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snow_lady [41]
3 years ago
8

Cody donated $15 to the local Humane Society his brother donate at four dollars less than twice the amount that Cody donated how

much money did Cody’s brother donate
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

$26

Step-by-step explanation:

15 * 2= 30

30-4= 26

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x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

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

Will have a characteristic equation of the form:

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

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
C = 172.7 cm
Anika [276]
I am hoping that the a in c = ad is supposed to be x.

The formula for circumference is c = pi * diameter with 3.14 substituting for pi.

Let’s plug in some values

172.7 = 3.14d

Divide

55 = d

The diameter should be 55 cm.
4 0
3 years ago
Read 2 more answers
Complete the table and then graph the function.<br> y = x + 2 look at photo
Sonja [21]
4,5,9,10





just add two to each number
3 0
2 years ago
.33333 as a fraction
Varvara68 [4.7K]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
It's due in 30 minutes!!
Sati [7]
1. 500000 cm
2. 16 pints
3. 480 mL
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