Answer:
-27
Step-by-step explanation:
-8+4-7-9-2+(-5)
= -4-7-9-2-5
= -20-2-5
= -27
Recall the ideal gas law:
<em>P V</em> = <em>n R T</em>
where
<em>P</em> = pressure
<em>V</em> = volume
<em>n</em> = number of gas molecules
<em>R</em> = ideal gas constant
<em>T</em> = temperature
If both <em>n</em> and <em>T</em> are fixed, then <em>n R T</em> is a constant quantity, so for two pressure-volume pairs (<em>P</em>₁, <em>V</em>₁) and (<em>P</em>₂, <em>V</em>₂), you have
<em>P</em>₁ <em>V</em>₁ = <em>P</em>₂ <em>V</em>₂
(since both are equal to <em>n R T </em>)
Solve for <em>V</em>₂ :
<em>V</em>₂ = <em>P</em>₁ <em>V</em>₁ / <em>P</em>₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL
Answer:
1/2=(A+B)
area of triangle=1/2×base×height
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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Answer:
V(x) = (x +4)(x +2)(2x +11)
Step-by-step explanation:
For length L = (x+4), the height is ...
2L +3 = 2(x+4) +3
= 2x +8 +3
= 2x +11
The volume is the product of length, width, and height, so is ...
V = (x +4)(x +2)(2x +11)
