Questions in mathematics

Questions in mathematics

📝 Answered - Find the rate of change of [tex]y[/tex] with respect to [tex]x[/tex] at the indicated value of [tex]x[/tex]. [tex]y=\csc x-2 \cos x ; \quad x=\frac{\pi}{6}[/tex]

📝 Answered - Multiply $3 / 4 \times 16 / 9$. A. $64 / 27$ B. $4 / 3$ C. $27 / 64$ D. $3 / 4$

📝 Answered - Solve the equation. Express numbers in simplest form. [tex]$-2 a+78=24$[/tex]

📝 Answered - Simplify by combining like terms. (42.) $3-8(7-5 n)$

📝 Answered - Find the logarithm using the change of base formula. [tex]$\log _4 20$[/tex]

📝 Answered - Suppose the graph of [tex]y=x^{\frac{5}{2}}[/tex] is shifted to the left 7 units. What is the equation that gives the new graph? The equation that gives the new graph is [tex]y=[/tex] $\square$

📝 Answered - The U.S. population was about $321,400,000$ in 2015. What's this number in scientific notation? A. $3.214 \times 10^7$ B. $3.214 \times 10^8$ C. $3.214 \times 10^9$ D. $321.4 \times 10^6$

📝 Answered - The graph of the function [tex]f(x)=(x+2)(x-4)[/tex] is shown. Which describes all of the values for which the graph is negative and increasing? A. all real values of [tex]x[/tex] where [tex]x\ \textless \ -2[/tex] B. all real values of [tex]x[/tex] where [tex]-2\ \textless \ x\ \textless \ 4[/tex] C. all real values of [tex]x[/tex] where [tex]1\ \textless \ x\ \textless \ 4[/tex] D. all real values of [tex]x[/tex] where [tex]x\ \textless \ 0[/tex]

📝 Answered - Which of the following is a like radical to $3 \times \sqrt{5}$ ? A. $x(\sqrt[3]{5})$ B. $\sqrt{5 y}$ C. $3(\sqrt[3]{5 x})$ D. $y \sqrt{5}$

📝 Answered - Working together, Melissa and Jing can mow a lawn in 5 hours. It would take Melissa 8 hours to do the job alone. | | Rate (part/hour) | Time (hours) | Part of Lawn Mowed | | :------ | :--------------- | :----------- | :----------------- | | Melissa | [tex]$\frac{1}{8}$[/tex] | 5 | [tex]$\frac{5}{8}$[/tex] | | Jing | r | 5 | 5r | What is the value of [tex]$r$[/tex], the part of the lawn that Jing could complete in 1 hour? A. 0.075 B. 0.125 C. 0.375 D. 0.625