Practice Problem B UILD The volume of a bubble that starts at the bottom of a lake at \( 4.55^{\circ} \mathrm{C} \) increases by a factor of 10 as it rises to the surface where the temperature is \( 18.45^{\circ} \mathrm{C} \) and the air pressure is 0.965 atm . Assuming that the density of the lake water is \( 1.00 \mathrm{~g} / \mathrm{cm}^{3} \), determine the depth of the lake. (Hint: You will need to use Equation 10.1.) V

\( \leftarrow \quad \) Solve.

A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of \( \$ 10 \) for each unit sold and model B earns a profit of \( \$ 8 \) for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? Note that the ALEKS graphing calculator can be used to make computations easier. Model \( \mathrm{A}: \) unit(s)

When released during radioactive decay, the product's mass number would have changed by 4 and the atomic number by 2 . Alpha Beta Gamma

Use the even-odd identities to write the following expression as a trigonometric function of a positive number. \( \cot (-4.36) \) \( \cot (-4.36)=\square \) (Use integers or decimals for any numbers in the expression.)

Identify the numerical coefficient of the term. \( \frac{2 a}{7} \)