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3 years ago

15

Travis lives 195 miles from Dallas. On a normal trip, it takes 180 minutes to drive from his house to Dallas. What is Travis' av

erage rate of speed in miles per hour?

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

65 mph

Step-by-step explanation:

195 mi/180 min

195 mi/3 hr

65 mi/1 hr

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Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.

Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

$(2x+5y)dx+(5x-4y)dy=0$

Now the above differential equation can be re-written as

$P(x,y)dx+Q(x,y)dy=0$

Checking for exactness we should have

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}$

$\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5$

$\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5$

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

$u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)$

The value of $\phi (y)$ can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

$\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c$

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3 years ago

Now find the sum what 2 5/6 and

salantis [7]

Answer:

$2 \frac{1}{5} + 1 \frac{5}{6} = 2 \frac{6}{30} + 1 \frac{25}{30} \\ \\ \frac{66}{30} + \frac{55}{30} = \frac{121}{30} \\ \\ \\ = 4 \frac{1}{30}$

I hope I helped you^_^

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2 years ago

a box of socks contain 5 white socks 3 grey socks 4 black socks and 1 blue sock. is Sophie closes her eyes and randomly pick two

pantera1 [17]

Answer:

3 out of 13 chance of getting grey socks

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3 years ago

Solve for g : 3+2g=5g-9

KiRa [710]

3+2g=5g-9
5g-2g=3+9
3g=12
3g/3=12/3
g=4

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2 years ago

Select all of the correct solutions for the following equation

zhuklara [117]

Answer: a,b, and c are the correct solutions

Step-by-step explanation:

You are substituting each (x,y) for the equation given. They must equal the same on both sides.

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2 years ago