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Questions in mathematics

[Answered] Which equation represents a line with a slope of zero? [tex]y=2 x[/tex] [tex]y=-\frac{1}{2} x+\frac{1}{2}[/tex] [tex]y=4[/tex] [tex]x=-5[/tex]

[Answered] (a) How much money did Nestor spend on the books? Nestor spent $90 of his money on some toys in May. He spent 1/4 of the remaining money on some books. Then he had 1/3 of his money left.

[Answered] Evaluate the integral. Give result in exact form. [tex]$\int_{\frac{x}{2}}^{\frac{5}{8}}(3 \cos (x)+6) d x=\square$[/tex]

[Answered] Factor the expression completely: $45 b c x-10 a x$

[Answered] What is the equation of the line parallel to the given line with an $x$-intercept of 4? $y=\square x+\square$

[Answered] A survey is conducted to study the favorite sport of individuals in different age groups. The two-way table is given below: | | Football | Basketball | Baseball | Total | | :-------------------- | :------- | :--------- | :------- | :---- | | $8 - 12 ~ yrs$ | 10 | 12 | 10 | $32$ | | $13 - 17 ~ yrs$ | 8 | 6 | 24 | $38$ | | $18 - 22 ~ yrs$ | 16 | 2 | 12 | $30$ | | Total | $34$ | $20$ | $46$ | $100$ | What is the probability that a randomly selected person from this survey's favorite sport is basketball, given they are 18 to 22 years old? $P(\text{Basketball} \mid 18-22 yrs) = [?] \%$ Round your answer to the nearest whole percent.

[Answered] Select the correct answer. What is the solution for $x$ in the equation? $-2 x+14+10 x=34$ A. $x=\frac{1}{8}$ B. $x=\frac{5}{2}$ C. $x=6$ D. $x=\frac{2}{5}$

[Answered] What are the domain, range, and asymptote of [tex]h(x)=(0.5)^x-9[/tex]? A. domain: [tex] \{x \mid x\ \textgreater \ 9\} [/tex]; range: [tex] \{y \mid y [/tex] is a real number [tex] \} [/tex]; asymptote: [tex]y=9[/tex] B. domain: [tex] \{x \mid x\ \textgreater \ -9\} [/tex]; range: [tex] \{y \mid y [/tex] is a real number [tex] \} [/tex]; asymptote: [tex]y=-9[/tex] C. domain: [tex] \{x \mid x [/tex] is a real number [tex] \} [/tex]; range: [tex] \{y \mid y\ \textgreater \ 9\} [/tex]; asymptote: [tex]y=9[/tex] D. domain: [tex] \{x \mid x [/tex] is a real number [tex] \} [/tex]; range: [tex] \{y \mid y\ \textgreater \ -9\} [/tex]; asymptote: [tex]y=-9[/tex]

[Answered] 1. Which of the following rational numbers are equal? (i) [tex]$\frac{-7}{21}$[/tex] and [tex]$\frac{3}{-9}$[/tex] (ii) [tex]$\frac{-8}{-14}$[/tex] and [tex]$\frac{4}{7}$[/tex] 2. Which pairs represent the same rational number? (i) [tex]$\frac{-11}{-13}$[/tex] and [tex]$\frac{33}{39}$[/tex] (ii) [tex]$\frac{7}{13}$[/tex] and [tex]$\frac{35}{-65}$[/tex]

[Answered] The shoe sizes of a group of middle school girls are shown. If a shoe size of 9 is added to the data, how does the median change?