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Questions in mathematics

📝 Answered - A parcel of land is 400 feet by 640 feet. The parcel is cut in half diagonally by a stream. How many acres are in each half of the parcel? A) 2.75 B) 2.94 C) 5.51 D) 5.88

📝 Answered - $2 \frac{1}{4}-\left(-3 \frac{1}{6}\right)$

📝 Answered - To rationalize the denominator of [tex]$\frac{5-\sqrt{7}}{9-\sqrt{14}}$[/tex], you should multiply the expression by which fraction? [tex]$\frac{5+\sqrt{7}}{8-\sqrt{14}}$[/tex] [tex]$\frac{8-\sqrt{14}}{8-\sqrt{14}}$[/tex] [tex]$\frac{8+\sqrt{14}}{8+\sqrt{14}}$[/tex] [tex]$\frac{\sqrt{14}}{\sqrt{14}}$[/tex]

📝 Answered - Which expression is equivalent to $\frac{\sqrt{10}}{\sqrt[4]{8}}$ ? A. $\frac{\sqrt[4]{200}}{2}$ B. $\frac{\sqrt[4]{20}}{2}$ C. $\frac{2 \sqrt{5}}{5}$ D. $\frac{100}{8}

📝 Answered - 1. Fill in the blanks. A. 69,365 rounded off to the highest place is ________. B. 47,35,223 rounded off to the highest place is ________. 2. Estimate the answers. A. 74,345 + 65,987 B. 124,657 + 54,385 C. 4,32,907 - 2,42,357 D. 676,004 - 199,205 E. 23,754 x 686 F. 3,25,476 x 119 G. 74,454 + 738 H. 765,442 + 4,834 3. The number of male students in a city is 29,580 and that of female students is 21,344. About how many fewer females are there than males?

📝 Answered - Perform the indicated calculation. $_{48}P_2 = \boxed{\quad}$ (Type a whole number.)

📝 Answered - Which equation is equivalent to $\sqrt{x}+11=15 ?$ A. $x+11=225$ B. $x+121=225$ C. $\sqrt{x}=15+11$ D. $\sqrt{x}=15-11$

📝 Answered - Which expression is equivalent to $\sqrt{\frac{25 x^9 y^3}{64 x^6 y^{11}}}$? Assume $x>0$ and $y>0$ A. $\frac{8 y^4 \sqrt{x}}{5 x}$ B. $\frac{8 y^2 \sqrt{x}}{5}$ C. $\frac{5 \sqrt{x}}{8 y^2}$

📝 Answered - The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distances | v (mph) | d | |---|---| | 15 | 17.9 | | 20 | 31.8 | | 50 | 198.7 | [tex]d(v)=\frac{215 v^2}{644 f}[/tex] A. 41.7 ft B. 49.7 ft C. 97.4 ft

📝 Answered - Which pair of complex factors results in a real-number product? A. $(8+20 i)(-8-20 i)$ B. $3 i(1-3 i)$ C. $(4+7 i)(4-7 i)$ D. $15(-15 i)$