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2 years ago

Evaluate the expression x−2×8, if x = 27.8

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

7 0

Answer:

11.8

Step-by-step explanation:

the answer is above hope it helps. mark me as brainlist plz

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Answer:

(-6, 6).

Step-by-step explanation:

The x-coordinate increases by 2 units and the y-coordinate by 9 units:

That is ( - 8 + 2, -3 + 9)

= (-6, 6).

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2 years ago

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2 years ago

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2 years ago

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 $y=50e^{0.1386t}.$

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2 years ago

Read 2 more answers

The radius of the sun is approximately 700,000 kilometers. What is the volume of the sun?

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3 years ago