67. Un accionista compró arciones a \( \$ 180 \), cada una y al dia siguiente el precio bajo \( \$ 5 \). En los dos dias posteriores subieron \( \$ 8 \), bajaron \( \$ 12 \) y volvieron a subir \( \$ 15 \). En ese mornento el accionista vendió sus acciones. ¿El precio de venta de cada acción fue? a. 178 (i) 180

Cuál es la velocidad del sonido en el aire a una temperatura de \( 20^{\circ} \) y \( 68^{\circ} \)

Determinar la integral triple en coordenadas esféricas \( \int_{-2}^{2} \int_{-\sqrt{4-x^{2}}}^{\sqrt{4-x^{2}}} \int_{\sqrt{x^{2}+y^{2}}}^{2}\left(x^{2}+y^{2}\right) d z d y d z \) a. \( \pi / 5 \) b. \( 16 \pi / 5 \) c. \( 16 / 5 \) d. \( 74 \pi / 3 \)

Factor the polynomial completely. If the polynomial is not factorable, select prime. \[ \begin{array}{l}a^{2} b^{2}-81 \\ (a b+9)(a b-9) \\ (a b-9)^{2} \\ \text { Oprime } \\ (9 a b+1)(9 a b-1) \\ (a b+9)^{2}\end{array} \]

What are the effects of low-fat food labels on food consumption? Do people eat more of a snack food when the food is labeled as low-fat? The answer may depend both on whether the snack food is labeled low-fat and whether the label includes serving-size information. An experiment investigated this question using university staff, graduate students, and undergraduate students at a large university as subjects. Subjects were asked to evaluate a pilot episode for an upcoming TV show in a theater on campus and were given a cold bottle of water and a bag of granola from a respected campus restaurant called The Spice Box. They were told to enjoy as much or as little of the granola as they wanted. Depending on the condition randomly assigned to the subjects, the granola was labeled as either "Regular Rocky Mountain Granola" or "Low-Fat Rocky Mountain Granola." Below this, the label indicated "Contains Serving" or "Contains Servings," or it provided no serving-size information. Twenty subjects were assigned to each treatment, and their granola bags were weighed at the end of the session to determine how much granola was eaten. What are the factors? a. The factor is the weight of the granola bag at the end of the session. o b.The factors are type of granola and serving size label. c. The factors are the six potential combinations of the two treatments. d. The factors are the weight of the granola bag at the end of the session.

EXERCICE 09 On pose \( A=41 \times 2^{n}+2^{n+2} \) et \( B=60 \) tel que \( n \in N \) 1) Donner une décomposition en produit de facteurs premiers pour le nombre \( B \). 2) Quel est le plus petit entier naturel \( m \) pour que \( m B \) soit un carré parfait.