Question 1 (continued) (f) Karen is making a very special dress from material that is 270 cm long. She has needs to cut this material very carefully into four pieces. The first piece needs to be 30 cm longer than the second piece and the third piece needs to be four times as long as the second piece. The fourth piece of material needs to be half as long as the third piece. How long is the first piece of material?

Problema 1: Un tubo de hierro fundido \( \left(D_{1 \text { int }}=5.25 \mathrm{~cm} ; D_{1 e x t}=6 \mathrm{~cm}\right) \), cuya superficie se encuentra oxidada, transporta vapor a \( 150^{\circ} \mathrm{C} \). El tubo está rodeado por un segundo conducto de fundición pulimentada \( \left(D_{2}=30.5 \mathrm{~cm}\right) \), a \( 24{ }^{\circ} \mathrm{C} \) y aislado externamente. Calcular las pérdidas de calor por radiación, expresadas por unidad de longitud de conducto. Datos: emisividad hierrofundido 0.64 , fundición pulimentada 0.21

Find \( (f \circ g)(x) \) and \( (g \circ f)(x) \). \[ \begin{array}{l} f(x)=-3 x^{2}-x-5 \\ g(x)=x-4 \end{array} \] Write your answer as a polynomial in simplest form. \[ \begin{array}{l} (f \circ g)(x)= \\ (g \circ f)(x)= \end{array} \]

(e) What fraction of the students selected Clubs and Societies as their CCA?

11) ¿Cuánto miden los lados de un cuadrado si su perimetro mide 40 cm ? A) 120 cm . B) 160 cm . C) 10 cm . D) 1.600 cm .

d) \( \lim _{x \rightarrow 0^{+}} \frac{1}{x \ln x} \)