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3 years ago

6

Brain has reduced his cholesterol level by 15% by following a strict diet and regular exercise. If his original level was 240, w

hat is his cholesterol level now?

1 answer:

Nataly [62]3 years ago

5 0

Answer: 204

Step-by-step explanation: 15% of 240 is 36 so subtract 36 from 240 and you get 204

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a. Show that the following statement forms are all logically equivalent. p → q ∨ r, p ∧ ∼q → r, and p ∧ ∼r → q b. Use the logica

slava [35]

Answer:

(a) if n is prime, then n is odd or n is 2

(b) if n is prime and n is not odd, then n is 2

(c) if n is prime and n is not 2, then n is odd

Step-by-step explanation:

a) p → q ∨ r

b) p ∧ ∼q → r

c) p ∧ ∼r → q

Lets show that (a) implies (b) and (c). (a) says that if property p is true, then either q or r is true, thus, if p is true we have:

If the condition of (b) applies (thus q is not true), we need r to be true because either q or r were true because we are assuming (a) and p. Hence (b) is true
If the condition of (c) applies (r is not true), since either r or q were true due to what (a) says, then q neccesarily is true, hence (c) is also true.

Now, lets prove that (b) implies (a)

If p is true and property (b) is true, then if q is true, then either q or r are true thus (a) is correct. If q is not true, then property (b) claims that, since p is true and q not, r has to be true, therefore (a) is valid in this case as well, hence (a) is also true.

(c) implies (a) can be proven with similar argument, changing (b) for (c), q for r and r for q.

With this we prove that the 3 properties are equivalent.

For the rest of the exercise, we have

property p: n is prime
property q: n is odd
property r: n is 2

Translating this, we obtain (a), (b) and (c)

(a) if n is prime, then n is odd or n is 2

(b) if n is prime and n is not odd, then n is 2

(c) if n is prime and n is not 2, then n is odd

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4 years ago

PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinde

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87.92

Step-by-step explanation:

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3 years ago

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walks dogs for 3 hours on Saturday and 4 hours on

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Which equation could be used to check the reasonableness of her total?

Step-by-step explanation:

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3 years ago

What is the value of x?

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Answer:

80 degrees

Step-by-step explanation:

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BRAINLIEST to the one who can asnwer my question and show me the work step by step so that I can understand. I want to understan

Tanzania [10]

Edited 2018-03-09 07:49

Given unit circle, so radius=1.

We calculate lengths of vertical segments, with the help of Pythagoras Theorem, based on a right triangle radiating from circle centre O, and hypotenuse from O to a point on the circumference.
AO=1 (given unit circle)
BB'=sqrt(1^2-0.25^2)=0.968246
CC'=sqrt(1^2-0.5^2)=0.866025
DD'=sqrt(1^2-0.75^2)=0.661438
EE'=0

Now we proceed to calculate the segments approximating the arc. Again, we use a right triangle in which the hypotenuse is the segment joining two points on the circumference. The height is the difference between the two vertical segments, and the base is 0.25 for all four segments.
AB=sqrt((AO-BB)^2+0.25^2)=0.252009BC=sqrt((BB-CC)^2+0.25^2)=0.270091CD=sqrt((CC-DD)^2+0.25^2)=0.323042DE=sqrt((DD-0)^2+0.25^2)=0.7071068

giving a total estimation of the arc length
approximation of arc=AB+BC+CD+DE=1.55225

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3 years ago

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