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Serggg [28]
3 years ago
11

Sandy spent half of Her allowance going to the movies. She washed the family car and earn seven dollars. What is your weekly all

owance if she ended up at $12?
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

I'm pretty sure it's 13.

Step-by-step explanation:

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Root 78 would go Between 8 and 9
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What is the measure of angle Y, in degrees?
Afina-wow [57]

Answer:

The answer would be 116

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.
Jlenok [28]
y''+2y'+y=2t^2-t+3e^{-2t}

The characteristic equation is

r^2+2r+1=(r+1)^2=0\implies r=-1

so the characteristic solution is

y_c=C_1e^{-t}+C_2te^{-t}

For the particular solution, we can try looking for a solution of the form

y_p=at^2+bt+c+de^{-2t}
\implies{y_p}'=2at+b-2de^{-2t}
\implies{y_p}''=2a+4de^{-2t}

Substituting into the ODE, we have

(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}
at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}
\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3

So the general solution to the ODE is

y=y_c+y_p
y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}
4 0
3 years ago
A student has some $1 and $5 bills in his wallet. he has a total of 16 bills that are worth 56
aev [14]
X = $ 1 bills, y = $ 5 bills

x + y = 16......x = 16 - y
x + 5y = 56

16 - y + 5y = 56
16 + 4y = 56
4y = 56 - 16
4y = 40
y = 40/4
y = 10 <== there are 10 five dollar bills

x + y = 16
x + 10 = 16
x = 16 - 10
x = 6 <=== there are 6 one dollar bills
3 0
3 years ago
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