How do animals adapt to the tropical rainforest biome?

Write the common name for sodium hydroxide.

Three substances, X, Y, and Z, each contain four ingredients, A, B, C, and D. The percentage of each ingredient and the cost in cents per ounce of each substance are given in the following table.

$$\begin{array}{|c|ccccc|c|} \hline \qquad \qquad \ \ & & \quad& \text{Ingredients} & \ \ & & \qquad \qquad \ \qquad \\ \hline \end{array} \\ \begin{array}{|c|cccc|c|} \hline \text{ Substance} & \text{A} & \text{B} & \text{C} & \text{D} & \text{Cost per ounce} \\ \hline X & 20 \% & 10 \% & 25 \% & 45 \% & 25 \ \cancel{\text{c}} \\ Y & 20 \% & 40 \% & 15 \% & 25 \% & 35 \ \cancel{\text{c}} \\ Z & 10 \% & 20 \% & 25 \% & 45 \% & 50 \ \cancel{\text{c}} \\ \hline \end{array}$$

If the cost is to be minimal, how many ounces of each substance should be combined to obtain a mixture of 20 ounces containing at least 14% A, 16% B, and 20% C? What combination would make the cost greatest?

(a) Methyl ethyl ether (A) and diborane, $\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{B}),$ form a compound which melts congruently at 133 K. The system exhibits two eutectics, one at 25 mol per cent B and 123 K and a second at 90 mol per cent B and 104 K. The melting points of pure A and B are 131 K and 110 K, respectively. Sketch the phase diagram for this system. Assume negligible solid-solid solubility. (b) Sketch the phase diagram of the system $\mathrm{NH}_{3} / \mathrm{N}_{2} \mathrm{H}_{4}$ given that the two substances do not form a compound with each other, that $\mathrm{NH}_{3}$ freezes at $-78^{\circ} \mathrm{C}$ and $\mathrm{N}_{2} \mathrm{H}_{6}$ freezes at $+2^{\circ} C,$ and that a eutectic is formed when the mole fraction of $\mathrm{N}_{2} \mathrm{H}_{4}$ is 0.07 and that the eutectic melts at $-80^{\circ} C.$

(a) In Gaussian units, show that the square of a potential difference $\left(\phi_{2}-\phi_{1}\right)^{2}$ has the same dimensions as force. (In SI units, $\epsilon_{0}\left(\phi_{2}-\phi_{1}\right)^{2}$ has the same units as force.) This tells us that the electrostatic forces between bodies will largely be determined, as to order of magnitude, by the potential differences involved. Dimensions will enter only in ratios, and there may be some constants like $4 \pi$. What is the order of magnitude of force you expect with 1 statvolt potential difference between something and something else? (b) Practically achievable potential differences are rather severely limited, for reasons having to do with the structure of matter. The highest man-made difference of electric potential is about $10^{7}$ volts, achieved by a Van de Graaff electrostatic generator operating under high pressure. (Billion-volt accelerators do not involve potential differences that large.) How many pounds force are you likely to find associated with a “square megavolt”? These considerationsmay suggestwhy electrostatic motors have not found much application.

A lumber company owns a forest that is of rectangular shape, $1\ \mathrm{mi} \times 2\ \mathrm{mi} .$ The company wants to cut a uniform strip of trees along the outer edges of the forest. At most, how wide can the strip be if the company wants at least $1 \frac{5}{16}\ \mathrm{mi}^{2}$ of forest to remain?

Which of the following is not a density independent factor for a population of deer in a forest? (a) a period of freezing weather (b) the number of cougars in the forest $(c)$ a drought (d) a landslide

Consider again the setting of Problem above. Now that you realize your best investment is to prepay your student loan, you decide to prepay as much as you can each month. Looking at your budget, you can afford to pay an extra $\$ 250$ per month in addition to your required monthly payments of $\$ 600$, or $\$ 850$ in total each month. How long will it take you to pay off the loan?

Arrange the following substances in order of increasing solubility in water: $\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}, \mathrm{CO}_2, \mathrm{~N}_2 \mathrm{O}$. a) $\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}<\mathrm{CO}_2<\mathrm{N}_2 \mathrm{O}$ b) $\mathrm{CO}_2<\mathrm{N}_2 \mathrm{O}<\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}$ c) $\mathrm{N}_2 \mathrm{O}<\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}<\mathrm{CO}_2$ d) $\mathrm{CO}_2 \approx \mathrm{N}_2 \mathrm{O}<\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}$ e) $\mathrm{CO}_2<\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}<\mathrm{N}_2 \mathrm{O}$

Find the greatest common factor. 30,55

A forest contains about 500 trees. You randomly pick 67 trees and find that 27 of them are oaks. b. Predict how many oak trees there are in the forest.

Which forest biome has the richest soil type?

Answer these culture questions.

What is a popular cold treat in Puerto Rico?

Are the events $A$ and $A^{\prime}$ mutually exclusive? Explain.