HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] Find [tex]\frac{5}{7}[/tex] of 35.

[Done] If [tex]f(x)=5x[/tex], what is [tex]f^{-1}(x)[/tex]?

[Done] Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true? | School B | 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] Read the following description of a relationship: Fernando uses 10 tomatoes to make each bowl of salad. Let [tex]$s$[/tex] represent the number of bowls of salad and [tex]$t$[/tex] represent the total number of tomatoes he uses. Complete the table using the equation [tex]$t=10 s$[/tex]. | [tex]$s$[/tex] | [tex]$t$[/tex] | |---|---| | 1 | 10 | | 2 | | | 3 | | | 4 | 40 |

[Done] Write an equation of the line that passes through the point $(-4,6)$ with slope -4. A. $y+4=-4(x-6)$ B. $y-6=-4(x+4)$ C. $y+4=4(x-6)$ D. $y-6=4(x+4)$

[Done] Which point is an $x$-intercept of the quadratic function $f(x)=(x+6)(x-3)$? A. $(0,-6)$ B. $(6,0)$ C. $(-6,0)$ D. $(0,6)$

[Done] Simplify the following: $\frac{-\left(-x^3 y^2 z^4\right)^5\left(-x^3 y^2 z^3\right)^3}{\left[\left(x^2 y z\right)^0\right]^4}$ = $\square$ $\sqrt{x}$

[Done] 43. Where is [tex]f(r)[/tex] not continuous? A. Nowhere B. [tex]r = \sqrt{3}[/tex] 44. Find the horizontal asymptote of [tex]y = \frac{x+8 x^3}{x^2-2}[/tex] A. Does not exist B. y = 5 C. 4 D. -2 45. Find the horizontal asymptote of the rational function [tex]\frac{x^2+2 x+1}{x^2-x^2+4}[/tex] A. 1 B. [tex]\frac{1}{8}[/tex] C. 0 46. Horizontal asymptotes divide _____ into regions. A. x-axis B. y-axis C. x intercept D. y-intercept. 47. Determine where [tex]\frac{t^{-2}}{(t-3)(t+3)}[/tex] is not continuous. A. {2,0} B. {3,-3} C. {-5,3} D. {0,2}. 48. Evaluate [tex]\lim _{x \rightarrow \infty}\left(1-\frac{3}{x}\right)^x[/tex]. A. 3 B. [tex]e^3[/tex] C. [tex]e^{-3}[/tex] D. -3. 49. If [tex]x=t^2+1[/tex] and [tex]y=t^3+2[/tex], find [tex]\frac{d y}{d x}[/tex]. A. 2t B. 3t C. [tex]\frac{3}{2}[/tex] D. [tex]\frac{3t}{2}[/tex]

[Done] 46. If a number is divisible by 45, which of the following are prime numbers? (a) 117 (b) 181 (c) 179 (d) 182 47. Express the following as the sum of two odd primes: (a) 44 (b) 36 (c) 24 (d) 18 48. Given odd prime numbers are: 11, 13, 17, 19, 23, 29, 31, 37, 41, and 43. Choose: 44 = 3 + 41 = sum of two odd primes Find the smallest number having four different prime factors. 49. Give an example of a number: (a) which is divisible by 5 but not by 10. (b) which is divisible by 7 but not by 14. (c) which is divisible by both 2 and 6 but not by 16. (d) which is divisible by both 5 and 6 but not by 18.

[Done] Simplify the following expression: -3 + 4(a - 3b + 2) - 5(2 - a + 3b) Options: 1) 3a - 9b - 5 2) 3a - b - 11 3) 9a - 27b - 5 4) -a + 3b - 5