Answer:
The pressure is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form 
or 
In this problem we have
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For 
,
step 1
Find the value of k
substitute the values of V and P
The equation is equal to 
step 2
Find the pressure when the volume is 125 cubic inches
For 
substitute in the equation and solve for P
The rate of change is -29/5x^2
A is the correct answer. ☺️
Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90
Step-by-step explanation:
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
