State whether the following function is increasing, decreasing, or neither:

Height above Earth's sea level as a function of atmospheric pressure (assumed nonzero)

The deepest point in the ocean is 11 km below sea level, deeper than MT. Everest is tall. What is the pressure in atmospheres at this depth?

State the type of measurement in each of the following statements: My dog weighs $12$ kg.

Simplify the given exercise below:

$$\sum_{k=0}^{10}(-1)^k\left(\begin{array}{c} 10 \\ k \end{array}\right)(\log x)^{10-k}(\log y)^k .$$

Use the Root Test to determine whether each series converges or diverges or state it provides no information. $\sum_{k=2}^{\infty}(-1)^{k} \frac{k \ln k}{e^{k}}$

How do aging-related changes in the cardiovascular system affect the kidneys?

Show by induction that for each positive integer $k$,

$$1^2+2^2+3^2+\cdots+k^2=\frac{1}{6} k(k+1)(2 k+1).$$

Sound travels slower in colder air. Why does the speed of sound depend on air temperature?

When do the first signs of physiological aging appear in most individuals? ____________

What is the first step in determining whether a table shows a linear, quadratic, or exponential function?

Solve and check. Show each step. (3 1/3)y = 7 1/2

To recharge a $12-\mathrm{V}$ battery, a battery charger must move $3.6 \times 10^5 \mathrm{C}$ of charge from the negative terminal to the positive terminal. How much work is done by the charger? Express your answer in joules.

An organism that lives in the extreme conditions of a deep sea vent would most likely be considered a(n) A. archaea. B. bacterium. C. retrovirus. D. bacteriophage

Why would it be more difficult to use a reverse osmosis unit to purify water from the Dead Sea than water from the ocean?