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Questions in mathematics

[Done] Simplify $\sqrt{48 n^5}$. The simplified expression is $\square$.

[Done] 3. Arrange the following in ascending order. a. 4128, 2508, 8456, 7880 b. 6436, 3471, 1203, 4810 c. 3567, 9631, 3067, 1926

[Done] Four athletes run twice around a track. The table shows their times at the end of each lap. Which athlete runs the second lap the fastest? | Athlete | Time at end of first lap (s) | Time at end of second lap (s) | |---------|------------------------------|-------------------------------| | A | 22.99 | 47.04 | | B | 23.04 | 47.00 | | C | 23.16 | 47.18 | | D | 23.39 | 47.24 |

[Done] A geometric figure is reflected over the y-axis. Which of the following best describes this transformation? A. The figure is flipped across a line, producing a mirror image. B. The figure turns around the point, changing the orientation of its points relative to the point. C. The figure is moved from one position to another while maintaining its orientation. D. The figure is stretched away from the point.

[Done] Question 2: A) Explain integrality constraints in IP. OR B) How do mixed integer problems differ from pure integer problems?

[Done] Write >, <, or =. 1. 390 309 2. 311 321 3. 399 398 4. 340 350 5. 300 300

[Done] Graph the function. [tex]$h(x)=-\frac{1}{5} x^2+2 x$[/tex]

[Done] Factor. $x^2+12 x+27$ $(x-3)(x-9)$ $(x+3)(x-9)$ $(x+9)(x+3)$ $(x+9)(x-3)$

[Done] Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way table. | | 7th | 8th | Total | | :----- | :---- | :---- | :------ | | Drama | 11% | 15% | 26% | | Action | 25% | 19% | 44% | | Comedy | 14% | 16% | 30% | | Total | 50% | 50% | 100% | Which statements are correct? Check all that apply. A. More 7th graders were surveyed than 8th graders. B. The marginal relative frequency for action movies is [tex]$44 \%$[/tex]. C. The joint relative frequency for 8th graders who like comedy movies is [tex]$16 \%$[/tex]. D. Most students prefer drama movies. E. Half of the 7th graders prefer action movies.

[Done] Write a Pythagorean triplet whose smallest number is 14. One member of a Pythagorean triplet is 18. Find other two members of the triplet.