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Verdich [7]
3 years ago
11

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

Mathematics
1 answer:
Alexxx [7]3 years ago
6 0

Answer:

Option A is correct

Step-by-step explanation:

First Statement is  P: Water is wet

Second statement is Q: 5+3 =15

Truth value of P = T

Truth value of Q = F

And we have  T implies F gives F

so its F .

therefore option first is true.

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A spherical shell whose inner radius is 2 cm and whose outer radius is 8 cm is made of material of varying density. At a point {
Flauer [41]

Answer:

Density is 16.11 units, If it is less than the density of water in the same units, the sphere will float.

Step-by-step explanation:

We have to:

Mass of shell at distance r from:

Density = mass / volume, if we solve for mass we have:

Mass = volume * density

replacing:

Mass = (4 * pi * (r ^ 2) * dr) * (0.39r ^ 2)

Mass = 1.68 * pi * r ^ 4 * dr

Mass = 1.68 * pi integral from 2 to 8 of {r ^ 4 * dr}

Mass = 1.68 * 3.14 * (r ^ 5) / 5 when r equals 2 to 8, replacing:

Mass = 1.68 * 3.14 * [(8 ^ 5/5 - (2) ^ 5/5]

Mass = 34537.79

Now the volume would be: (4/3) * pi * r ^ 3, we replace:

(4/3) * 3.14 * 8 ^ 3 = 2143.57

Density = 34537.79 / 2143.57 = 16.11 units

If it is less than the density of water in the same units, the sphere will float.

6 0
3 years ago
Anya, Daniel and Victoria shared some tokens for games in an arcade in the ratio 3:5:7.
anzhelika [568]

Answer:

45 Tokens

Step-by-step explanation:

3:5:7

Anya = 3

Daniel = 5

Victoria = 7

Daniel + Victoria = 36

5 + 7 = 36

12 = 36

1 = 3

(1 ratio is 3 tokens)

(3 + 5 + 7) × 3 = 45

4 0
3 years ago
4. Use information in the figure below to find M/_ D​
shtirl [24]

Answer:

d

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with base angle being congruent, that is

∠ D = ∠ E , then

∠ D = \frac{180-133}{2} = \frac{47}{2} = 23.5°

8 0
2 years ago
WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. THANK YOU AND GOD BLESS. THE QUESTION IS ATTACHED. :)
Anuta_ua [19.1K]

9514 1404 393

Answer:

  (x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

  \left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}

Substituting for y in the second equation, we can find x.

  \dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}

The solution is (x, y) = (34/5, -4/5) = (6.8, -0.8).

7 0
3 years ago
1. Change into decimal number.
alexdok [17]
Naguguluhan ako sa tanong mo po
7 0
3 years ago
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