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Yanka [14]
3 years ago
11

Let p and q be the propositions p: You drive over 65 miles per hour. q: You get a speeding ticket. Identify the expression that

represents the proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket." using p and q and logical connectives (including negations).
Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

- p ⇒ - q

Step-by-step explanation:

p : Drive over 65 miles

q : You get a speeding ticket.

So then we get the negations.

- p : You do not drive over 65 miles

- q : You don't get a speeding ticket.

So, we need to connect the sentences. For that we use ⇒.

⇒ : then.

So, the sentence, If you do not drive over 65 miles per hour, then you will not get a speeding ticket

Can be written as : -p ⇒ -q

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Step-by-step explanation:

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15. The average speed that a tsunami (a large tidal wave) travels is represented
irina [24]

Correct question :

The average speed that a tsunami (a large tidal wave) travels is represented

by the functions = (200d)^1^/^2 where s is the speed (in miles per hour) that the tsunami is traveling and d is the average depth (in feet) of the wave.

a. Find the inverse of the function.

b. Find the average depth of the tsunami when the recorded speed of the wave is 250 miles per hour.

Answer:

a) d = \frac{s^2}{200}

b) 312.5 ft

Step-by-step explanation:

Given:

Average speeds, s = (200d)^1^/^2

a) To find the inverse of the function.

s = (200d)^1^/^2

s² = 200d

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Therefore, inverse of the function =

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Average depth = d

Therefore, let's use the formula :

d = \frac{s^2}{200}

= \frac{250^2}{200}

= \frac{62500}{200}

d = 312.5 feet

The average depth when speed is 250 miles per hour is 312.5 ft

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