MATHEMATICS HIGH SCHOOL

The temperature of liters of a ideal gas was increased from 600 to 800 kelvins. If the volume remained constant and the final pressure was 30 atmospheres, what was the initial pressure?

Answers

Answer 1

Answer:

Answer:

the initial temperature is 22.5 atm

Step-by-step explanation:

The law describing pressure-temperature relationship is the Gay-Lussac's Law.

The Mathematical Form of which is:

=> $(P1)/(T1) = (P2)/(T2)$

Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K

=> $(P1)/(600) = (30)/(800)$

=> P1 = 0.0375 * 600

=> P1 = 22.5 atm

So, the initial temperature is 22.5 atm

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Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?

Answers

Given:
edge 1 = 3x - 4
edge 2 = x² - 1
edge 3 = 2x² - 15

perimeter if x = 4

edge 1 = 3(4) - 4 = 12 - 4 = 8
edge 2 = 4² - 1 = 16 - 1 = 15
edge 3 = 2(4²) - 15 = 2(16) - 15 = 32 - 15 = 17

Perimeter = 8 + 15 + 17 = 40 feet.

Answer:

40 feet

Step-by-step explanation:

IAcellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3

Answers

The volume of the cone to the nearest whole number is 1283 m³

How to determine the volume

Formula for volume of a cone = $\pi r^2(h)/(3)$

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume = $3. 142 * 7 * 7 * (25)/(3)$

Volume = $1,282. 98$

Volume = $1283 m^3$ in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

Learn more about a cone here:

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Final answer:

The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.

Explanation:

To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.

V = 1/3 * π * (7)² * 24 = 1232 m³

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The domain of the function is given. Find the range.f(x) = 2x - 1
Domain: (-2, 0, 2, 4)
Range: (5,1, -3,7)
Range: (-5, 1, -3,7)
Range: (-5, -1,3,7)
Range: [5, 1, +3, +7)

Answers

Answer:

Range={-5,-1,3,7). [optionC]

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5,-5,1,-3,7,3,
Explanation is that I’m guessing that this is the answer

In the year 2000, there were 5,000 people living in the town of Clairmont. By 2010, the population had grown to 5,600. What is the percent of change in the population from 2000 to 2010?88.3%
11%
12%
-20%

Answers

Given:
2000 - 5,000 people
2010 - 5,600 people

(5600 - 5000) / 5000 = 600/5000 = 0.12
0.12 * 100% = 12%

The percent of change is 12%. It means that the number of people increase by 12% from the original number of 5,000 in year 2000.

Answer:

12%

Step-by-step explanation:

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.