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2 years ago

Please answer I will make you brainliest

Mathematics

1 answer:

gtnhenbr [62]2 years ago

7 0

Answer:

3 times as great

Step-by-step explanation:

The most amount of water is 3/4 full

The least amount of water 1/4 full

To get from 1/4 to 3/4, you multiply by 3:

$\frac{1}{4} * \frac{3}{1} = \frac{3}{4}$

(I made 3 into 3/1 to show how you multiply across easier)

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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

Are the equations sometimes, always, or never true?

AURORKA [14]

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2x + 11 = 2x + 11
always true

2x + 3(4x - 1) = 2(5x + 3) + 4x
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3 years ago

On the first day of your garage sale, you earned 12x+9 dollars. The next day you earned 22x dollars. Is it possible you earned t

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No, no value for x will result in you getting the same amount of money
I.e. on the first day if x =2 you earn 33. on the second day you would've earned 44. Of course this may be wrong so best to double check

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3 years ago

Express 4x^2-25 as a product of two binomials.

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4x^2-25= (2x)^2-5^2=(2x-5)(2x+5)

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3 years ago

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aleksandr82 [10.1K]

68 degrees the reasoning would be because of corresponding angles

I hope this helps!

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3 years ago