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3 years ago

Which of the following illustrates the truth value of the given conditional statement?

Mathematics

2 answers:

Blababa [14]3 years ago

6 0

Answer:

Option A. F T → F

Explanation:

A conditional is represented by:

p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

1. State the antecedent of the conditional and is truth value

Antecedent: 6 > 10

Truth value: False, because 6 is not greater than 10.

2. State the consequent of the conditional and its truh value

8 • 3 = 24

Truth value: True, because 8 times 3 is 24.

3. Truth value of the conditional

Hence, the truth value of the conditional is:

False Truth → Truth, or

F T → T

Which is the option A.

Natasha_Volkova [10]3 years ago

6 0

Answer:

Option A. F T → F

Explanation:

A conditional is represented by:

p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

1. State the antecedent of the conditional and is truth value

Antecedent: 6 > 10

Truth value: False, because 6 is not greater than 10.

2. State the consequent of the conditional and its truh value

8 • 3 = 24

Truth value: True, because 8 times 3 is 24.

3. Truth value of the conditional

Hence, the truth value of the conditional is:

False Truth → Truth, or

F T → T

Which is the option A.

Step-by-step explanation:

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Lesechka [4]

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2 years ago

Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is

castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

$1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles$

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

$Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr$

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

$1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s$

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

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3 years ago

When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin Alex, is 20 3/4 inches. How much longer is Ma

Furkat [3]

Answer:

Alex is 2 1/4 inches longer than Maddy

Step-by-step explanation:

Alex is longer than Maddy

20 3/4 - 18 1/2

Get a common denominator

20 3/4 - 18 2/4

2 1/4

Alex is 2 1/4 inches longer than Maddy

Maddy is -2 1/4 inches longer than Alex

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3 years ago

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What is the solution to 3x²+x+10=0

e-lub [12.9K]

Answer:

x = - 1/6 + √-119/6, and, - 1/6 - √-119/6

Step-by-step explanation:

Using the quadratic formula which is: - b ± √b² - 4ac / 2a

a = 3, b = 1, c = 10

- 1 ± √1² -4 * 3 * 10 / 2 * 3

- 1 ± √1 - 120 / 6

-1 ± √-119 / 6

= -1/6 + √119/6, or - 1/6 - √-119/6

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3 years ago

Write an equation of the line passing through the point (-6,-7)with slope=4.

MAVERICK [17]

And how would I do that via computer? If this is homework, do it your self, it's not that hard. Draw it and scan it (man computer doesn't have the ability to scan things)

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