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3 years ago

Find the slope of the line below

Mathematics

2 answers:

Shkiper50 [21]3 years ago

8 0

Answer:

5/3

Step-by-step explanation:

rise=5

run=3

so 5/3

DIA [1.3K]3 years ago

8 0

It would be 5/3 the rise is 5 and the run is 3

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How many solutions does this system of equations have?

azamat

Answer:

its one solution

Step-by-step explanation:

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

8 0

3 years ago

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Elizabeth can jog 1 1/2 miles in 1/2 hour. How many miles can she jog in 1 hour

Nadya [2.5K]

Answer:

3 miles

Step-by-step explanation:

1/2 hour is 30 minutes so 1.5 x 2 is 3

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2 years ago

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Write each repeating decimal using bar

SVETLANKA909090 [29]

Answer:

*The bar is supposed to go on top of the number, but I will put it at the bottom because I don't know how to do it at the top*

a) 0.<u>5</u>

b) 0.<u>13456</u>

Step-by-step explanation:

a) The 5 is repeating so you put the bar on top of the 5

b) The number 13456 is repeated so you put the bar on top of the 13456

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2 years ago

How many solutions does this equation have?

IgorLugansk [536]

Answer:

Step-by-step explanation:

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3 years ago

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