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Symbolic Logic

Can you figure out the values of the following below? Why or why not

1.    (H ≡≡ A) ⊃J (G ≡≡ B)

2.    ~ (X· G)

For each of the following pairs of sentences below, indicate whether (1) is a sufficient condi[1]tion for (2), a necessary condition for (2), both, or neither

3.   (I) Amy is not a student. (2) Amy is neither a student nor a teacher.

4.   (1) John loves Mary. (2) Someone loves Mary.



Symbolic Logic

Compute the truth values of the following, given that A, B, and C are true, and X, Y, and Z are false.

1.   ~ [((A⊃J ~B) ⊃J~C) ⊃J~X]

2.  [(((A⊃J B) ⊃J X) ⊃J Z) ⊃J Y] ⊃J [((X ⊃J Z) ⊃J A) ⊃J X]

 

Compute the truth values of the following, using the values given in the above Exercise, but without being given the values of G, H, or f.

3. (A∨B) ≡((G∨H) ⊃A)

4.    (G ≡≡ (H· A)) ⊃J «~H V I) ⊃J (X⊃J Z))



A 3kg object travels in a uniform circle at a constant speed of 12m/s. The centripetal force acting on the object is 110 Newtons.


Calculate the time required for the the object to complete one full circle.


A 3kg object travels in a uniform circle at a constant speed of 12m/s. The centripetal force acting on the object is 110 Newtons.


Calculate the weight of the object


A bullet leaves the barrel of a gun at a speed or 320 m/s at an angle of 45 degrees above the horizontal. At the moment the bullet leaves the barrel, the acceleration of the bullet is:

A. 0

B. 320m/s to the right

C. 9.8m/s upward

D. 9.8m/s downward


An automobile with an initial speed of 3.40 m/s accelerates uniformly at the rate of 6.0 m/s2. Find the final speed after 5s.

In the study of urinary tract infection, the sample and proportion in the group of

fosfomycin / trometamol was 25, 0.92 and trimethoprim / sulfamethoxazole was

16, 0.61, respectively.

a) Find the difference in proportions. (0.5)

4

b) Standard error of difference in proportions. (0.5)

c) Compute a 95% confidence interval of difference in proportions


An office heater puts out 2090 Btu

(British thermal units) of energy in the form of heat per hour. Given that 1 Btu=1.055 kJ,

how many megajoules of energy in the form of heat can be produced per year (365 days) by the heater, assuming continuous operation?

energy produced:



Which statement about nitrogen is FALSE?

  1. Plants are the only organisms that need nitrogen
  2. Nitrogen gas is abundant in our atmosphere
  3. Some bacteria can convert nitrogen gas to usable nitrogen
  4. Plants need nitrogen to make proteins


When animals die and their bodies are not fully decomposed, they…

  1. turn into fossil fuels
  2. turn into water
  3. turn into soil
  4. evaporate


Nitrogen Fixation:

  1. The process by which nitrogen in the atmosphere is changed into a form that can be used by plants
  2. The large source of carbon-based compounds found within natural and engineered, terrestrial and aquatic environments
  3. Life
  4. The movement of nitrogen through living and nonliving things

Which statement explains the most realistic way to model energy flow in an ecosystem?

  1. A food chain is most realistic because many organisms eat one type of food, and energy moves through a single pathway
  2. A food chain is most realistic because many organisms eat a variety of foods, and energy moves through different pathways
  3. A food web is most realistic because many organisms eat one type of food, and energy moves through a single pathway
  4. A food web is most realistic because many organisms eat a variety of foods, and energy moves through different pathways
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