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Readme [11.4K]
3 years ago
15

Find the product: -1(-28)=

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

the answer is 28

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All of these ODEs model a system with a spring, mass and dashpot.
Wewaii [24]

Answer:

− 3 y ' ' − 3 y ' + 3 y = 0 : over-damped

− 2 y ' ' − 4 y ' + 1 y = 0 : over-damped

1 y ' ' + 7 y ' + 5 y = 0: over-damped

Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

a_ny^n+a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

This differential equation will have a characteristic equation of the form:

a_nr^n+a_n_-_1r^{n-1}+...+a_1r+a_o=0

Now, you can classify the solution for a differential equation using a simple method. In order to do it, you just need to use the discriminant.

  • If the discriminant is greater than zero, the solution is over-damped

  • If the discriminant is less than zero, the solution is under-damped

  • If the discriminant is equal to zero, the solution is critically damped

So, given the differential equation:

-3y''-3y+3y=0

Which has characteristic equation of the form:

-3r^2-3r+3=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-3\\b=-3\\c=3

So:

Disc=(-3)^2-4(-3)(3)=9-(-36)=45

In this case:

Disc=45>0

Therefore the solution is over-damped.

Now, given the differential equation:

-2y''-4y'+1y=0

Which has characteristic equation of the form:

-2r^2-4r+1=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-2\\b=-4\\c=1

So:

Disc=(-4)^2-4(-2)(1)=16+8=24

In this case:

Disc=24>0

Therefore the solution is over-damped.

Finally, given the differential equation:

1y''+7y'+5y=0

Which has characteristic equation of the form:

1r^2+7r+5=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=1\\b=7\\c=5

So:

Disc=(7)^2-4(1)(5)=49-20=29

In this case:

Disc=29>0

Therefore the solution is over-damped.

6 0
3 years ago
Do you know What is h(t)=-10t+6
DochEvi [55]

-10t+6=0

-10t=-6

Divide both side by -10

t=3/5

7 0
3 years ago
SOLVE THIS QUESTION<br>​
ASHA 777 [7]

447/250

is the answer to the question

4 0
3 years ago
Read 2 more answers
Stephanie goes shopping on Sunday, she has $60. After buying 20 chocolates, she has $10 left. How much did the chocolate cost?
m_a_m_a [10]

Answer: x=2.5


Step-by-step explanation:

First we need to set up and equation

10= 60 - 20x

where x is the amount the cookies cost

subtract 60 from both sides

-50=- 20x

now divide each side by 20 so hat we can isolate the x

-50/-20= x

x= 2.5

now to check just multiply it by 20 then subtract from 60.

2.5 x 10= 50

60-50=10


6 0
3 years ago
Read 2 more answers
Cayden wants to buy a television that costs $600, including taxes. To pay for the television, he will use a payment plan that re
kobusy [5.1K]

well, the regular cost of the TV is 600 bucks, that includes taxes already, so is just 600 flat.

the payment plan makes Cayden pay 225 first, leaving 375 for periodic payments for 6 months, each payment of 74.50.

well, 74.5*6 = 447, so Cayden is paying 225 + 447 = 672, so the increase is 72 bucks.

If we take 600 to be the 100%, how much is 72 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 600&100\\ 72&x \end{array}\implies \cfrac{600}{72}=\cfrac{100}{x}\implies \cfrac{25}{3}=\cfrac{100}{x} \\\\\\ 25x=300\implies x=\cfrac{300}{25}\implies x=12

7 0
2 years ago
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