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When to flip inequality sign?   I’ve heard to flip the sign if I…

When to flip inequality sign?   I’ve heard to flip the sign if I multiply or divide by a negative, but I came across this problem recently, and there’s no multiplying or dividing by a negative, yet the correct final answer has the sign flipped.    Original problem: 10,000<20,000(1-0.15)^t This was a no calculator, the […]

3. Evaluate the indicated function for f ( x ) = x 2 − 1 and g (…

3. Evaluate the indicated function for f(x) = x2 − 1 and g(x) = x − 8 algebraically. If possible, use a graphing utility to verify your answer. (f − g)(-8)   4. Evaluate the indicated function for f(x) = x2 − 5 and g(x) = x − 7 algebraically. If possible, use a graphing […]

A chemist has three different acid solutions. The first acid…

A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 30 % and the third contains 75 % . They want to use all three solutions to obtain a mixture of 76 liters containing 50 % acid, using 2 times as much of the 75 % solution […]

A can of soda is placed inside a cooler. As the soda cools, its…

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)=-3+21e^−0.03x   Find the initial temperature of the soda and its temperature after 15 minutes.Round […]

Watch Video…

Watch Video https://media.pearsoncmg.com/ph/streaming/careers/2013/mylegalstudieslab/Tech_in_the_Law_Office/TLO05_Filing_Documents_Court_Deadlines.html    Answer the Following Questions:   Dante signs the complaint in place of the attorney. What is wrong with this practice?    What are some potential results of this action for Dante? For his supervising attorney?    Then Dante uses his own cash to pay the filing fee because he didn’t bring […]

8. Basic Uses of the Apostrophe – Part 2 There are several special…

8. Basic Uses of the Apostrophe – Part 2 There are several special cases when you should use apostrophes:   Special Uses of the Apostrophe   Rule 1: Use an apostrophe with some expressions of time. For example, in the following sentence, moment’s displays this rule. Rule 2: Use an apostrophe to pluralize lowercase letters, words, […]

A cereal box manufacturer changes the size of the box to increase…

A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. Where n is the number of smaller boxes, are both representative of the amount of cereal that the larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?

Part One What is “Karl Polanyi’s Paradox” ( as defined in GPCC ,…

Part One What is “Karl Polanyi’s Paradox” (as defined in GPCC, not his brother “Michael Polanyi’s Paradox”), including its nature/environmental and human components? Part Two What are “market externalities,” including “positive externalities” and “negative externalities? Give two examples of positive externalities and two of negative externalities. How can externalities be not only economic and environmental […]

Word problem involving optimizing area by using a quadratic…

Word problem involving optimizing area by using a quadratic function Using a graphing calculator to solve a word problem involving a local extremum of a rational function Finding the intercepts, asymptotes, domain, and range from the graph of a rational function Finding the asymptotes of a rational function: Quadratic over linear