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Questions in mathematics

[Answered] What is the absolute value of [tex]$|-287|$[/tex]?

[Answered] $\frac{x}{t}+\frac{t}{x}=\frac{17}{4}, x^2-4 x t+t^2=1$

[Answered] The vertex of this parabola is at $(-5,4)$. Which of the following could be its equation? A. $y=-(x-5)^2-4$ B. $y=-(x+5)^2+4$ C. $y=-(x-5)^2+4$ D. $y=-(x+5)^2-4

[Answered] Which statement correctly describes dependent events? A. Two events are dependent if they have no outcomes in common and cannot occur at the same time. B. Two events are dependent if they have outcomes in common and can occur at the same time. C. Two events are dependent if the outcome of the first event does not affect the outcome of the second event. D. Two events are dependent if the outcome of the first event affects the outcome of the second event.

[Answered] Which expression is equivalent to $24^{\frac{1}{3}}$ ? A. $2 \sqrt{3}$ B. $2 \sqrt[3]{3}$ C. $2 \sqrt{6}$ D. $2 \sqrt[3]{6}$

[Answered] Consider the functions: [tex] \begin{array}{l} f(x)=\sqrt{x} \ g(x)=\sqrt{x-3}+1 \ h(x)=\sqrt{x+1}-2 \end{array} [/tex] Which statement compares the relative locations of the minimums of the functions? A. The minimums of [tex]g(x)[/tex] and [tex]h(x)[/tex] are both in the first quadrant. B. The minimums of [tex]g(x)[/tex] and [tex]h(x)[/tex] are both in the third quadrant. C. The minimum of [tex]h(x)[/tex] is farther right and up from the minimums of [tex]f(x)[/tex] and [tex]g(x)[/tex]. D. The minimum of [tex]h(x)[/tex] is farther left and down from the minimums of [tex]f(x)[/tex] and [tex]g(x)[/tex].

[Answered] What is the quotient of $(x^3+3 x^2-4 x-12) \div (x^2+5 x+6)$?

[Answered] Simplify the complex fraction. [tex]$\frac{\frac{h}{n}+\frac{n}{h}}{\frac{h}{n}-\frac{n}{h}}$[/tex]

[Answered] Evaluate the following. $\begin{array}{r} -10 \div 5= \\ -4 \times(-6)= \end{array}$

[Answered] Find the exact value of [tex]$\operatorname { s i n } 1^{\circ}+ \operatorname { s i n } 2^{\circ}+ \operatorname { s i n } 3^{\circ}+\cdots+ \operatorname { s i n } 358^{\circ}+ \operatorname { s i n } 359^{\circ}$[/tex].