At Rydell High School the senior class is represented on six school committees by Annemarie (A), Gary (G), Jill (J), Kenneth (K), Michael (M), Norma (N), Paul (P), and Rosemary (R). The senior members of these committees are {A, G, J, P}, {G, J, K, R},{A, M, N, P}, {A, G, M, N, P}, (A, G, K, N, R}, and {G, K, N, R}. (a) The student government calls a meeting that requires the presence of exactly one senior member from each committee. Find a selection that maximizes the number of seniors involved. (b) Before the meeting, the finances of each committee are to be reviewed by a senior who is not on that committee. Can this be accomplished so that six different seniors are involved in this review process? If so, how?

Each of the lettered choices below refers to the following numbered statements. Select the best lettered choice. A choice may be used once, more than once, or not at all. (A) Ovary (B)Follicle (C) Hypothalamus (D) Epididymis (E) Cervix. 4. Cluster of cells surrounding an egg that prepares it for release into the human female reproductive tract.

How many 13-card bridge hands include the ace, king, and queen of spades?

Several years have gone by since Harry and Belinda graduated from college and started their working careers. They both earn good salaries. They believe that they are paying too much in federal income taxes. The Johnsons' total income last year included Harry's salary of $63,000, Belinda's reportable income of$81,000 after subtracting her 401(k) deposits, $300 interest on savings and checking, and$3000 interest income from the trust that is taxed in the same way as interest income from checking and savings accounts. Harry deposits $3,000 per year into a traditional IRA. (a) What is the Johnsons' reportable gross income on their joint tax return? (b) What is their adjusted gross income? (c) What is the total value of their exemptions? (d) How much is the standard deduction for the Johnsons? (e) The Johnsons are buying a home that has monthly mortgage payments of$3,000, or $36,000 a year. Of this amount, about$32,800 goes for interest and real estate property taxes. The couple has an additional $14,000 in itemized deductions. Using these numbers, calculate their taxable income and tax liability. (f) Assuming they had a combined$18,000 in federal income taxes withheld, how much of a refund will the Johnsons receive? (g) What is their marginal tax rate? (h) Based on gross income, what is their average tax rate? (i) List three additional ways that the Johnsons might reduce their tax liability next year.

In the course of developing his model, Bohr arrived at the following formula for the radius of the electron's orbit: $r _ { n } = n ^ { 2 } h ^ { 2 } \epsilon _ { 0 } / \pi m _ { e } e ^ { 2 },$ whereme is the electron mass, e is its charge, and $\epsilon 0$ is a constant related to charge attraction in a vacuum. Given that me $= 9.109 \times 10 ?$ 31 kg, e = $1.602 \times 10 ? 19 \mathrm { C } , \text { and } \epsilon 0 = 8.854 \times 10 ? 12 \mathrm { C } 2 / \mathrm { J } - \mathrm { m }$ calculate the following:

The radius of the 1 st ( n = 1 ) orbit in the H atom,

determine whether the given integral converges or diverges..∫∞0te−td

What type of function is the gradient function $f^{\prime}(x)$?

Plot the graph the function on the window $[-2,2]$ by $[-4,4]$ without using your calculator. After you have answered use a graphing calculator to check your answers.

$$y=\left(\frac{1}{3}\right)^{1-x}$$

Plot a graph of the function. $z = f ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } }$

For the examples below, explain whether a physical or a chemical change has occurred. Justify your answer. a. When you mix baking soda and vinegar, carbon dioxide is released. b. You build a tall sand castle at the beach. After a wave washes over it, the sand castle turns into a big pile of sand. c. Boiling water turns a raw egg into a hardboiled egg. d. Max divided cookie dough into small piles on a cookie sheet. e. A loaf of freshly-baked bread tastes better and looks much different than a lump of bread dough. f. A glass of water is left in the sun. In time, the water evaporates leaving the glass empty.

What is the heat capacity $(C_v)$ of the calorimeter?
(a) 5.15 kJ/°C (b) 5.08 kJ/°C (c) 5.12 kJ/°C (d) 4.97 kJ/°C

Determine the coefficient and the degree of each term in each polynomial:

$$2a^5 + a^2 + 8a + 10$$

Give an example of a molecule or ion having a formula of each of the following types and structures. (a) AB3 (planar), (b) AB3 (pyramidal), (c) AB^-2 (bent), (d) AB^2- 3 (planar)

Use a word from the list to complete each analogy, creating a second word pair that matches the relationship between the first two given words. fester, barren, paradoxical, abash. empty : full :: _____ : fruitful