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Questions in mathematics

[Jawaban] Which of the following is the correct notation for the complex number $1-\sqrt{-16}$ ? A. $i-4$ B. $1-4 i$ C. $1+4 i$ D. $1-i \sqrt{\delta}$

[Jawaban] Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true? A. More students do both activities at A than at B. B. More students watch TV at B than at A. C. More students do neither activity at $B$ than at $A$. D. More students were surveyed at A than at B.

[Jawaban] The polynomial function [tex]$F(x)=2 x^2+8 x-7$[/tex] has a critical point at which of the following [tex]$x$[/tex]-values? A. [tex]$x=0$[/tex] B. [tex]$x=2$[/tex] C. [tex]$x=-7$[/tex] D. [tex]$x=-2$[/tex]

[Jawaban] Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of [tex]$1.5 ft / s$[/tex]. When Graham's arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of [tex]$24 ft / s$[/tex]. Which system of equations can be used to model this situation? [tex]\left\{\begin{array}{l}h=18+1.5 t \\ h=5+24 t-16 t^2\end{array}\right.[/tex] [tex]\left\{\begin{array}{l}h=18+1.5 t \\ h=5+24 t+16 t^2\end{array}\right.[/tex] [tex]\left\{\begin{array}{l}h=18+1.5 t \\ h=5+24 t\end{array}\right.[/tex] [tex]\left\{\begin{array}{l}h=18+1.5 t-16 t^2 \\ h=5+24 t-16 t^2\end{array}\right.[/tex]

[Jawaban] Find the slope of the line passing through the points $(-7,9)$ and $(-7,-8)$.

[Jawaban] Planes A and B are shown. m 72 B IA If a new line, p, is drawn parallel to line /, which statement is true? A. Line p must be drawn in plane B. B. Line p must be perpendicular to line m. C. Line p must be drawn so that it can lie in the same plane as line 1. D. Line p must be drawn in the same plane as line n.

[Jawaban] Calculate the side lengths $a$ and $b$ to two decimal places. A. $a=15.81$ and $b=15.09$ B. $a=15.09$ and $b=16.75$ C. $a=2.43$ and $b=2.55$ D. $a=15.09$ and $b=15.81$ E. $a=2.55$ and $b=2.43

[Jawaban] What is the value of $x$ in the equation $\frac{1}{3} x-\frac{2}{3}=-18$?

[Jawaban] How many handshakes are there when 15 people shake hands with each other?

[Jawaban] If a fencing material costs ₱250 per meter, what will be the cost of fencing a triangular lot as shown? Perimeter = 3s Perimeter = 3 x 50 m = 150 m The perimeter of the lot is ____ m. Cost of fencing = ____ x ₱250 = ____ The total cost of fencing is ₱37,500.