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MATH SOLVE
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The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. (a) What is the meaning of the derivative f '(x)? What are its units? f '(x) is the average production cost with respect to the number of ounces of gold produced. Its units are dollars per ounce. f '(x) is the rate of change of the production cost with respect to the number of ounces of gold produced. Its units are dollars per ounce. f '(x) is the total amount of gold produced. Its units are ounces. f '(x) is the total production cost. Its units are dollars. (b) What does the statement f '(500) = 18 mean? The total cost to produce 18 ounces of gold is approximately $500. After 500 ounces of gold have been produced, the average production cost is $18/ounce. So the cost of producing 500 ounces is about $18/ounce. After 18 ounces of gold have been produced, the average production cost is $500/ounce. So the cost of producing 18 ounces is about $500/ounce. After 500 ounces of gold have been produced, the rate at which the production cost is increasing is $18/ounce. So the cost of producing the 500th (or 501st) ounce is about $18. (c) Do you think the values of f '(x) will increase or decrease in the short term? What about the long term? Explain. In the short term, the values of f '(x) will because more efficient use is made of start-up costs as x increases. But eventually f '(x) might due to large-scale operations.
General
2 months ago
One number is 10 more than twice another. Their sum is 1 . Find the numbers.
General
2 months ago
Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The 342 5 / Induction and Recursion parts of this exercise outline a strong induction proof that P(n) is true for n ≥ 18. a) Show statements P(18), P(19), P(20), and P(21) are true, completing the basis step of the proof. b) What is the inductive hypothesis of the proof? c) What do you need to prove in the inductive step? d) Complete the inductive step for k ≥ 21. e) Explain why these steps show that this statement is true whenever n ≥ 18.
General
2 months ago
L.B. Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible. To determine a team score, the distances of all team members are added. The team with the greatest score wins first place. The current winning team’s final score at the shot put is 52.08 ft. Miguel’s teammates threw the shot put the following distances: 12.26 ft., 12.82 ft., and 13.75 ft. Exactly how many feet will Miguel need to throw the shot put in order to tie the current first-place score? Show your work.
General
2 months ago
Mike wants to paint his new office with two different colors. If he needs 4 4/5 gallons of red paint and 3 1/10 gallons of brown paint, how much paint does he need in total?
General
2 months ago
Carli has 4 1/2 walls left to paint in order for all the bedrooms in her house to have the same color paint. However, she has used almost all of her paint and only has 5/6 of a gallon left.How much paint can she use on each wall in order to have enough to paint the remaining walls?
General
2 months ago
Solve this please, Idk why it’s so hard for me? Thanks!!
General
2 months ago
Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to drive?
General
2 months ago
Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities.a. What fraction of his money did each charity receive?b. If he donated $60 to each charity, how much money did he receive for his birthday?
General
2 months ago
Given that B is between A and C. If AB=x, BC =2x-3, and AC = 30. Find x and bc
General
2 months ago
Dr. Smith wants to use only students with "normal" IQ in his experiment. He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15. (1 point)
General
2 months ago
Write a recursive definition for the sequence 8,6,4,2...a1 = 8; an= an-1 - 2a1 = 2: an=an–1 +6a1 = 8; an = an-1 + 2a1 = 2; an= an-1 +8Write an explicit formula for the sequence -3, 1, 5,9....an=-3 + 4(n-1)an=-3 + 4nan=-3 + (n - 1)an=-3 + 4(n + 1)
General
2 months ago
Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?Choose 1 answer:a: they have too much caramelb: they have too little caramelc: they are just right
General
2 months ago
At an auto repair shop, 14 of the 56 cars received oil changes. What percent of the car is received oil changes?
General
2 months ago
The fifth-grade teachers ordered 3 boxes of clay. They wanted to share it equally among the four classes. How much clay does each class get? What is the division number model?
General
2 months ago
A graphic charges a fee of 1600 to design a poster for a jazz festival the designer also receives 8% commission on sales of the poster at the festival what is the designers total income from this work assuming that sales of the poster bring in 620 dollars during the festival
General
2 months ago
A survey is planned to determine the mean annual family medical expenses of employees of a large company. The management of the company wishes to be 90% confident that the sample mean is correct to within plus or minus$40 of the population mean annual family medical expenses. A previous study indicates that the standard deviation is approximately $341. a. How large a sample is necessary?b. If management wants to be correct to within (plus or minus $25), how many employees need to be selected?
General
2 months ago
Weather forecasts are based on a weather forecaster's judgment on which one of a number of scenarios is likely to happen. Each scenario, in turn, is based on a prediction on what may happen in the future given conditions that almost always change in unexpected ways. Thus, it is difficult to trust weather forecasts.Which of the following statements best expresses the main conclusion of the above argument?1. Conditions almost always change in unexpected ways.2. Weather forecasts are difficult to trust3. Weather forecasts are based on a number of potential scenarios.
General
2 months ago
A survey handed out to individuals at a major shopping mall in a small Florida city in July asked the following: ■ Gender ■ Age ■ Ethnicity ■ Length of residency ■ Overall satisfaction with city services (using a scale of 1–5, ranging from poor to excellent) ■ Quality of schools (using a scale of 1–5, ranging from poor to excellent) What types of data (categorical, ordinal, interval, or ratio) do each of the survey items represent and why? Evans, James R.. Business Analytics (p. 165). Pearson Education. Kindle Edition.
General
2 months ago
Could anyone help me
General
2 months ago
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