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Questions in mathematics

[Jawaban] Perform the multiplication: $-0.6 a^2 b \cdot\left(-10 a b^2\right)$

[Jawaban] Find the value of the expression: [tex]\frac{1}{21} x^2 y^2 \text { for } x=-\frac{1}{3}, y=4 \frac{1}{2}[/tex]

[Jawaban] Factorise the equation [tex]$3 y(2 y+a)(5-y)=6$[/tex]

[Jawaban] Which equation is quadratic in form? $3 x^5+8 x^3+6=0$ $6 x^4+7 x^2-3=0$ $5 x^6+x^4+12=0$ $x^9+x^3-10=0$

[Jawaban] Which sample has a higher standard deviation? Sample A: 82, 85, 87, 88, 91, 93 Sample B: 68, 73, 74, 77, 81, 81 Select the correct answer below and fill in the answer box to complete your choice. A. Sample A has the higher standard deviation of [ ]. B. Sample B has the higher standard deviation of [ ].

[Jawaban] Find the rate of change represented by the data in the table below. \begin{tabular}{l|lllll} $x$ & -8 & -4 & 0 & 4 & 8 \\ \hline $y$ & -5 & -2 & 1 & 4 & 7 \end{tabular} Is the rate of change positive or negative? a) positive b) negative Rate of Change: $\frac{\text { change in } y}{\text { change in } x}$

[Jawaban] Use the substitution method to solve the system of equations. Choose the correct ordered pair. [tex]$\begin{array}{l} 2 x+2 y=16 \\ y=x-4 \end{array}$[/tex] A. (2,-2) B. (6,-2) C. (2,2) D. (6,2)

[Jawaban] Given $y=(2 x+3)^2$, choose the standard form of the given quadratic equation. A. $0=4 x^2+10 x+6$ B. $0=25 x^2$ C. $0=4 x^2+9$ D. $0=4 x^2+12 x+9$

[Jawaban] Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom deposits $40.00 on his public transportation card. It costs him $2.00 per trip to ride the subway. If [tex]$x$[/tex] represents the number of trips and [tex]$y$[/tex] represents the amount remaining in each account, which system of equations represents their transportation costs? [tex] \begin{array}{l} 50-2.5 x=y \\ 40-2 x=y \end{array} [/tex] [tex]$50+2.5 x=y$ $40+2 x=y$ [/tex] [tex]$50-2.5 y=x$ $40-2 y=x$ [/tex] [tex]$50+2.5 y=x$ $40+2 y=x$ [/tex]

[Jawaban] $\int \tan ^2 x dx=$ A. $\sec ^2 x+c$ B. $2 \tan x+c$ C. $\tan x-x+c$ D. $2 \tan x-x+c$