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vlada-n [284]
3 years ago
10

between twelve o'clock midnight and twelve o clock noon how many times are the minute hand and hour hand of a clock at right ang

les to each other?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
The minute hand and hour hand of a clock have 12 right angles to each other.
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andriy [413]

Answer:

There is 216 , if you are using three dice. I hope this helps :)

Step-by-step explanation:

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3 years ago
If y=e5t is a solution to the differential equation
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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

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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}

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6

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Answer:

4( t - 7) ( t - 3 )

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3 years ago
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