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For the functions $f(x)=6-x^2$ and $g(x)=x^2+2x-80$, find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function. $(f+g)(x)=2x-74$ (Simplify your answer.) What is the domain of $f+g$? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain of $f+g$ is {}. (Use a comma to separate answers as needed.) B. The domain of $f+g$ is $(-\infty, \infty)$. (Type your answer in interval notation.) C. The domain of $f+g$ is $\emptyset$. $(f-g)(x)=$ (Simplify your answer.)

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An individual with the prototypical anatomy and natural estrogen levels within typical ranges is considered _____. a developing person an elderly individual a biological male a biological female a fetus

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Sal's satellite company broadcasts TV to subscribers in Los Angeles and New York. The demand functions for each of these two groups are: Upper Q Subscript NY Baseline equals 60 minus 0.25 Upper P Subscript NYQNY=60−0.25PNY Upper Q Subscript LA Baseline equals 100 minus 0.5 Upper P Subscript LAQLA=100−0.5PLA where Q is in thousands of subscriptions per year and P is the subscription price per year. The cost of providing Q units of service is given by Upper C equals 1000 plus 40 Upper QC=1000+40Q where Q = Q Subscript NY + Q Subscript LA. Part 2 a. What are the profit-maximizing prices and quantities for the New York and Los Angeles markets? (round all answers to two decimal places) In New York, the equilibrium quantity is 25.0025.00 subscribers at an equilibrium price of $140.00140.00. While in Los Angeles, the equilibrium quantity is 40.0040.00 subscribers at an equilibrium price of $120.00120.00. Part 3 b. As a consequence of a new satellite that the Pentagon recently deployed, people in Los Angeles receive Sal's New York broadcasts and people in New York receive Sal's Los Angeles broadcasts. As a result, anyone in New York or Los Angeles can receive Sal's broadcasts by subscribing in either city. Thus Sal can charge only a single price. What price should he charge, and what quantities will he sell in New York and Los Angeles? The equilibrium price would be $enter your response here, and Sal would have enter your response here subscribers in New York and enter your response here subscribers in Los Angeles.

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"How does the concept of molecular symmetry contribute to the understanding of chemical reactions and physical properties of compounds?" This question invites exploration into symmetry elements like planes, axes, and inversion centers, and their influence on molecular behavior, reactivity, and properties such as polarity, phase transitions, and spectroscopic characteristics.

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A hiking trail down the side of Mt. Ellie drops a vertical distance of 70 meters over a horizontal distance of 500 meters. What is the slope of the trail? Express your answer as a reduced fraction. The slope is

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Question 2 Consider the language represented by the regular expression \Lambda + bb* + ccc* Is \Lambda in this language? Yes No

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You may need to use the appropriate technology to answer this question. Develop the analysis of variance computations for the following completely randomized design. At $\alpha = 0.05$, is there a significant difference between the treatment means? Treatment A B C 136 107 91 119 113 82 114 126 86 107 105 102 130 108 90 113 110 116 130 98 110 111 114 120 103 99 86 94 $\sum_{i} x_i$ 120 107 99 $\sum_{i} x_i^2$ 113.14 110.89 165.33 State the null and alternative hypotheses. $H_0$: Not all the population means are equal. $H_a$: $\mu_A = \mu_B = \mu_C$ $H_0$: $\mu_A = \mu_B = \mu_C$ $H_a$: $\mu_A \ne \mu_B \ne \mu_C$ $H_0$: $\mu_A = \mu_B = \mu_C$ $H_a$: Not all the population means are equal. $H_0$: $\mu_A = \mu_B = \mu_C$ $H_a$: $\mu_A \ne \mu_B \ne \mu_C$ $H_0$: At least two of the population means are equal. $H_a$: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =

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Which of the following statements about the Fed's dual mandate is correct? Multiple Choice The Fed gives more weight to the full-employment target than the inflation target because very bit of cyclical unemployment represents personal misery for those left unemployed. The full-employment target is weighted more than the inflation target because the Fed does not wish to adversely affect the income tax revenues collected by the U.S. Treasury. The inflation rate target is weighted more than the full-employment target because of the many price-sensitive retired consumers in the country The inflation rate target is weighted more than the full-employment target because of how quickly inflation can get out of hand compared to unemployment which changes slowly.

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If the firm has a target debt-equity ratio of .77. Its WACC is 10.64% and the tax rate is 21%. What is the cost of equity if the cost of debt is 8.2%? 15.23% 14.40% 13.85% 14.88%

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Uwpoeq nuoo jo npo pue p u g wo uu c sos eonpod poospoo ssd uooo benzoate by adding NaOH. Estimate the pH of the mixture at the beginning. Midland manufacture of 10M stock solutions of benzoic acid to 10M stock solutions of sodium and the pH vs f titration curve sufficiently to cover the entire pH range to answer this end of the transition? The pKa = 4.2. Draw the pC-pH diagram labeling all constituents question. 30 points total) 2. Complete the water quality calculations for the following water samples: 20 points total) 7.2 a. C = 2.1 mM and pH = ?. Calculate the alkalinity in mg/L as CaCO3 b. Alkalinity = 157 mg/L as CaCO3. Calculate C in moles/L (M). 3. A lake in the US has the following average water quality conditions: pH = 8.5. Alk = 27 mg/L, and [SO4] = 22 mg/L. 20 points total) a. Estimate the average C in mM b. Do charges balance? Include all ions that you would expect in the lake. 4. Using the formation constants below, calculate the concentrations of the hydrox complexes of copper in water at pH 6.0 with total soluble copper equal to 1 x 10^-9 M. Assume that no solids form. The relevant equilibria are: 30 points total) K = 10^3 Cu2+ + OH- = CuOH* Cu2+ + 2OH- = Cu(OH)2 K = 10^12.8 K = 10^14.5 Cu2+ + 3OH- = Cu(OH)3 K = 10^16.4 Cu2+ + 4OH- = Cu(OH)4 Ks = 10^-17.7 2Cu2+ + 2OH- = Cu2(OH)2 Kw = 10^-14 HO = H+ + OH- HINT: Use [Cu] = 9.80x10^-10 M

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samuel c.