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In **Mathematics** / **College** | 2025-08-20

[Done] The height $h$ (in feet) of an object $t$ seconds after it is dropped can be modeled by the quadratic equation $h=-16 t^2+h_0$, where $h_0$ is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation $h=-16 t^2+255$ for $t$, using the quadratic formula to determine the time it takes the rock to reach the canyon floor. A. $t \approx 0.87 s$ B. $t \approx 4 s$ C. $t=8.5 s$ D. $t=16 s

In **Mathematics** / **College** | 2025-08-20

[Done] Given the function [tex]f(x)=6|x-2|+3[/tex], for what values of [tex]x[/tex] is [tex]f(x)=39[/tex]?

In **Mathematics** / **High School** | 2025-08-20

[Done] Calculate $\frac{13.2+8.9}{2.3^2}$ (a) Write down your full calculator display. (b) Write your answer to 2 significant figures.

In **Mathematics** / **College** | 2025-08-20

[Done] Given [tex]$\lim _{x \rightarrow-2} f(x)=15$[/tex] and [tex]$\lim _{x \rightarrow-2} g(x)=-5$[/tex], evaluate [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]$[/tex] A. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-10$[/tex] B. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=5$[/tex] C. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-1$[/tex] D. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-4$[/tex]

In **Business** / **College** | 2025-08-20

[Done] Which statement corrects the Lone Creator Myth? A. Only experts can make breakthroughs. B. Working with others provides more resources, perspectives, and peer-review for brainstorming new ideas. C. You have to be born with the ability to be creative. D. Working in teams is just a distraction to the creative process.

In **Mathematics** / **High School** | 2025-08-20

[Done] What is the volume of a cylinder with a height of 3 cm and a radius of 4 cm? Leave your answer in terms of π.

In **Mathematics** / **High School** | 2025-08-20

[Done] -3=\frac{9(5-2 k)}{5}

In **Mathematics** / **College** | 2025-08-20

[Done] Which shows one way to determine the factors of [tex]x^3+5 x^2-6 x-30[/tex] by grouping? A. [tex]x(x^2-5)+6(x^2-5)[/tex] B. [tex]x(x^2+5)-6(x^2+5)[/tex] C. [tex]x^2(x+5)-6(x+5)[/tex]

In **Mathematics** / **College** | 2025-08-20

[Done] The populations and land areas of four cities in Texas are shown. \begin{tabular}{|l|r|r|} \hline & Population & Area $\left( km ^2\right)$ \\ \hline City A & $2,195,914$ & 1,553 \\ \hline City B & 48,592 & 26 \\ \hline City C & $1,257,676$ & 999 \\ \hline City D & 196,429 & 258 \\ \hline \end{tabular} Which statements are true? Select three options. A. The population density for City B can be found using the ratio $48,592: 26$. B. The population density for City D can be found using the ratio $258: 196,429$. C. City A has the greatest population density of the four cities. D. The population density of City B is greater than that of City C. E. City D has the lowest population density of the four cities.

In **Mathematics** / **College** | 2025-08-20

[Done] Solve for $k$. $\frac{k-7}{2}=1$