How does the structure of a bone make it strong yet lightweight?

As a rule, a superficial partial-thickness burn is more painful than one involving deeper tissues. How would you explain this observation?

Everyone’s skin contains about the same number of melanocytes, even though people have many different skin colors. How is this possible?

Everyone’s skin contains about the same number of melanocytes even though people come in many different colors. How is this possible?

Set U: integers from 1 to 20, Set P: prime numbers, Set T: multiples of 3, Set F: multiples of 5. Create a Venn diagram of these sets.

The relationship between the number of species in a genus ($x$) and the number of genera ($y$) comprising $x$ species is given by $xy^a = k$, where $a$ and $k$ are constants. Find $dy/dx$.

Cancer-causing agents (carcinogens) usually act on dividing cells. Which of the four tissues would carcinogens most influence? Least influence?

In the lungs of smokers, a process called metaplasia occurs where normal lining cells of the lung are replaced by squamous metaplastic cells (many layers of squamous epithelial cells). Functionally, why is this an undesirable body reaction to tobacco smoke?

Show that the reduced Gröbner basis using the lexicographic ordering $x>y$ for the ideal $I=\left(x^{2}+x y^{2}, x^{2}-y^{3}, y^{3}-y^{2}\right)$ is $\left\{x^{2}-y^{2}, y^{3}-y^{2}, x y^{2}+y^{2}\right\}$

A helicopter flying west begins experiencing an acceleration of

$$3 m/s^2$$

east. Will the magnitude of its velocity increase or decrease? ______ .

Solve each equation or inequality. If there is no solution, write no solution.

$$4 | k + 5 | > 8$$

Many mountainous areas have road signs like this sign that refer to the percentage grade for the road. An 8% grade, for example, means that the altitude changes by 8 feet for each 100 feet of horizontal distance. Determine the percentage road grade that should be put on a road sign where the angle of elevation is $10^{\circ}$.

(a) If the rate laws are expressed with (i) concentrations in moles per cubic decimetre, (ii) pressures in kilopascals, what are the units of a second-order and of a third-order rate constant? (b) If the rate laws are expressed with (i) concentrations in molecules per cubic metre, (ii) pressures in pascals, what are the units of a second-order and of a third-order rate constant?

Suppose that an employee is offered a 6% raise plus a $500 bonus. Find the inverse of this pay increase if (a) the 6% raise comes before the bonus; (b) the 6% raise comes after the bonus.