Questions in mathematics

Questions in mathematics

📝 Answered - Question 6 (Multiple Choice Worth 3 Points) (02.07 MC) Triangle ABC maps to A'B'C' as shown. A(-5;-3), B(-2;-3) C(-2;-8) A'(3;-5) B'(3;-2) C'(8;-2) Is triangle ABC congruent to triangle A'B'C'? Why, or why not?

📝 Answered - Study the equations: [tex] \begin{array}{l} f(x)=6 x+7 \\ g(x)=4 x-2 \end{array} [/tex] What is [tex]h(x)=f(x) g(x)[/tex] ? A. [tex]h(x)=24 x^2-14[/tex] B. [tex]h(x)=24 x^2+40 x+14[/tex] C. [tex]h(x)=24 x^2+16 x-14[/tex] D. [tex]h(x)=24 x^2+12 x-14[/tex]

📝 Answered - TSA of a hemisphere is [tex]27\pi[/tex] [tex]m^3[/tex]. What is its radius? A. 2m B. 5m C. 3m D. 9m

📝 Answered - One root of a third degree polynomial function [tex]$f(x)$[/tex] is [tex]$-5+2 i$[/tex]. Which statement describes the number and nature of all roots for this function? A. [tex]$f(x)$[/tex] has two real roots and one imaginary root. B. [tex]$f(x)$[/tex] has two imaginary roots and one real root. C. [tex]$f(x)$[/tex] has three imaginary roots. D. [tex]$f(x)$[/tex] has three real roots.

📝 Answered - Let [tex]$X \sim N(-1.7,9.8)$[/tex]. Find [tex]$P(X\ \textless \ -15.2)$[/tex]. List the [tex]$z$[/tex]-scores needed to calculate the result. If there is more than one [tex]$z$[/tex]-score, separate the values with a comma. [tex]$P(X\ \textless \ -15.2)= \square$[/tex]

📝 Answered - Solve the equation. Express numbers as integers or simplified fractions. [tex]$8 z-4=12 z+9$[/tex] The solution set is $\square$.

📝 Answered - A hi-res stock $ABC$ is such that $/AC/ = 15 cm$, and the $\Varangle BAC = 48^{\circ}$. Calculate $/BC/$ in meters, correct to 3 decimal places. [Hint: $100 cm = 1 m, \tan 48^{\circ} = 1.1106$, $\left.\operatorname{Sin} 48^{\circ} = 0.7431, \operatorname{Cos} 48^{\circ} = 0.6691\right]$

📝 Answered - What ordered pair is the solution to the following system of linear inequalities? [tex]\begin{array}{l} 4 x-2 y \leq 4 \\ 4 y\ \textless \ 2 x+5 \end{array}[/tex] A. (2,1) B. [tex]\left(1, \frac{1}{2}\right)[/tex] C. [tex]\left(\frac{1}{2},-2\right)[/tex] D. [tex]\left(\frac{3}{4},-1\right)[/tex]

📝 Answered - What is a square root of

📝 Answered - Which of the following is a perfect square? A) 279 B) 115 C) 169 D) 154