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Vlad [161]
2 years ago
9

The Cohens found 8 pairs of shorts with the following prices:

Mathematics
1 answer:
Leona [35]2 years ago
6 0

Answer:

the range of the prices is $28

Step-by-step explanation:

the range is 38-10 so it’s 28

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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
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2 years ago
Simplify (2x - 2y) (2y + 8) =?
Alika [10]

Answer:

it is 4xy-4y^2+16x-16y

Step-by-step explanation:

My method is to "square them"

2x.          -2y.      

                         2y

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2x * 2y

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and add all the products together

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Answer:

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Step-by-step explanation:

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ra1l [238]

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1/6

Step-by-step explanation:

total no of out comes= 6

favourable out comes= 1

:. prob( getting 4)=1/6

8 0
2 years ago
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