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Phoenix [80]
2 years ago
14

Please look at photo

Mathematics
1 answer:
Nitella [24]2 years ago
3 0

Answer:

it would be the first one

Step-by-step explanation:

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The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

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:

20⁢r^2+c⁢r+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

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
Brad will put fencing around a circular
s344n2d4d5 [400]

Answer:

20π ft²

Step-by-step explanation:

Calculate the circumference of this circular area:  C = 2πr, where r is the radius:

C = 2π(10 ft) = 20π ft²

3 0
3 years ago
Anna paid $4 for renting a video game for 4 days. Which graph shows the relationship between the costs of renting a video game f
Andreas93 [3]
She paid $ 4 for renting a video game for 4 days...that means she paid $ 1 per day. 

A horizontal axis is labeled days, a vertical axis is labeled cost of rental.
(x,y)...x is gonna be ur days and y is gonna be ur cost of rental

ur equation is gonna be y = x

points are plotted (1,1) , (2,2), (3,3)

 ^^ this is the graph u use ...graph B
3 0
3 years ago
I need help with a proof. i only need number 3, 6, & 7. please help!!!
lesya692 [45]

Answer:

boottytff tgggfgv dugddcv

3 0
3 years ago
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
Solnce55 [7]
Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less

m∠X + m∠Y < 90°
4 0
3 years ago
Read 2 more answers
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