A game is played using one die. If the die is rolled and shows 3, the player wins \( \$ 5 \). If the die shows any number other than 3 , the player wins nothing. Complete parts (a) through (b) below. a. If there is a charge of \( \$ 1 \) to play the game, what is the game's expected value? \( \$ \square \) (Round to the nearest cent.)

The maximum force exerted onto a child sitting at rest is 52.4 N due to static friction. The coefficient of static friction is 0.146 . What is the mass of the child?

In un rettangolo l'altezza è \( \frac{7}{8} \) della base. Sapendo che il perimetro è 150 dm , determina l'area.

8. Rechne aus. Du kannst Stellenwertkarten oder eine Stellenwerttabelle benutzen. \( \begin{aligned} \text { a } 0.368+1= & \text { b } 4.9+0.3= \\ 0.368+0.1= & 4.9+0.03= \\ 0.368+0.01= & 4.9+0.001= \\ 0.368+0.001= & 4.9+1= \\ \text { c } 1.864-0.1= & \text { d } 4.325-0.2= \\ 1.864-0.01= & 4.325-0.02= \\ 1.864-1= & 4.325-0.003= \\ 1.864-0.001= & 4.325-3=\end{aligned} \)

Crecimiento de población. Una población de 500 bacterias se introduce en un cultivo y aumenta de número de acuerdo con la ecuación. (Vea la ecuación de abajo), donde se mide en horas. Hallar el ritmo de cambio al que está creciendo la población cuando \( \mathrm{t}=2 \). (2 puntos) * \[ P(t)=500\left(1+\frac{4 t}{50+t^{2}}\right) \text {. } \] 574 bacteriaporhora 300 bacteriaporhora

1.1 Given: \( f(x)=x^{2}-5 x-6 \) Solve for \( x \) if: 1.1.1 \( \quad f(x)=0 \) \( 1.1 .2 \quad f(x) \leq 0 \)