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3 years ago

If y varies directly as x and y is 400 when x is r when x is 4 what is the numeric constant of variation in this relation

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer: y is 100 times what x is.

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An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases.Write an equation to find how many pounds is

Helga [31]

11.94-6.99=4.95 4.95÷.55=9 9 pounds

4 0

3 years ago

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Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin

icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

$\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}$

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

$y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}$

$y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}$

$y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}$

It is linear differential equation because this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

$y'+P(x)y=g(x)$

$P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}$

$\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}$

Homogeneous equation

$\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}$

Degree of f and g are same.

$f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x$

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0

3 years ago

400÷6= show how you get 66r6

Aleksandr [31]

Answer:

0 6 6

6 ⟌ 4 0 0

- 0

4 0

- 3 6

4 0

- 3 6

Step-by-step explanation:

8 0

3 years ago

Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them t

scoray [572]

350 + 4x = 750

x = the amount the fee went up annually.

4x = 750 - 350
4x = 400
x = 400/4
x = 100

The rate of change is 100 dollars per year. The initial value of her business is 350 dollars. To check your work (aka how do you know) if you add 100 dollars to her initial value (350) 4 times you get 750.

4 0

3 years ago

Please Help i got a Test Tommaro Thank u!

pentagon [3]

Answer:

The length is 39.6 feet.

Step-by-step explanation:

Since the area is lw, we make this an equation. The width is already known, it's 26.2. So make a single variable equation: 26.2w=1037.52

dividing both sides by 26.2 gives you the answer of 39.6.

Hope this helps!

7 0

3 years ago

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