Questions in mathematics

Questions in mathematics

📝 Answered - The rule $r_{y=x} \circ T_{4,0}(x, y)$ is applied to trapezoid ABCD to produce the final image $A^{\prime \prime} B^{\prime \prime} C^{\prime \prime} D^{\prime \prime}$. Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options. (-1,0) (-1,-5) (1,1) (7,0) (7,-5)

📝 Answered - The total salary earned over twenty years is [tex] \sum_{k=1}^{20}[50,000+(k-1) 1,500][/tex]

📝 Answered - The function $f(x)=7^x+1$ is transformed to function $g$ through a horizontal compression by a factor of $\frac{1}{3}$. What is the equation of function $g$? $g(x)=(7)^{k x}+1$

📝 Answered - Use the series below to answer the following questions. [tex]$\sum_{k=1}^6 4(5)^{k-1}$[/tex] [tex]$a_1=$[/tex] $\square$ [tex]$r=$[/tex] $\square$ [tex]$n=$[/tex] $\square$

📝 Answered - Approximate the following number using a calculator. $9^{-1.3} \approx$ (Round to three decimal places as needed.)

📝 Answered - A foam cylinder, with a diameter of 3 inches and height of 4 inches, is carved into the shape of a cone. What is the maximum volume of a cone that can be carved? Round your answer to the hundredths place. A. $9.42 in ^3$ B. $14.14 in ^3$ C. $28.27 in ^3$ D. $37.70 in ^3$

📝 Answered - If [tex]f(x)=2 x^2+3[/tex] and [tex]g(x)=x^2-7[/tex], find [tex](f-g)(x)[/tex] A. [tex]3 x^2-10[/tex] B. [tex]x^2-4[/tex] C. [tex]x^2+10[/tex] D. [tex]3 x^2-4[/tex]

📝 Answered - Simplify: [tex]$\sqrt{18 x^7}$[/tex]

📝 Answered - A particle is moving with acceleration [tex]$a(t)=24 t+2$[/tex]. Its position at time [tex]$t=0$[/tex] is [tex]$s(0)=5$[/tex] and its velocity at time [tex]$t=0$[/tex] is [tex]$v(0)=16$[/tex]. What is its position at time [tex]$t=6$[/tex]?

📝 Answered - A publisher had 7654 books. He distributed 5789 books among the distributors. How many books does he have now?