5. A tile installer is planning how many blue and white tiles are needed to tile a floor. Each tile is 6 in . high and 4 in . wide. Every other tile will be blue. Each unit on the grid represents 1 in . The bottom left corner of the first blue tile is at \( (0,0) \). How many blue tiles will there be in a section 24 in . long and 24 in . wide? Explain.

* 2. Si "n" es un número, ¿cuál es la expresión para "el triple de un número disminuido en 4 "? a) \( 3 n+4 \) b) \( n-4 \) c) \( 3 n-4 \) d) \( 3(n-4) \)

The number of bacteria in a culture is given by the function \( n(t)=940 e^{0.25 t} \) where \( t \) is measured in hours. (a) What is the relative rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at \( t=0 \) )? Your answer is (c) How many bacteria will the culture contain at time \( \mathrm{t}=5 \) ? Your answer is

The volume of soap dispensed by a soap-dispenser on each press, \( X \mathrm{ml} \), is modelled as \( X \sim \mathrm{~N}\left(7,0.9^{2}\right) \). State the proportion of presses that dispense: a between 6.1 ml and 7.9 ml b between 5.2 ml and 8.8 ml .

Both \( x \) and \( y \) denote functions of \( t \) that are related by the equation \( x^{2}+y^{2}=6 x+8 y \). Use this equation and the given derivative to find the specified derivative. NoTE: Enter the exact answers. (a) Given that \( \frac{d x}{d t}=-6 \), find \( \frac{d y}{d t} \) when \( (x, y)=(7,3) \). \( \frac{d y}{d t}= \) (b) Given that \( \frac{d y}{d t}=15 \), find \( \frac{d x}{d t} \) when \( (x, y)=(3+\sqrt{3}, 4+\sqrt{5}) \). \( \frac{d x}{d t}= \)

\begin{tabular}{l}\( \begin{array}{l}\text { A soma dos quadrados de dois números } \\ \text { consecutivos é 41. Quais são os números? }\end{array} \) \\ \( \begin{array}{l}\text { Seja } x \text { o primeiro número } \\ x^{2}+x^{2}+1=41 \\ x(x+1)=41 \\ x^{2} \cdot(x+1)^{2}=41\end{array} \) \\ \hline\end{tabular}