The following statement is false. r: All humans are taller than seven feet. Use the representation of \( r \) to express the symbolic statement \( \sim r \) in words. Verbal statements should begin with "all," "some," or "no." What can you conclude about the resulting verbal statement? Choose the statement below that expresses the symbolic statement \( \sim r \) in words.

Find the slope and \( y \)-intercept of the line. \( -6 x+y=-10 \)

A planet of mass \( 8 \times 10^{24} \mathrm{~kg} \) is at location \( <-4 \times 10^{11}, 8 \times 10^{11}, 0>\mathrm{m} \). A star of mass \( 9 \times 10^{30} \mathrm{~kg} \) is at location \( <7 \times 10^{11} \), \( -5 \times 10^{11}, 0>\mathrm{m} \). What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.) \( \vec{F}_{\text {on planet }}=\left(-1.07 \cdot 10^{20}, 1.27 \cdot 10^{20}, 0\right) \quad \mathrm{N} \)

The sum of \( x^{-1} \) and \( y^{-1} \) in the most simplified form is \( \begin{array}{ll}\text { A. } \frac{1}{x y} & \text { B. } \frac{x y+1}{x y} \\ \text { C. } \frac{y+x}{x y} & \text { D. } \frac{x y-1}{x y}\end{array} \)

El polinomio \( p(x)=2 x^{3}+17 x^{2}+41 x+30 \) tiene un factor conocido \( (x+5) \) Vuelve a escribir \( p(x) \) como un producto de factores lineales. \( p(x)=\square \)

\( 9-7^{2}=\square \) (Type an integer or a fraction.)