1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rus_ich [418]
3 years ago
5

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

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

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.

You might be interested in
An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)
erik [133]

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

                      18-20                  Not 18-20           Total

Male                0.23                    0.35                 0.58

Female            0.16                     0.26                0.42

Total                0.39                    0.61                   1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

P(female or between 18-20) =  0.42+0.39-0.16

P(female or between 18-20) = 0.65

Hence, our required probability is 0.65.

3 0
3 years ago
Houa bought 11 chicken wings for $23.10. How much does each wing cost?
MAXImum [283]

If Houa bought 11 chicken wings for $23.10.The cost of each wing will be $2.310.

<h3>What is an arithmetic operation?</h3>

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Houa bought 11 chicken wings for $23.10.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group. Doing division is simple it is a type of operation in which we will distribute the items.

Suppose the cost of each wing is x.

x = $23.10 / 10

x =  $2.310

Thus, if Houa bought 11 chicken wings for $23.10.The cost of each wing will be $2.310.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

4 0
1 year ago
Easy question.. giving brainliest<br> x/16 = 10/36<br> x=_
irina [24]

Answer:

x=40/9

Step-by-step explanation:

\frac{x}{16}  =  \frac{10}{36}  |first \: you \: cross \: multiply|  \\ x(36) = 16(10)  |open \: bracket  |  \\ 36x = 160 |divide \: both  \: side \:by \: 36 |  \\  \frac{36x}{36}  =  \frac{160}{36}  \\ x = \frac{40}{9}

6 0
3 years ago
A triangle has the coordinates
fiasKO [112]

Answer:

coordinates of its image

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

(Remember, zero multiplied by -1 remains 0).

Given are these points A, B, and C.

A = (4, -1)

B = (3,-3)

C = (0, 2)

After mirroring in the y- axis you get:

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

8 0
3 years ago
This table represents a proportional relationship. Find the constant of proportionality.
Pavel [41]

Answer:

1. 4

2. y = 4x

Step-by-step explanation:

1.

Divide any y value by its corresponding x value to find the constant of proportionality.

8/2 = 4

Constant of proportionality: 4

2.

Equation of proportional relation:

y = kx, where k is the constant of proportionality.

y = 4x

7 0
3 years ago
Read 2 more answers
Other questions:
  • The admission to a local fair is $10 for each adult and $6 for each child. Each ride costs $1.50 for an adult and $1 for a child
    9·1 answer
  • On the first day, Maria and Emily make flowers together for 1 hour and 25 minutes. In the time it takes Emily to make 2 paper fl
    13·1 answer
  • In the figure below, L || m. Find x.
    11·1 answer
  • (I’m needing help ASAP please )
    7·1 answer
  • A study of teenage drivers found that 63% text while driving and 30% have a car accident in their first year of driving. 21% of
    7·1 answer
  • Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
    12·1 answer
  • Mia needs $15 to purchase a new set of headphones. She is saving part of her allowance each week. The graph represents the situa
    8·1 answer
  • 8.A great white shark swims 22 feet below sea level. If the angle of
    7·1 answer
  • Pls help me <br><img src="https://tex.z-dn.net/?f=49%20%3D%20%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title="49 = {x}^{2} " al
    8·2 answers
  • Solve the equation: 4 x 2 + 8 = - 7<br> X=
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!