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mojhsa [17]
3 years ago
6

Determine how many whole numbers have square roots between 5 and 6. Show your work.

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Step-by-step explanation:

We are looking for possible values of n in

5 < √n < 6, where n is a whole number.

(5)² < (√n)² < (6)² is allowed as all are positive.

25 < n < 36

Therefore there are 36 - 25 - 1 = 10 values for n.

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Step-by-step explanation:


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DISCRETE MATHEMATIC
Jet001 [13]

Answer:

The conclusion "T" logically follows from the premises given and the argument is valid

Step-by-step explanation:

Let us use notations to represent the steps

P: I take a bus

Q: I take the subway

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S: I take a taxi

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(¬Q ∧ ¬P) → S

¬R

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∴ T

PROOF:

1. (¬Q ∧ ¬P) → S                Premise

2. S → (¬R ∧ T)                  Premise

3. (¬Q ∧ ¬P) → (¬R ∧ T)    (1), (2), Chain Rule

4. ¬(P ∨ Q) → (¬R ∧ T)      (3), DeMorgan's law

5. (P ∨ Q) → R                   Premise

6. ¬R                                 Premise

7. ¬(P ∨ Q)                        (5), (6), Modus Tollen's rule

8. ¬R ∧ T                          (4), (7), Modus Ponen's rule

9. T                                   (8), Rule of Conjunction

Therefore the conclusion "T" logically follows from the given premises and the argument is valid.

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