Your friend is comparing two 6-sided cubic storage bins. The yellow bin has a surface area of 9600 square centimeters and costs $25. The blue bin has a surface area of 7350 square centimeters and costs$20. a. Find the edge length of each bin. b. Which bin costs less per cubic centimeter? Explain your reasoning.

List the symmetry operations and the corresponding symmetry elements that occur in point groups.

Using a graphic organizer, explain the advantages and disadvantages of each type of psychotherapy with respect to Individual and

A farsighted man has a near point of 40 cm. What power lens should he use as a magnifier to see clearly at a distance of 10 cm without wearing his glasses?

Choose the letter of the best answer. Which body systems are involved in the maintenance of homeostasis? A. all organ systems B. nervous and endocrine systems only C. nervous, endocrine, and respiratory systems only D. nervous, endocrine, excretory, and respiratory systems only

How many different vertical arrangements are there of 10 flags if 4 are white, 3 are blue, 2 are green, and 1 is red?

Solve each system. Use any method you wish.

$$\left\{\begin{array}{c}{\frac{5}{x^{2}}-\frac{2}{y^{2}}+3=0} \\ {\frac{3}{x^{2}}+\frac{1}{y^{2}}=7}\end{array}\right.$$

A restaurant serves a small pizza that has a radius of 6 in. The restaurant’s large pizza has a radius that is twice the radius of the small pizza. How much larger is the area of the large pizza? Round to the nearest hundredth of a square inch. Is the area of the large pizza more or less than twice the area of the small pizza?

Determine whether the integral converges or diverges. Find the value of the integral if it converges. $\int_{0}^{1} \frac{2}{\sqrt{1-x^{2}}} d x$

An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns southwest and crawls 4.0 mm. What is the magnitude of the ant’s displacement?

At what point in the story does the plot change from realistic to fantastic? Explain.

rewrite the logarithm as a ratio of common logarithms log1/5 x

Phosphorus and sulfur form a series of binary compounds. The best characterized are $P_4S_3, P_4S_7$, and $P_4S_{10},$ all of which melt congruently. Assuming that only these three binary compounds of the two elements exist, (a) draw schematically only the P/S phase diagram. Label each region of the diagram with the substance that exists in that region and indicate its phase. Label the horizontal axis as $x_S$ and give the numerical values of $x_S$ that correspond to the compounds. The melting point of pure phosphorus is $44 ^ { \circ } \mathrm { C }$ and that of pure sulfur is $119 ^ { \circ } \mathrm { C }$. (b) Draw, schematically, the cooling curve for a mixture of composition $x_S = 0.28$. Assume that a eutectic occurs at $x_S = 0.2$ and negligible solid–solid solubility.

Use the following matrices to evaluate the given expression.

$$A=\left[\begin{array}{llr}{0} & {3} & {-5} \\ {1} & {2} & {6}\end{array}\right]$$

$$B=\left[\begin{array}{rrr}{4} & {1} & {0} \\ {-2} & {3} & {-2}\end{array}\right]$$

$$C=\left[\begin{array}{rl}{4} & {1} \\ {6} & {2} \\ {-2} & {3}\end{array}\right]$$

2A + 4B