Questions in mathematics

Questions in mathematics

📝 Answered - A cubical water tank is 1.2 m high. How many litres of water does it hold? ($1000 cm^3 = 1$ litre)

📝 Answered - Which of the following graphs could be the graph of the function [tex]$f(x)=0.03 x^2(x^2-25)$[/tex]?

📝 Answered - The ageing year up so teachers. $2137 \quad 49 \quad 27 \quad 49 \quad 42 \quad 26 \quad 33 \quad 246 \quad 210$ So $\begin{array}{lllllllll}29 & 23 & 24 & 29 & 31 & 36 & 22 & 27 & 38\end{array}$ $\begin{array}{llllllllll}31 & 26 & 42 & 39 & 34 & 23 & 21 & 32 & 41 & 46\end{array}$ $\begin{array}{lllllllll}46 & 21 & 33 & 29 & 28 & 23 & 47 & 40 & 34\end{array} \quad 44$ $\begin{array}{llllllll}26 & 38 & 34 & 49 & 45 & 27 & 25 & 33\end{array} \quad 39 \quad 40$ Form a frequency distribution labile party dada using the interval of $21=25,26-30.31-35 \ldots$ Calculate the mode, mean and medan Calculate the variance and standard deviation.

📝 Answered - Write $\frac{1+\sqrt{-32}}{4}$ as a complex number in the form $a+b i$, where $a$ and $b$ are real numbers.

📝 Answered - Which function has a vertex at the origin? A. [tex]f(x)=(x+4)^2[/tex] B. [tex]f(x)=x(x-4)[/tex] C. [tex]f(x)=(x-4)(x+4)[/tex] D. [tex]f(x)=-x^2[/tex]

📝 Answered - You pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get a points; if not, you lose 1 point. Write the equation for the expected value. [tex] \begin{aligned} E(V) & =\frac{1}{52}(a)+\frac{b}{52}(c) \\ a & =\square c=\square \end{aligned} [/tex]

📝 Answered - Finish converting the general form of a hyperbola to standard form in order to identify the type of transverse axis, the center, and the coordinates of the foci. [tex] \begin{aligned} x^2-4 y^2-4 x-48 y-144=0 & \\ x^2-4 x-4 y^2-48 y & =144 \\ \left(x^2-4 x\right)-4\left(y^2+12 y\right) & =144 \\ \left(x^2-4 x+4\right)-4\left(y^2+12 y+36\right) & =144+4-144 \\ (x-2)^2-4(y+6)^2 & =4 \end{aligned} [/tex] The transverse axis for this hyperbola is The center is located at [$\square$] The coordinates of the foci are [$\square$]

📝 Answered - Determine the slope-intercept form of the equation of the line parallel to [tex]y=-\frac{4}{3} x+11[/tex] that passes through the point (-6,2). [tex]y=\square x+\square[/tex]

📝 Answered - Which statement about the following equation is true? [tex]3 x^2-8 x+5=5 x^2[/tex] A. The discriminant is less than 0, so there are two real roots. B. The discriminant is greater than 0, so there are two real roots. C. The discriminant is less than 0, so there are two complex roots. D. The discriminant is greater than 0, so there are two complex roots.

📝 Answered - Fill in the gaps to factorise this expression: [tex]2 x-8=2(--\quad)[/tex]