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Rzqust [24]
3 years ago
8

Party punch cost $2.50 per half gallon. How much would 6 gallons cost!!!!! HELP ASAP DUE AT MIDNIGHT

Mathematics
2 answers:
olga55 [171]3 years ago
8 0

Answer:

ehh its D.$30.00

Step-by-step explanation:

sry im not trying to be rude or anything... but do you know your times table >,<

Montano1993 [528]3 years ago
7 0

Answer:

2.50 times 2 is 5. $5 is now 1 gallon. 5 time 6 equal $30. $30 dollar is your answer. Please mark brainly!!

Step-by-step explanation:

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Consider the following. (A computer algebra system is recommended.) y'' + 3y' = 2t4 + t2e−3t + sin 3t (a) Determine a suitable f
drek231 [11]

First look for the fundamental solutions by solving the homogeneous version of the ODE:

y''+3y'=0

The characteristic equation is

r^2+3r=r(r+3)=0

with roots r=0 and r=-3, giving the two solutions C_1 and C_2e^{-3t}.

For the non-homogeneous version, you can exploit the superposition principle and consider one term from the right side at a time.

y''+3y'=2t^4

Assume the ansatz solution,

{y_p}=at^5+bt^4+ct^3+dt^2+et

\implies {y_p}'=5at^4+4bt^3+3ct^2+2dt+e

\implies {y_p}''=20at^3+12bt^2+6ct+2d

(You could include a constant term <em>f</em> here, but it would get absorbed by the first solution C_1 anyway.)

Substitute these into the ODE:

(20at^3+12bt^2+6ct+2d)+3(5at^4+4bt^3+3ct^2+2dt+e)=2t^4

15at^4+(20a+12b)t^3+(12b+9c)t^2+(6c+6d)t+(2d+e)=2t^4

\implies\begin{cases}15a=2\\20a+12b=0\\12b+9c=0\\6c+6d=0\\2d+e=0\end{cases}\implies a=\dfrac2{15},b=-\dfrac29,c=\dfrac8{27},d=-\dfrac8{27},e=\dfrac{16}{81}

y''+3y'=t^2e^{-3t}

e^{-3t} is already accounted for, so assume an ansatz of the form

y_p=(at^3+bt^2+ct)e^{-3t}

\implies {y_p}'=(-3at^3+(3a-3b)t^2+(2b-3c)t+c)e^{-3t}

\implies {y_p}''=(9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c)e^{-3t}

Substitute into the ODE:

(9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c)e^{-3t}+3(-3at^3+(3a-3b)t^2+(2b-3c)t+c)e^{-3t}=t^2e^{-3t}

9at^3+(9b-18a)t^2+(9c-12b+6a)t+2b-6c-9at^3+(9a-9b)t^2+(6b-9c)t+3c=t^2

-9at^2+(6a-6b)t+2b-3c=t^2

\implies\begin{cases}-9a=1\\6a-6b=0\\2b-3c=0\end{cases}\implies a=-\dfrac19,b=-\dfrac19,c=-\dfrac2{27}

y''+3y'=\sin(3t)

Assume an ansatz solution

y_p=a\sin(3t)+b\cos(3t)

\implies {y_p}'=3a\cos(3t)-3b\sin(3t)

\implies {y_p}''=-9a\sin(3t)-9b\cos(3t)

Substitute into the ODE:

(-9a\sin(3t)-9b\cos(3t))+3(3a\cos(3t)-3b\sin(3t))=\sin(3t)

(-9a-9b)\sin(3t)+(9a-9b)\cos(3t)=\sin(3t)

\implies\begin{cases}-9a-9b=1\\9a-9b=0\end{cases}\implies a=-\dfrac1{18},b=-\dfrac1{18}

So, the general solution of the original ODE is

y(t)=\dfrac{54t^5 - 90t^4 + 120t^3 - 120t^2 + 80t}{405}\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\dfrac{3t^3+3t^2+2t}{27}e^{-3t}-\dfrac{\sin(3t)+\cos(3t)}{18}

3 0
3 years ago
2. A six sided cube was rolled. What is the probability of showing an odd number?"
Mrac [35]

Answer:

50 % since there are 3 odd numbers on a die [1.3.5]  and 3 even numbers [2,4,6]

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line with equation y = 1/6 (x) – 2
adell [148]
Let gradient of original line = m = 1/6
Gradient of line perpendicular to this  = -1/m = -6

(Gradient = slope)
3 0
3 years ago
What is y = x 2 + 10 x + 28 in vertex form?
Alexeev081 [22]

Answer:

=12x+28

Step-by-step explanation:

5 0
2 years ago
It’s really easy but I don’t know the steps can someone help?
tigry1 [53]

Answer:

x=0

Step-by-step explanation:

1/2(40+2x)=20

20+x=20

x=0

(I believe that s is the bisector, please correct me if I am wrong)

3 0
2 years ago
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