5. Sipho has 2000 ml of shampoo. If he uses a quarter litre of shampoo to wash his dog, how much is left over? 6. From 1 litre of cool drink you can fill \( 4 \frac{1}{2} \) glasses.

\( A=\left(\begin{array}{ccc}2 & -4 & 1 \\ 1 & p & 0 \\ 0 & 0 & 1\end{array}\right) \). El conjunto de valores de \( p \) para los cuales \( A^{2}-2 A \) no es inversible \( \square\{-2\} \quad \square \mathbb{R} \)

Describe the long run behavior or end behavior of \( f(t)=2\left(\frac{1}{4}\right)^{t}-2 \) As \( t \rightarrow-\infty, f(t) \rightarrow ? \) ? As \( t \rightarrow \infty, f(t) \rightarrow ? \) ?

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64 . If a random sample of 46 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.5 millimeters? Round your answer to four decimal places.

Solve the system of equations by the addition method. \[ \begin{array}{r}6 x+y=-2 \\ 5 x-2 y=-98\end{array} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is \( \square \). (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions; \( \{(x, y) \mid 6 x+y=-2\} \) or \( \{(x, y) \mid 5 x-2 y=-98\} \). C. There is no solution; \( \left\{\begin{aligned} 6 & \text { or } \varnothing \text {. }\end{aligned}\right. \)

¿Cuánto calor absorben 600 g de aluminio cuando se eleva la temperatura de 20 a \( 100^{\circ} \mathrm{C} \) (c \( =900 \) \( \left.\mathrm{~J} /\left(\mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\right)\right)^{\text {. }} \)