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3 years ago

Will give the brainliest!!!

Mathematics

2 answers:

DaniilM [7]3 years ago

8 0

the answer should be 320.4

Thepotemich [5.8K]3 years ago

3 0

Answer:

320.4

Step-by-step explanation:

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A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in and then s

Bas_tet [7]

Answer:

Step-by-step explanation:

$m=\frac{3}{32}\\ \gamma =0\text{ damping constant.}\\ k=\frac{3}{\frac{1}{4}}=12\\ F(t)=0\\ \text{so equation of motion is }\\ mu''+\gamma u'+ku=F(t)\\ \frac{3u''}{32}+12u=0\\ u''+128u=0\\ \text{and initial conditions are}\\ u(0)=-\frac{1}{12}\\ u'(0)=2\\ u''+128u=0\\ \text{characterstic equation is}\\ r^2+128=0\\ \text{roots are }\\ r=\pm 8\sqrt{2}i\\ \text{therefore general solution is}\\ u(t)=A\cos8\sqrt{2}t+Bsin8\sqrt{2}t\\ \text{using initial conditions we get}\\ A=-\frac{1}{12}\\ B=\frac{\sqrt{2}}{8}\\ \text{therefore solution is }\\ u(t)=-\frac{1}{12}\cos8\sqrt{2}t+\frac{\sqrt{2}}{8}\sin8\sqrt{2}t\\
{hence}\\R=\sqrt{\frac{11}{288}}\\\\\sigma=\pi - \tan^{-1}\frac{1}{\sqrt{2}}\\\\\omega_0=8\sqrt{2}\\T=\frac{4}{4\sqrt{2}}$

3 0

3 years ago

2x-y=5<br>2x-2y=4<br><img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%20-%20y%20%3D%205%20%5C%5C%202%20%5Ctimes%20%20-%202y%20%

d1i1m1o1n [39]

$\left\{\begin{array}{ccc}2x-y=5\\2x-2y=4&|\cdot(-1)\end{array}\right\\\underline{-\left\{\begin{array}{ccc}2x-y=5\\-2x+2y=-4\end{array}\right}\ \ \ \ |add\ both\ sides\\.\ \ \ \ \ \ \ \ y=1\\\\substitute\ the\ value\ of\ y\ to\ first\ equation\\\\2x-1=5\ \ \ |+1\\2x=6\ \ \ |:2\\x=3\\\\\left\{\begin{array}{ccc}x=3\\y=1\end{array}\right$

7 0

2 years ago

The sum of the first 130 positive even integers

Triss [41]

Answer:

Step-by-step explanation:

Positive integers are of the form 2n

The first term is 2 and the 130th term is 2(130)=260

The sum of this arithmetic sequence is the average of first and last terms times the number of terms

(2+260)(130/2)

17030

7 0

3 years ago

Can y'all find the value of x? (You will earn 19 points if you answer all of these questions. Please make sure they're right bec

Aloiza [94]

Answer:

1. 16/5 2. 4 3. 15 4. 56 5. 15/2 6. -20 7. -3.333333 8. -23/2 9. no solutions 10. -11/2

Step-by-step explanation:

Can i get brainliest for this?

7 0

3 years ago

Write the slope-intercept form of an equation of the line that passes through the point (5, -5) and is parallel to the graph of

Illusion [34]

Answer:

$y=-3x+10$

Step-by-step explanation:

Parallel equations have same slope

Therefore slope of 3x + y = -2 is same as slope of other equation.

Slope of 3x + y = -2 is

m=-3

Now we have write equation having slope -3 and passing through point (5, -5)

$(y+5)=-3(x-5)$

$y=-3x+10$

7 0

3 years ago