Questions in mathematics

Questions in mathematics

📝 Answered - Find the volume of the solid whose base is bounded by $y=x$ and $y=x^3-3 x$, having cross sections that are right triangles with a height of 4, taken perpendicular to the $x$-axis. $V=[?]$

📝 Answered - Simplify: $2(a+5)-2 a(3 a+4)$ A. $-4 a+2$ B. $-6 a^2-6 a+10$ C. $-8 a^2-6 a+10$ D. $-4 a^2-6 a+5$

📝 Answered - Miranda brought 24 cookies to share with her class. [tex]$\frac{2}{3}$[/tex] of the cookies are chocolate chip. How many are chocolate chip? A. 16 B. 20 C. 12 D. 18

📝 Answered - What can you conclude from her work? Check all that apply. The function is continuous. Time represents the dependent variable. The scenario is represented by a linear function, since the rate of change is constant. As the amount of time continues, there are fewer cups of juice poured per hour. For every additional hour, 53 cups of juice are poured.

📝 Answered - What is the following product? Assume [tex]$x \geq 0$[/tex] and [tex]$y \geq 0$[/tex]. [tex]$\sqrt{5 x^8 y^2} \cdot \sqrt{10 x^3} \cdot \sqrt{12 y}$[/tex] A. [tex]$3 x^5 y \sqrt{3 x y}$[/tex] B. [tex]$10 x^5 y \sqrt{6 x y}$[/tex] C. [tex]$3 x^3 y \sqrt{3 x^2 y^2}$[/tex] D. [tex]$10 x^3 y \sqrt{6 x^2 y^2}$[/tex]

📝 Answered - (1+2)/3 Options: 1) 3/3 2) 1 3) 7/3 4) 5/3

📝 Answered - If \(a = 9 - 4 \sqrt{5}\), then find the value of \(a - \frac{1}{a}\).

📝 Answered - Sita can complete a project in 4 days, and Gita can complete the same project in 5 days. Their sister Rita can do a project in 4 days, while for the same project Gita requires 3 days. All of them working together can finish a particular project in 25 days. 9. How many days are required by Rita to complete the project alone? 1) 200 days 2) 145 days 3) 150 days 4) 100 days 10. How many days are required by Gita if she works alone to complete the project? 1) 175 days 2) 75 days 3) 100 days 4) 150 days

📝 Answered - $x=-2 \lor$. Step 4: Evaluate the function at two other $x$-values: $h(-4)=-2 \lor h(-6)=$ $\square$

📝 Answered - School A has graduated 1,700 students and graduates 50 students every year. School B has graduated 600 students, but graduates 150 every year. How many years (Y) will it be before School B has as many graduates as School A? [tex] \begin{array}{l} g=50 Y+1,700 \\ g=150 Y+600 \end{array} [/tex] [?] years