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Bess [88]
3 years ago
11

If −20 is the 15th term in an arithmetic sequence with a common difference of −7, what is the first term in the sequence?

Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0
An=A1+(n-1)d
-20=A1+(15-1)x-7
-20=A1+14 x -7
-20=A1-98
+98     +98
-98+98=0
-20+98=78
A1=78
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djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

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y'' - 3y' + 2y = 0

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For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

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y'' - 3y' + 2y = e^{-x}

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\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

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1 year ago
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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
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Answer:

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y=Ab^{\frac{t}{n}}

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y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

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To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

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The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

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After about 103 minutes, there will be 50,000 bacteria

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nika2105 [10]

Answer:

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Step-by-step explanation:

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3 years ago
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