Exprimer les propositions suivantes à l'aide des quantificateurs et connecteurs logiques puis indiquer la valeur de vérité de chacun d'elles : \( P_{1}: \) il existe au moins un nombre rationnel dont le carré vaut 2 » \( P_{2}: \) Le carré de tout réel est positif» \( P_{3}: \) 《'équation \( x^{2}-2 x-3=0 \) admet au moins une solution réelle »

In tu cuaderno, factoriza las siguientes su 5. \( 128 m^{7} n^{7}-2187 m^{7} n^{7} \)

\( f(x)=\left\{\begin{array}{ll}\frac{x^{2}-x-12}{x^{2}-3 x-4} & \text { for } x \neq 4 \\ k & \text { for } x=4\end{array}\right. \)

Use the compound interest formula to compute the balance in the following account after the stated period assuming interest is compounded annually. \( \$ 9000 \) invested at an APR of \( 2.4 \% \) for 12 years. The balance in the account after 12 years is \( \$ \) (Round to the nearest cent as needed.)

\( 0,0009=a \times 10^{-5} \) ve \( 0,00003=3 \times 10^{b} \) ise. \( -b \times 10^{a} \) tac bosamaclidir?

Each year, a group surveys 50,000 households to study internet usage. In one area of the study, the group is interested in finding out how many hours a day the household spends streaming video from the internet. Describe the five basic steps in a statistical study with an example of their application below. Describe the second step in this statistical study. Choose the correct answer below. A. Choose a representative sample from the population. In this case, it would be choosing a sample of 50,000 households. B. Start collecting data. In this case, we randomly call phone numbers and ask them about their internet habits. C. Redefine the goal of your study. In this case, we also want to discover how many hours per day a household spends checking email. D. Choose a representative sample from the population. In this case, it would be choosing a small sample from the 50,000 households.