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.
9514 1404 393
Answer:
15625/4096
Step-by-step explanation:
The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...
an = a1·r^(n-1)
an = 1·(5/4)^(n-1)
Then the 7th term is ...
a7 = (5/4)^(7-1) = 15625/4096
Electronegativity<span> is a measure of the tendency of an atom to attract a bonding pair of electrons. The Pauling scale is the most commonly used. Fluorine (the most</span>electronegative<span> element) is assigned a value of 4.0, and values range down to caesium and francium which are the least </span>electronegative<span> at 0.7.</span>
Answer:
.12314
Step-by-step explanation:
<h3>
Answer: SAS</h3>
=================================
How to get this answer:
We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"
The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees
The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.
Note how the angles are between the two pairs of sides mentioned.