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Questions in mathematics

[Done] The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where [tex]a_n[/tex] is the foot length in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. [tex]a_n-751+035(n-1)[/tex] [tex]a_n=9+0.35(n-1)[/tex] [tex]a_n=9+2.86(n-1)[/tex] [tex]a_n=10.31+2.86(n-1)[/tex]

[Done] Students from School A and School B were asked whether they watch TV or use the internet after finishing their homework. The two-way table shows the results from the two surveys. Which statement is true? | | Internet | Not Internet | Total | |----------|----------|--------------|-------| | TV | 30 | 5 | 35 | | Not TV | 11 | 4 | 15 | | Total | 41 | 9 | 50 | A. More students do both activities at A than at B. B. More students watch TV at B than at A. C. More students do neither activity at B than at A. D. More students were surveyed at A than at B.

[Done] 1. 43 - (70) 2. (-31) - (17) 3. 56 - (-9) 4. (-72) - (-81) 5. (-100) - (-63) 6. 0 - (-65) 7. (-16) - 9 - (-15) 8. (-26) + (-34) + (-30) 9. 68 - (-32) - (-15) 10. Subtract (i) +25 from (-35), (ii) (-26) from (-34). 11. The sum of two integers is 34. If one of the integers is (-18), find the other. 12. The sum of two integers is -48. If one of the integers is 17, find the other.

[Done] 3) 1/9, 1/3, 1, 3, ... a. Solve for the 8th term: $a_8 = 243$ b. Solve for the 3rd term: $a_3 = 1$

[Done] Teachers and students are playing a game together. Students clap after every 3 seconds, while the teacher claps after every 6 seconds. If both of them start the game together, when will both the teacher and students clap together the next time? Two traffic lights at an intersection change at different intervals. The first light changes every 45 seconds, and the second light changes every 60 seconds. If both lights just changed together, in how many seconds will they change together again? Two cleaning robots are set to clean at different intervals. Robot A cleans every 18 hours, and Robot B cleans every 24 hours. If both robots start cleaning at midnight, when will they clean together again?

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] (18) Out of 120 students in SSS 3, [tex]$\frac{5}{8}$[/tex] like football and [tex]$\frac{2}{5}$[/tex] like swimming. Every student like at least one of these sports. (a) What fraction of the students in [tex]$SSS _3$[/tex] like both subjects? (b) What fraction of the students like football but not swimming? (c) What fraction of the students like swimming only?

[Done] Factor. [tex]x^2-15 x+50[/tex] (x-10)(x-5) (x+5)(x+10) (x-10)(x+5) (x-5)(x+10)

[Done] \frac{(-2)^8 \cdot 5^3}{5^4 \cdot 2^{10} \cdot 10}

[Done] Solve $|x+7| \geq 8$ A) $x \leq-15$ or $x \geq 1$ B) $x \leq-15$ and $x \geq 1$ C) $-15 \leq x \leq 1$ D) $x \geq 1$ or $x \geq-15$