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Questions in mathematics

[Jawaban] A parabola with a vertex at $(0,0)$ has a directrix that crosses the negative part of the $y$-axis. Which could be the equation of the parabola? A. $x^2=-4 y$ B. $x^2=4 y$ C. $y^2=4 x$ D. $y^2=-4 x$

[Jawaban] Enter the degree of the polynomial below. $5 x^5+8 x^2+2 x-3 x^9-8 x^4-4 x^5$ A. 8 B. 9 C. 5 D. 6

[Jawaban] Tue orth J-J, 2025. Mic isth Meh, 2487. 9) Given that [tex]$z=\binom{4}{4}, \underset{\sim}{b}=\binom{5}{12}, c\binom{-4}{-2}$[/tex] and [tex]$d=\left(-\frac{12}{4}\right.$[/tex] Worker x in column form each of the following a) [tex]$\underline{x}+\underline{d}=\underline{g}$[/tex] b) [tex]$c-b=a-x$[/tex] c) [tex]$2 b=3 c-x$[/tex] d) [tex]$2 x+q=x+b$[/tex] e) [tex]$3 x-a=x+d$[/tex] b [tex]$\begin{array}{rlrl} 2(x)+1 & 3 x-1 & =x+d \\ 4 & =\{x+-12 \\ 4 & 3 x-1 & =x+12 \\ 2 x-12 & 3 x-1 & =x-12 \end{array}$[/tex]

[Jawaban] Solve $2 x+4 \leq 12$ or $9+12 x \geq 117$

[Jawaban] Choose from the drop-down menus to match the trigonometric expression with its value. [tex]\sin \frac{2 \pi}{5} \cos \frac{\pi}{10}+\cos \frac{2 \pi}{5} \sin \frac{\pi}{10}=[/tex] [tex]\cos 13^{\circ} \cos 47^{\circ}-\sin 13^{\circ} \sin 47^{\circ}=[/tex] [tex]\sin \frac{2 \pi}{5} \cos \frac{8 \pi}{5}+\cos \frac{2 \pi}{5} \sin \frac{8 \pi}{5}=[/tex]

[Jawaban] $\frac{\cos \left(360^{\circ}-\theta\right) \cdot \tan \left(180^{\circ}-\theta\right)}{\cos \left(180^{\circ}-\theta\right)}$

[Jawaban] A survey asked 60 students if they play an instrument and if they are in band. 1. 35 students play an instrument. 2. 30 students are in band. 3. 30 students are not in band. Which table shows these data correctly entered in a two-way frequency table? A. \begin{tabular}{|l|c|c|c|} \hline & Band & Not in band & Total \\ \hline Play instrument & 30 & 5 & 35 \\ \hline Don't play instrument & 0 & 25 & 25 \\ \hline Total & 30 & 30 & 60 \\ \hline \end{tabular} B. \begin{tabular}{|l|l|l|l|} \hline & Band and play instrument & Not in band and piay instrument & Total \\ \hline Not in band and don't play instrument & 30 & 0 & 30 \\ \hline Band and don't play instrument & 5 & 25 & 30 \\ \hline Total & 35 & 25 & 60 \\ \hline \end{tabular} C. \begin{tabular}{|l|c|c|c|} \hline & Band & \begin{tabular}{c} Don't play \\ instrument \end{tabular} & Total \\ \hline Not in band & 30 & 5 & 35 \\ \hline Play instrument & 0 & 25 & 25 \\ \hline Total & 30 & 30 & 60 \\ \hline \end{tabular} D. \begin{tabular}{|l|c|c|c|} \hline & Band & Not in band & Total \\ \hline Play instrument & 30 & 0 & 30 \\ \hline Don't play instrument & 5 & 25 & 30 \\ \hline Total & 35 & 25 & 60 \\ \hline \end{tabular}

[Jawaban] Which of the following uses estimation to check $267-154=113$? A) $270-150=120$ B) $300-200=100$ C) $300-150=150$ D) $113+154=267$

[Jawaban] 1) (-x^4y^2 - 3) + (-14x^4y^2 + 9) 2) (a^2 - 17) - (4a^2 + 8) 3) (-17x^2y + 11xy - 2) + (-11xy - 8) 4) (m^2 - 3m - 5) + (m^2 + 10m - 8)

[Jawaban] Find the cost of levelling the field, square in shape with one side of 20 m at the rate of ₹4.80 per m². Find the cost of fencing a rectangular field 30 m by 10 m.