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2 years ago

If p is a true statement and q is false, what is the truth value of p ∨ q?

2 answers:

6 0

The answer is TF → T, because it says P is true and q is false. P is the first one (the T) and Q is the second one (the F). And since this is a true statement, it would say T after the arrow.

Dafna1 [17]2 years ago

3 0

$p\lor q$ is true if either of $p$ or $q$ is true. We know $p$ is true, which enough to say that $p\lor q$ is also true.

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A certain ball is dropped from a height of x feet. It always bounces up to 2/3 x feet. Suppose the ball is dropped from 10 feet

galina1969 [7]

Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.

And the ball is dropped from 10 feet, that is x=10 feet,

So,before the first bounce it travels 10 feet distance.

Between first and second bounce it travels $\frac{2}{3}* 10 + \frac{2}{3} * 10 = 20*(\frac{2}{3})$

Between second and third bounce, it travels $20*(\frac{2}{3})^{2}$

Between third and fourth bounce, it travels $20*(\frac{2}{3}) ^{3}$

Like that between 29th and 30th bounce, it travels $20*(\frac{2}{3} )^{29}$

Hence total distance traveled is

$10+20*(\frac{2}{3} )+20*(\frac{2}{3})^{2} + 20*(\frac{2}{3}) ^{3}+......+20*(\frac{2}{3})^{29}$

= $10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]$

= $10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29}) }{1-\frac{2}{3} }]$

= 10+20*2*(1- $(\frac{2}{3}) ^{29}$ )

= 49.9997 feet ≈ 50 feet approximately.

7 0

2 years ago

Read 2 more answers

(9x – 9) (3x + 9)°/B Find the measure of ABC

katrin2010 [14]

Answer:

<ABC = 54 degrees

Step-by-step explanation:

Taking the sum of angle on the straight line ABD as 180 degrees

3x+9 + 9x - 9 =180

12x = 180

x = 180/12

x = 15 degrees

Since <ABC = 3x+9 (vertically opposite angles)

<ABC = 3(15)+9

<ABC = 45+9

<ABC = 54 degrees

5 0

2 years ago

Jasmine's scores on the first 4 tests were 87%, 92%, 76%, and 89%.

Korvikt [17]

Answer:

The minimum score Jasmine needs to make on the fifth test to ensure her average is at least 80% is 56%

Step-by-step explanation:

This is the information provided to us to answer the question correctly:

Score 1st test = 87%
Score 2nd test = 92%
Score 3rd test = 76%
Score 4th test = 89%
Score 5th test = x

Now, let's calculate the average of Jasmine's scores and to solve for x:

(87 + 92 + 76 + 89 + x)/5 ≥ 80

(344 + x)/5 ≥ 80

344 + x ≥ 80 * 5

344 + x ≥ 400

x ≥ 400 - 344

x ≥ 56

3 0

3 years ago

Read 2 more answers

Please help ASAP thank u

Pepsi [2]

Answer:

1. B

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is 3/4 to the negative 1 power

umka21 [38]

Answer:

4/3

Step-by-step explanation:

To the power of negative one just means 1 divided by and 1 divided by 3/4 is just 4/3

3 0

2 years ago