What conditions are required for two waves on a rope to interfere completely destructively?

Explain why you can hear two people talking even after they walk around a corner.

Prove each statement by mathematical induction.

$$n ^ { 2 } < 2 ^ { n }$$

, for all integers

$$n \geq 5$$

.

How do the segment polarity genes differ in their mode of action from the gap and pair-rule genes?

An ideal gas goes through a thermodynamic process in which 500 J of work is done on the gas and the gas loses 300 J of heat. What is the change in internal energy of the gas?

In the metric system there are two official temperature scales: degree Celsius and kelvin. The kelvin temperature scale is obtained by shifting the Celsius scale so that 0 kelvin corresponds to absolute zero, the absence of any heat whatsoever. An equation approximating the relationship between the two scales follows:
kelvin $\approx$ degree Celsius + $273^{\circ}$
a. Write an equation to find degree Celsius in terms of kelvin.
b. If the boiling point of water in Celsius is $100^{\circ}$, what is the comparable temperature in kelvin?
c. $-_{40}{\circ}$ is the point on a thermometer at which both degree Celsius and degree Fahrenheit are the same. What is this temperature in kelvin?

Write a sentence explaining its significance to U.S. foreign policy. limited war

Stearic acid $(\mathrm{C}_{18}$ ${H}_{36}$ ${O}_{2}$) is a fatty acid, a molecule with a long hydrocarbon chain and an organic acid group (COOH) at the end. It is used to make cosmetics, ointments, soaps, and candles and is found in animal tissue as part of many saturated fats. In fact, when you eal meat, you are ingesting some fats containing stearic acid.

Write a balanced equation for the combustion of stearic acid to gaseous products.

Write an equation for a graph obtained by vertically stretching the graph of $y=x^2$ by a factor of 2, followed by a vertical upward shift of 1 unit. Sketch it.

What is the energy of a Bohr hydrogen atom with a 5.18 nm diameter?

Predict the probable results to a community if all of the top predators were removed by hunting.

Suppose you wanted to study the environmental impacts of a rich versus a poor country. What factors would you examine, and how would you compare them?

Define (a) canton, (b) neutral, (c) perishable good, (d) strip mining.

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.