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larisa [96]
3 years ago
11

2(3+ ‐ 4)(7‐3)÷(2‐ ‐2)​

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0
The answer is 2 hopefully I answered your question in time
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If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
Pleased help me<br><br>the last word is situation?​
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Answer:

yes

Step-by-step explanation:

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Katy buys 4 dvds every 2 weeks. How many will she buy in 12 weeks?
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She buys 24 dvds in 12 weeks.
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3 years ago
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Difference between a number line and a number track
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What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.

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y = 1/2x - 2

Step-by-step explanation:

Slope intercept form:

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