Questions in mathematics

Questions in mathematics

[Answered] Which of the following statements is true?

[Answered] Consider a quadrilateral with vertices A(2, 2), B(2,5), C(7, 2), and D(7,5). What is the shape and area of quadrilateral ABCD? Quadrilateral ABCD is a with an area of square units.

[Answered] The rule $T_{5,-0.5^{\circ}} R_{0,180^{\circ}}(x, r)$ is applied to $\Delta F G H$ to produce $\Delta F ^{\prime} G ^{\prime \prime} H ^{\prime \prime}$. What are the coordinates of vertex $F ^{\prime \prime}$ of $\Delta F ^{\prime \prime} G ^{\prime \prime} H ^{\prime \prime}$ ? (4,-1.5) (4,-0.5) (-1.5,4) ( -0.5,4 )

[Answered] A credit card-sized piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base? [tex]$45=\frac{1}{3}(\xi)^2(800)$[/tex] [tex]$45=\frac{1}{3}(5)(300)$[/tex] [tex]$300=\frac{7}{3}\left(8^2\right)(45)$[/tex] [tex]$300=\frac{9}{3}(B)(-45)$[/tex]

[Answered] A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find $x$, the speed of the boat in miles per hour, and $y$, the speed of the current in miles per hour? Recall the formula $d=r t$. A. [tex] \begin{array}{l} 9=0.5(x-y) \\ 9=1.5(x+y) \end{array} [/tex] B. [tex] \begin{array}{l} 9=1.5(x-y) \\ 9=0.5(x+y) \end{array} [/tex] C. [tex]$0.5=9(x-y)$\\ $1.5=9(x+y)$[/tex] D. [tex]$1.5=9(x-y)$\\ $0.5=9(x+y)$[/tex]

[Answered] A supervisor finds the mean number of miles that the employees in a department live from work. He finds [tex]$\bar{x}=29$[/tex] and [tex]$s=3.6$[/tex]. Which statement must be true? [tex]$z_{37}$[/tex] is within 1 standard deviation of the mean. [tex]$z_{37}$[/tex] is between 1 and 2 standard deviations of the mean. [tex]$z_{37}$[/tex] is between 2 and 3 standard deviations of the mean. [tex]$z_{37}$[/tex] is more than 3 standard deviations of the mean.

[Answered] Consider the following function: [tex]q(x)=-x^2+6 x-8[/tex] Step 1 of 4: Find the vertex.

[Answered] The cylindrical water tank on a semitrailer has a length of 20 feet. The volume of the tank is equal to the product of [tex]$\pi$[/tex], the square of the radius of the tank, and the length of the tank. Let [tex]$V$[/tex] represent the volume of the tank, [tex]$r$[/tex] represent the radius of the tank, and [tex]$h$[/tex] represent the length of the tank. Part A: Create an equation that could be used to find the volume, [tex]$V$[/tex], of the cylindrical tank.

[Answered] Approximate the number using a calculator. [tex]e^{2.1}[/tex] [tex]e^{2.1} \approx[/tex] $\square$ (Round to three decimal places.)

[Answered] It takes $1 \frac{1}{2}$ hours to complete each homework assignment assigned to you. You spend $51 / 4$ hours working on homework assignments. How many assignments did you complete in this time?