\frac{3}{66}}$ B. $\left(\frac{1}{4}\right)^{\frac{3}{66}}$ C. $\left(\frac{1}{4}\right)^{\frac{1}{11}}$ D. $\left(\frac{1}{4}\right)^{-\frac{1}{11}}$

📝 Answered - [tex]x^3+3 x^2-4 x \textless \ 12[/tex]

📝 Answered - $3 y-2 \frac{3}{4}\left(\frac{1}{2} y-4\right)=-2$

📝 Answered - Select the correct answer. A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January. \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|} \hline Month, $x$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \ \hline Units, $y$ & 150 & 300 & 380 & 425 & 425 & 480 & 520 & 550 & 575 \ \hline \end{tabular} Which equation best models the situation? A. $y=148.4 \sqrt{x-1}-154$ B. $y=148.4 \sqrt{x-1}+154$ C. $y=46.4 x+191.7$ D. $y=-46.4 x+191.7$

📝 Answered - Simplify $[(3 x^2 6 y^5) \cdot (2 x^7 3 y^6)] \div (6 x^4 6 y^8)$

📝 Answered - Help Ziona to complete her data collection according to standard scientific conventions. Day 1: 1 cup = 12 cm tall 2 cup = 14 cm tall Day 3: 1 cup = 14.5 cm tall 2 cup = 15 cm tall Day 2: 1 cup = 13 cm tall 2 cup = 14 cm tall Day 4: 1 cup = 16 cm tall 2 cup = 15 cm tall