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NemiM [27]
3 years ago
15

How many different 10-letter code words can be constructed from the English alphabet?

Mathematics
1 answer:
sammy [17]3 years ago
6 0
There can be 210 10-letter codes words from the English alphabet
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What is the mean of the numbers?
velikii [3]

Answer:

1.6666666666666...

Step-by-step explanation:

10/6=5/3=1.6666666...

6 0
3 years ago
Put this equation in slope intercept form: 3x - 2y = -6
VashaNatasha [74]

Answer:

Y= 3/2x+3

Step-by-step explanation:

Hopefully this helps if so please mark as brainliest

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Math Help? Please! : )
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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
You and three friends are planning a trip. You want to keep the cost below $90 per person. Write and solve an inequality that re
velikii [3]

Answer:   x < 360

Step-by-step explanation:

Let x be the total cost for the trip.

And, Here the total number of person = 4

Therefore, the cost for each person = x/4

And,   According to the question, The cost must below $90 per person.

Therefore, x/4 < 90

⇒   x < 360

Which is the required inequality for the situation.


8 0
3 years ago
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