Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
The answer will be x^3-5. Hope it help!
Answer:
Equation: 2x + 5 + 6x + 15 = 92
Solution: x = 9
m∠A =23° m∠B = 69°
Step-by-step explanation:
measure of ∠B = 3(2x + 5) = 6x + 15
The sum of the angles = 92 = 2x + 5 + 6x + 15
92 = 8x + 20
72 = 8x
x = 9
m∠A = 2(9) + 5 = 18 + 5 = 23
m∠B = 6(9) + 15 = 54 + 15 = 69
Check: 23 + 69 = 92 and 23(3) = 69
-16.9x + 16 is the correct answer. You have to remove the parentheses, collect the like terms, and then simplify.
If there are 8 marbles in a group , and 5 out of every 8 is red, than in six groups there would be 5, 10, 15, 20, 25, 30 red marbles.
This lists the group of 6 sets.
30 red marbles in 6 sets.
