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Questions in mathematics

[Answered] Select the correct answer. The population of deer in a forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year. Based on this prediction, about how many years will it take for the population to double in size? Use the equation [tex]$P=P_0(1+r)^{ t }$[/tex], in which [tex]$P_0$[/tex] represents the initial population size, [tex]$r$[/tex] represents the growth rate, [tex]$t$[/tex] represents the number of years, and [tex]$P$[/tex] represents the final population size. A. 3.8 years B. 5.0 years C. 0.3 year D. 1.8 years

[Answered] The equation $4[x+2(3 x-7)]=22 x-65$ was simplified to write the equivalent equation of $28 x-56=22 x-65$. What is the solution of the equation $4[x+2(3 x-7)]=22 x-65$? A. $\frac{3}{2}$ B. $-\frac{2}{3}$ C. $\frac{2}{3}$ D. $-\frac{3}{2}$

[Answered] Solve the equation. [tex]$16+19=-5(6 x-7)$[/tex]

[Answered] \begin{array}{r}19 \frac{2}{3} \\ -14 \\ \hline\end{array}

[Answered] Simplify: $\frac{x^2+4 x+3}{x^2+3 x+2} \cdot \frac{x+2}{x+3}$

[Answered] Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality: [tex]$3 x-11\ \textgreater \ 7 x+9$[/tex]

[Answered] Which geometric series diverges? $\frac{3}{5}+\frac{3}{10}+\frac{3}{20}+\frac{3}{40}+\ldots$ $-10+4-\frac{8}{5}+\frac{16}{25}-\ldots$ $\sum_{n=1}^{\infty} \frac{2}{3}(-4)^{n-1}$ $\sum_{n=1}^{\infty}(-12)\left(\frac{1}{5}\right)^{n-1}$

[Answered] Factor the following expression: [tex]x^3-64[/tex]

[Answered] Given: $-8 x+5+3=-24$ Prove: $x=4$

[Answered] Which term best represents the intersection of two walls next to each other in a room? A. angle B. point C. line D. plane