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Questions in mathematics

[Done] $7 \sqrt{3}-2 \sqrt{2}+3 \sqrt{2}+5 \sqrt{3}$

[Done] Which represents the solution of $-9.5+6 x \geq 42.1$ using interval notation? A. ( $8.6, \infty$ ) B. [8.6, $\infty$ ) C. ( $\infty, 8.6$ ) D. ( $\infty, 8.6$ ]

[Done] This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is female? Round your answer to two decimal places. \begin{tabular}{|l|c|c|c|} \hline & Action & Drama & Total \\ \hline Male & 105 & 124 & 229 \\ \hline Female & 99 & 151 & 250 \\ \hline Total & 204 & 275 & 479 \\ \hline \end{tabular} A. 0.25 B. 0.21 C. 0.52 D. 0.43

[Done] For each of the following pairs, verify the relationship given below: LCM x HCF = Product of the given numbers 1) 9 and 11 2) 40 and 45 3) 20 and 28 4) 30 and 75

[Done] If F is the function defined by F(x) = 3x - 1, find the solution set for F(x) = 2. A. {1} B. {\frac{1}{3}} C. {5} D. {8}

[Done] Given: [tex]$f(x)=-2 x^3+5 x^2+4 x-3$[/tex] 2.3.1 Solve for [tex]$x$[/tex] if [tex]$f(x)=0$[/tex]. 2.3.2 Calculate the coordinates of B and E, the turning points of [tex]$f$[/tex].

[Done] Expand the following logarithm expression into a sum or difference of logs. $\log _{32}\left(\frac{32 z^3 w^9}{x^2}\right)$

[Done] Solve the system: 6x - y = 12 3x + 4 = 6

[Done] The table above shows four numeric expressions. Which expression is an integer when it's evaluated? A) F B) E C) H D) G

[Done] The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.) | Year | Population (millions) | |---|---| | 1750 | 790 | | 1800 | 980 | | 1850 | 1260 | | 1900 | 1650 | | 1950 | 2560 | | 2000 | 6080 | (a) Use the exponential model and the population figures for 1750 and 1800 to predict the world population (in millions of people) in 1900 and 1950. (Compare with the actual figures.) 1900 million people 1950 million people (b) Use the exponential model and the population figures for 1800 and 1850 to predict the world population (in millions of people) in 1950. (Compare with the actual population.) million people (c) Use the exponential model and the population figures for 1900 and 1950 to predict the world population (in millions of people) in 2000. (Compare with the actual population.) million people