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3 years ago

5

Write a ratio for each situation in three ways .between 1899 and 1900,284 out of 1000 people in the united states were 5 to 17 y

ears old

1 answer:

Tanya [424]3 years ago

4 0

5:17, 1899 to 1900, 284/1000

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given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0

jonny [76]

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx$
$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
$\implies \dfrac12y^2=x^3+2x^2+C$

When $x=1$ you have $y=\sqrt{10}$ , so

$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

and so the particular solution to the ODE is

$\dfrac12y^2=x^3+2x^2+2$

Then when $x=0$ , you get

$\dfrac12y^2=0^3+2(0)^2+2=2$
$\implies y^2=4$
$\implies y=2$

where we omitted the negative root because it's given that $y>0$ .

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3 years ago

Find two negative consecutive odd integers whose product is 143

Likurg_2 [28]

The answer is -11 and -13

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3 years ago

What is 3 times the sixth power of 10

sergey [27]

3000000...........
10^6 =1000000 (3) = 3000000

7 0

3 years ago

Read 2 more answers

Determine how many solutions if correct bainliest

PolarNik [594]

Answer:

No solutions

Step-by-step explanation:

6x+2y=20

-3x-y=-4 (by rewriting)

So

6/-3 = 2/-1≠20/-4

-2=-2≠-5

So it has no solutions

5 0

3 years ago

Find the area of the triange below<br><br>units given are cm, cm^2, cm^3

notsponge [240]

Answer:

$A=150\ cm^2$

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

$A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2$

So, the area of the triangle is equal to $150\ cm^2$ .

4 0

3 years ago