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Optimization problem:A manufacturer determines that x employees on a certain production line will produce y units per month where . To obtain the maximum monthly production, how many employees should be assigned to the production line?**It is NOT sufficient to find an answer that you think is a max or a min without testing for relative extrema. You MUST test relative extrema at all times by using either the first or second derivative test even if you only have one critical value/point.

Cal problem! given production P(x)=75x^2-0.2x^4 To find relative extrema, we need to find P'(x) and solve for P'(x)=0. P'(x)=150x-0.8x^3    [by the power rule] Setting P'(x)=0 and solve for extrema.150x-0.8x^3=0  =>x(150-0.8x^2)=0 =>0.8x(187.5-x^2)=00.8x(5sqrt(15/2)-x)(5sqrt(15/2)+x)=0=>x={0,+5sqrt(15/2), -5sqrt(15/2)}   by the zero product rule.[note: eqation P'(x)=0 can also be solved by the quadratic formula] Reject negative …

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What conclusion does the map most clearly support? A.Geographic elements protected ancient Greece from invasion and conquest by foreign peoples. B.Geographic elements made Greek city-states dependent on trade to obtain sufficient food resources C.Geographic elements encouraged the development of independent city-states. D.Geographic elements promoted the spread of Greek culture throughout the Mediterranean region

The Reformation actually started after Columbus’s landing in North America.  Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. …

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The daily profit p in dollars of a company making tables is described by the function upper p left parenthesis x right parenthesis equals negative 5 x squared plus 240 x minus 2475 p(x)=?5 x 2+240x?2475?, where x is the number of tables that are manufactured in 1 day. the maximum profit of the company occurs at the vertex of the parabola. how many tables should be made per day in order to obtain the maximum profit for the? company

The following equation of parabola is given: p(x)= – 5 x^2 + 240 x – 2475 where p(x) = y This is a standard form of the parabola. We need to convert this into vertex form of equation. The equation must be in the form: y – k = a (x …

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Write the event as set of outcomes. We flip three coins and obtain more tails than heads.

The bag holds5 pennies10 nickels4 dimesFor a total of 5+10+4 = 19 coins —————————————————— For the first selection, the probability of a nickel is 10/19 because there are 10 nickels out of 19 total coins. After that first selection is made, I’m assuming the nickel is NOT put back. In …

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What did William E.B. DuBois encourage African Americans to do? A) use violence and force to achieve higher goals B) not attend school and start their own businesses C) attend a trade school and get a job D) obtain a higher education and become politically active I know it’s probably C or D if that helps.

Roman engineers built bridges and roads, which allows for more quicker travel from one part of the empire to another. They also built forts and walled cities in many places, and filled them with supplies, so that if there was a revolt, the Romans there (if they are outnumbered) are …

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How many grams of iki would it take to obtain a 100 ml solution of 0.300 m iki? how many grams of iki would it take to create a 100 ml solution of 0.600 m iki?

This problem is to apply Roult’s Law. Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv p = Xsolv * Po sol X solv …

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If you purchase or obtain a vehicle from someone else, you are responsible for transferring ownership of the vehicle to your name with the dmv within how many days of the purchase?

If you purchase or obtain a vehicle from someone else, you are responsible for transferring ownership of the vehicle to your name with the dmv within how many days of the purchase?

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If the inflation rate increases faster than their income, people will most likely: A. use a higher proportion of their incomes on basic needs B. spend a lower proportion of their incomes on basic needs C. get more goods and services for less money D. obtain less goods and services for less money

Answer: 29.68% Step-by-step explanation: Allen’s monthly take-home pay is $3000 His monthly rent is $750 Now both his monthly take-home pay and his rent increase by $200 So, After increase Allen’s monthly take-home pay =$3000+$200= $3200 After increase His monthly rent = $750+200=$950 Now we are supposed to find what …

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Which numbers should be multiplied to obtain 165^2 − 123^2? a. 42 and 42 b. 42 and 288 c. 1,764 and 1,764 d. 4,202 and 4,248

Answer: Option C – BD=76 cm Step-by-step explanation: Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm. To find : How long BD should it be? Solution : First we draw a rough diagram. The …

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If the flowers contain 50,000 kcal of energy, about how much energy will the lizard obtain from eating the butterfly?

Answer: when moving to a lower orbit Explanation: In Bohr’s model of the atom, electrons orbit around the nucleus in some atomic shells. Each shell is characterized by a different fixed energy: the shell closest to the nucleus has the lowest energy, and the farther the shell from the nucleus, …

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An e-learning company prepares online exams for students. It wants to test a new type of question on its target audience and needs to ensure that the students will not skip the new question. Based on the responses, the company will determine whether the new question type is appropriate. Which method should the company use to obtain accurate data for its study?

Answer: Part 1: The building is 16 ft high where the ladder reach. Part 2: Option A is correct. Step-by-step explanation: Given that a painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. we have to find the height of …

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A chicken farm orders bags of feed from two farmers. Store X charges $20 per bag, and store Y charges $15 per bag. The farm must obtain at least 60 bags per week to care for the chickens properly. Store Y can provide a maximum of 40 bags per week, and the farm has committed to buy at least as many bags from store X as from store Y. The chicken farm wants to minimize the cost of ordering feed. Let x represent the number of bags of feed from store X and y represent the number of bags of feed from store Y. What are the constraints for the problem?

Answer: Graph of lines y equals 2 x plus 3 and y equals minus x plus 6. Lines intersect at ordered pair (1, 5) Step-by-step explanation: Here x represents the miles walked by Jacob and y represents the miles for which Jacob cycled. Thus, the total distance covered by Jacob …

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Which type of health insurance provider generally does not allow patients to obtain services outside its preferred network of doctors and specialists? (A) traditional (B) preferred provider organization (PPO) (C) point of service plan (POS) (D) health maintenance organization (HMO)

Pesticides can influence your organic products on the off chance that you disregard to wash before expending, and can make you amazingly sick. Manure, If the creature utilized for meat was not appropriately washed before being bundled, you will get the compost germs. Human hair, If the hair of a …

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Which country did the United States NOT obtain under the Treaty of Paris, following the Spanish American War? A) Guam B) Cuba C) Puerto Rico D) Philippines

Which country did the United States NOT obtain under the Treaty of Paris, following the Spanish American War? A) Guam B) Cuba C) Puerto Rico D) Philippines

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