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3 years ago

6

Kyle has a notebook for each of his 5 classes. he puts 6 stickers on each notebook. there are 10 stickers on each street. how ma

ny sheets of stickers will kyle use? write an equation to solve. use a variable for the unknown

1 answer:

larisa86 [58]3 years ago

3 0

Well if he puts 6 on each of the 5 notebooks, you'd do 5*6 and get 30. If 10 are on each sheet you'd do 30/10 & end up with 3 sheets of stickers :)

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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

(8x4)+3. What is the answer<br> 6

Yuri [45]

Answer:

Step-by-step explanation:

Remember PEMDAS

multiply 4 and 8

32+3

add 32 and 3

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5 0

2 years ago

Read 2 more answers

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allsm [11]

Answer:

4 hours

Step-by-step explanation:

y= 40x +225

$385 money to spend - $225 that go for hard drive = $160

40* x can be maximum 160 so x= 160 /40= 4

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2 years ago

15) If the point (6, 3) is rotated 180° clockwise about

dalvyx [7]

Answer:

B. (-2, 15)

Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units <em>west</em><em> </em>then nine units <em>south</em><em> </em>[0, 0]. Now, the same goes for [6, 3]. Translate it two units <em>west</em> then nine units <em>south</em><em> </em>to get [4, -6]. Then, according to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the x-coordinate and y-coordinate:

[4, -6] → [-4, 6]

Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks <em>north</em><em> </em>then 2 blocks <em>east</em>:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

I am joyous to assist you anytime.

8 0

2 years ago

PLEASE HELP! THANK U

likoan [24]

Answer:

-26!!!! :))))

Step-by-step explanation:

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2 years ago