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NikAS [45]
2 years ago
9

PLEASE HELP!! I’ve got a car with an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be

the volume of the gas when the pressure goes from 760 mmHg to 141.82 kPa?
Mathematics
1 answer:
evablogger [386]2 years ago
8 0

Answer:

V2 = 8571.43L

Step-by-step explanation:

To solve for the V2, We can use V2 = P1V1 / P2

= 1.0 atm × 12,000 L / 1.4 atm    

 = 12,000 L / 1.4 atm

= 8571.43 L

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Which polynomial is equivalent to 4n + 5^2
tankabanditka [31]

Answer:

16n^2+40n+25

Step-by-step explanation:

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2 years ago
Pythagoras help needed please
boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

\text{Diameter}=2\times 5=10\ cm

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.

6 0
3 years ago
If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?
xeze [42]

Answer:

P(X=x)=0.0004928

Step-by-step explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928

8 0
3 years ago
Alex mows a lawn that measures 800 square feet in
Darina [25.2K]

First thing we gotta do is find the unit rate:

800 divided by 2.5 = 320

And now your problem is complete! The unit rate or square foot per hour is 320 square feet per hour!

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5 0
3 years ago
Solve the system by the<br> substitution method.<br> -12x - 2y = -4<br> 6x + 3y = 18
schepotkina [342]

Answer: x = -1 , y = 8✔️

Step-by-step explanation:

-12x - 2y = -4 } Equation 1

6x + 3y = 18 } Equation 2

<em>We can extract the value of x from the equation 2: </em>

6x + 3y = 18 } Equation 2

6x = 18 - 3y

x = (18 - 3y)/6 } Equation 2

<em>Then we can substitute this value of x in equation 1: </em>

-12x - 2y = -4 } Equation 1

-12·(18 - 3y)/6 - 2y = -4

-36 + 6y -2y = -4

4y = -4 + 36

4y = 32

y = 32/4 = 8

<em>Now we can substitute this value of y in equation 2: </em>

x = (18 - 3y)/6 } Equation 2

x = (18 - 3·8)/6 = (18 -24)/6 = -6/6 = -1

Answer: x = -1 , y = 8✔️

<h3>Check </h3>

<em>We can check this result by substituting these values of x and y into the equations: </em>

-12x - 2y = -4 } Equation 1  

-12·(-1) - 2·8 = -4 ► 12 - 16 = -4✔️ checked!

6x + 3y = 18 } Equation 2

6·(-1) + 3·8 = 18 ► -6 + 24 = 18✔️ checked!

<h2><em>Spymore</em></h2>
5 0
3 years ago
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