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Andrei [34K]
2 years ago
15

What rule of inference is used in each of these argu- ments? a) Kangaroos live in Australia and are marsupials. Therefore, kanga

roos are marsupials. b) It is either hotter than 100 degrees today or the pollu- tion is dangerous. It is less than 100 degrees outside today. Therefore, the pollution is dangerous. c) Linda is an excellent swimmer. If Linda is an ex- cellent swimmer, then she can work as a lifeguard. Therefore, Linda can work as a lifeguard. d) Stevewillworkatacomputercompanythissummer. Therefore, this summer Steve will work at a computer company or he will be a beach bum. e) If I work all night on this homework, then I can an- swer all the exercises. If I answer all the exercises, I will understand the material. Therefore, if I work all night on this homework, then I will understand the material.
Social Studies
1 answer:
kifflom [539]2 years ago
3 0

Answer:

A.   Simplification

B.   Disjunctive Syllogism

C.  Modus Ponens

D.  Addition

E.  Hypothetical Syllogism

Explanation:

(a) Given that k = the proposition “Kangaroos live in Australia.”

m = the proposition “Kangaroos are marsupials.”

Hence, k ∧ m→ k = Simplification

(b) Given that k = the proposition ”Hotter than 100 degrees today.”

m = the proposition ”Pollution is dangerous.”

Hence (k ∨ m) ∧ ¬k → m = Disjunctive syllogism

(c) Given that k be the proposition ”Linda is an excellent swimmer.”

m = the proposition ”Can work as a lifeguard.”

Hence, k ∧ (k → m) → m = Modus ponens

(d) Given that k =the proposition ”Steve will work at a computer company this summer.”

m = the proposition ”Steve will be a beach bum.”

Hence, k → k ∨ m. = Addition

e) Given that k = the proposition " I work all night on this homework."

m = the proposition "I will answer all the exercises"

n = the proposition "I will understand the material."

(k → m) ∧ (m → n) → (k → n) = Hypothetical Syllogism

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Hello. This question is incomplete. The full question is:

A 6-column table titled The cost of and return on pie production has 7 rows. The first column is labeled pies produced per day with entries 0, 1, 2, 3, 4, 5, 6. The second column is labeled total cost with entries 0, 1, 1.50, 1.75, 2.25, 3.50, 5.00. The third column is labeled Marginal cost with entries 0, 1, 0.50, 0.25, 0.50, 1.25, 1.50. The fourth column is labeled total revenue with entries blank, 10, 20, 30, 40, 50, 60. The fifth column is labeled Marginal revenue with entries blank, 10, 10, 10, 10, 10, 10. The sixth column is labeled Profit with entries 0, 9, 18.50, 27.25, 37.75, 46.50, and 55.The chart shows the marginal cost and marginal revenue of producing apple pies.

What most likely will happen if the pie maker continues to make additional pies?

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

The marginal costs will continue to fall, decreasing the total cost, while the marginal revenue remains the same, increasing the profit.

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, increasing the profit.

The marginal costs will continue to fall, decreasing the total cost, while the marginal revenue remains the same, decreasing the profit.

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The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

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