Refer to the accompanying graph to answer the next eight questions. The socially optimal price and quantity would be ________.

Find the domain of   y=log2+4xShow the steps on paper for how you determined the domain. Enter your answer in Bb using the Math Editor.

Rewrite the following in logarithmic form: a. 84=4096b. 103=xc. ex=1

Solve the given equation of x. Show all steps on paper to receive credit.  62x-6=36Round to 4 decimal places. Enter your answer in Bb using the Math Editor.

Rewrite the following in exponential form.a. log8164=-2b. log65=xc. ln(x)=-2

When Melanie went to a mall to buy a birthday gift for her brother, she ended up buying a new pair of designer shades for herself. She had no intention of buying them as she already owns a few pairs of shades. However, she could not resist herself as they were on sale.

Theo is looking for nations which are similar to his, in terms of core societal values. He uses the squared differences method to compute statistical variation. Theo is using the _____ approach.

Henry considered two criteria when he selected his laptop: efficiency of the CPU and the capacity of the hard drive. These features represent the _____.

Stan is a member of the Association for Consumer Research, and when he attends its conferences, he does not identify with the group. Even though his research is received favorably, he often feels detached and perceives himself as different from the other members. In this case, Stan has a(n) ________ with respect to this group.

A researcher studied the weight (in kg) of a sample of 25 elderly individuals in a city. The population of weight is known to be normally distributed. The data are listed below: 73  81 77 65 88 92 78 84 90 71 69 83 75 95 86 72 68 88 91 77 85 79 94 76 82 Construct a 90% confidence interval for the population mean, population variance is unknown. TI-84 online