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mote1985 [20]
3 years ago
12

4. Which represents the symbolic notation of I the compound statement below? "Memorial Day is in July or parallel lines intersec

t." A. p^g B. p^~q C. p V q D. p V~q​
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

C; P v q

Step-by-step explanation:

Here, we want to give the logical equivalent of the statements.

Firstly,

let p = memorial day is in July

q = parallel lines intersect

It should be noted that on logic, the term or can be represented by V

Thus, the statement here can be written as;

P V q

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Answer:

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Step-by-step explanation:

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KATRIN_1 [288]

Answer:

Step-by-step explanation:

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3 years ago
An old movie theater has seats on a main floor and in a balcony. The main floor has 26 rows of 29 seats in each row. The balcony
Archy [21]
The main floor has 26 rows of 29 seats each, that is 26*29 = 754 seats  
And in the balcony there is 8 rolls of 23 seats, that is 8*23 = 184 seats  
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3 0
3 years ago
Although, Lara Croft was successful at stopping the enemy in
earnstyle [38]

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

5 0
3 years ago
which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta)
zimovet [89]

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

5 0
3 years ago
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