Answer: Hi, first lets give our variables some names.
Lets call Ks to Karen's salary and Js to Jason's salary.
then, in 1995:
Ks₁ - Js₁ = 2000$
in 1998:
Ks₂ - Js₂ = 2440$
now, we know that Ks₂ = (1 +p)*Ks₁ and Js₂ = (1+p)*Js₁
so we can write the second equation as:
p*(Ks₁ - Js₁ ) = 2440$
replacing the parentesis with the first equiation
(1+p)*(2000$) = 2440$
(1+p)= 2440/2000 = 1.22
so p = 0.22, or a 22%
Answer:
It is symmetric about x- axis
The graph is not symmetric along the y - axis
It is not symmetric about the origin
Step-by-step explanation:
We can easily know the solution to your problem by graphing the equation
r(θ) = 2*cos (5*θ)
Please, see attached image
The graph is symmetric about the x axis if
r(θ) = r(-θ)
r(θ) = 2*cos (5*θ) = 2*cos (-5*θ) = r(-θ)
Since the cosine is an even function.
It is symmetric about x- axis
The graph is not symmetric along the y - axis, because
r(θ) ≠ r(π-θ)
It is symmetric about the origin if
r(θ) = r(π+θ)
But, since,
r(θ) = 2*cos (5*θ) ≠ 2*cos (5*(θ+π)) = 2*cos (5*θ+5*π)
It is not symmetric about the origin
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
The least common denominator is 462
Answer:
1 inch
Step-by-step explanation:
The formula for the volume of a cylinder:
V = πr²h, where r=radius and h = height
Using 7.1 for 'V' and 1.5 for 'r' (1/2 of the diameter), we can fill in the values and solve for 'h':
7.1 = π(1.5)²h or 7.1 = 7.065h
h = 1 inch
