Questions in mathematics

Questions in mathematics

📝 Answered - Identify the equation as a conditional equation, contradiction, or an identity. Then give the solution. [tex]3 m+9-12 m=-4 m+6-9 m[/tex]

📝 Answered - $\frac{1+\sqrt{2}}{\sqrt{3}+2}$

📝 Answered - Solve: [tex]4 x-7 \leq 13[/tex]. Express your answer in interval notation. The solution is [tex]x \in[/tex] [ ] (Express your answer in interval notation. Use "U" to indicate a union of intervals, and "oo" to express [tex]\infty[/tex])

📝 Answered - Use the compound-interest formula to find the account balance [tex]$A$[/tex] where [tex]$P$[/tex] is principal, r is interest rate, [tex]$n$[/tex] is number of compounding periods per year, t is time, in years, and A is account balance. The account balance is approximately [tex]$22,584.83$[/tex]. Simplify your answer. Do not round until the final answer. Then round to two decimal places as needed.

📝 Answered - Given $y =x^3$, find the approximate increase in y when x increases from 2 to 2.02 A. 0.24 B. 0.12 C. 0.48 D. 0.04

📝 Answered - Select the best answer for the question. What's the difference between $126^{1 / 4}$ and $78 \frac{2}{3}$? A. $58^{5 / 12}$ B. $57^7 / 12$ C. $48^{\frac{1}{3}}$ D. $47^7 / 12$

📝 Answered - If 10 agents working 5 hours a day complete 40 cases in 10 days, how long would it take 10 agents working 10 hours a day to complete 10 cases?

📝 Answered - Consider the indefinite integral $\int \frac{-8 e^{-8 x}}{\left(e^{-8 x}+3\right)^5} d x$: This can be transformed into a basic integral by letting $u=$ $\square$ and $d u=\square d x$ Performing the substitution yields the integral

📝 Answered - Find the anti-derivative and simplify. [tex]\begin{array}{l} \int \frac{x^2}{x^6+16} d x \\ \frac{\tan ^{-1}\left(\frac{x^3}{4}\right)}{[?]}+C \end{array}[/tex]

📝 Answered - If [tex]$\vec{a}$[/tex] is parallel to [tex]$\vec{b}$[/tex], then the value of [tex]$\vec{a} \cdot \vec{b}$[/tex] is equal to a) [tex]$\vec{a} \times \vec{b}$[/tex] b) [tex]$90^{\circ}$[/tex] c) 0 d) 1