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3 years ago

Math help plzzzzzzzxysgzfrhfu

Mathematics

2 answers:

DanielleElmas [232]3 years ago

5 0

Answer:

d is answer i 100% sure for first

Mice21 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

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If h(x)=(x-2)^2, find h(x+1)

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Answer:

Step-by-step explanation:

h(x+1) = ( x + 1 - 2)²

= (x -1)²

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3 years ago

Which of the following expressions are equivalent to 6 + (-4) - 5 ?

Gekata [30.6K]

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Step-by-step explanation:

A and C gives same result....

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3 years ago

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

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3 years ago

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3 years ago

Jennifer drives 265 miles in 5 hours what is her average rate of speed in miles per hour ?

algol [13]

Answer: 53

265 divided by 5=

53

hope this helps

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4 years ago