Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions.log M-2

Classify the following pollution-control policies as command-and-control or market incentive based. Type CC for command and control Type MB for market incentive based A state emissions tax on the quantity of carbon emitted by each firm. The federal government requires domestic auto companies to improve car emissions by 2020. The EPA sets national standards for water quality. A city sells permits to firms that allow them to emit a specified quantity of pollution. The federal government pays fishermen to preserve salmon.

Find the slope of the line that goes through the given points.(-6, -8), (2, -8)

Evaluate the function at the given value of the independent variable and simplify.f(x) = 9x + 5;f(2)

Determine the slope and the y-intercept of the graph of the equation.9x – 11y – 99 = 0

A British pound cost $2.00 in U.S. dollars in 2008, but $1.27 in U.S. dollars in 2017. Which was the ‘stronger’ currency in 2017? (type Dollar or Pound) Did the dollar appreciate or depreciate versus the pound?

Simplify in complex (standard) form:(3+i)(2-3i)

Write -32 in terms of i and simplify.

Students will be expected to attend a mandatory zoom meeting during the ___________ week of classes in each term for each course they are enrolled in.   

Scenario:You are a prosecutor reviewing a case involving an alleged burglary. The facts are as follows: A local electronics store was broken into at midnight, and several laptops were stolen. The store’s security cameras captured an individual entering through a broken window, taking items, and leaving the premises. The footage is grainy but shows a person wearing a dark hoodie and sneakers. And they said they were Nike shoes and he is wearing Nikes. A suspect, Alex Johnson, was arrested two blocks away shortly after the incident. Alex was carrying a bag with two laptops matching the description of the stolen items. Alex claims they found the laptops abandoned near a dumpster and had no idea they were stolen. Oh, and he also had drugs in his possession. Further evidence includes: Fingerprints matching Alex’s were found on the windowsill where the break-in occurred. A witness in the area reported seeing someone matching Alex’s description running away from the store around the time of the burglary. Alex has a prior conviction for petty theft. However, Alex insists on their innocence, stating they were in the area to visit a friend and stumbled upon the laptops. Question for Students:Would you prosecute Alex Johnson? Option A: Yes, prosecute Alex based on the physical evidence, eyewitness account, and prior record. Option B: No, do not prosecute Alex because the evidence does not conclusively prove intent to commit burglary. Option C: Request additional evidence before making a decision. Assignment: Choose the most appropriate option and explain why. Defend your choice, referencing the elements of a crime and the burden of proof required for prosecution. Discuss whether the evidence is sufficient to prove intent beyond a reasonable doubt and how Alex’s prior record might influence your decision.