Answer:
-9
Step-by-step explanation:
f(x) = -3x
Let x = 3
f(3) = -3*3 = -9
Find the number of gallons that need to be drained:
60.5 - 24.5 = 36 gallons will need to be drained.
Divide the number of gallons that need to drain by the rate:
36 gallons / 4.5 gallons per minute = 8 minutes.
Question
Consider, The motion of a a damped harmonic oscillator is described by x′′
x
″
+ bx′
b
x
′
+ kx=0
k
x
=
0
, where b is greater than or equal to 0
A) Rewrite as a two dimensional linear system.
x′=y
x
′
=
y
y′
y
′
= - (by+kx)
(
b
y
+
k
x
)
B) Sketch the analogue of the trace-determinant plane in the bk-plane. That is, identify the regions in the relevant portion of the bk-plane where the corresponding system has similar phase portraits.
I have cut out most of my answer etc as it seems to of merely confused people, how does one answer this question?
Answer:
2/9
Step-by-step explanation:
One would have to believe since there is only 3 angles, it is a triangle which has a total of 180 degrees. They give us the degrees for all the angles, we just have to add them up and solve for x.
180° = ∠A + ∠B + ∠C
180° = 65° + (3X-10)° + 2X° Drop the parentheses
180° = 65 + 3x - 10 + 2x Combine like terms
180° = 55 + 5x subtract 55 from both sides
125° = 5x divide both sides by 5
25° = x substitute this value for x into the ∠'s
∠A = 65°
∠B = 3x - 10
= 3(25) - 10
= 65°
∠C = 2x
= 2(25)
= 50°