3 years ago

A farmer took 2/3 of the strawberries that he harvested to a market. At the market, the farmer sold 1/4

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer: If you are wondering how much he has left, there are 4/25 strawberries left

Step-by-step explanation:

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

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3 years ago

Estimate: 9,010 - 99<br> 9400<br> 8900<br> 9200<br> 8700

Softa [21]

Answer:

yo mama

Step-by-step explanation:

lol

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3 years ago

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Jerome has a job that requires a clean shirt every day. It cost $1.25 to have a shirt washed and ironed. What is the cost for cl

Naily [24]

Answer:

$6.25

Step-by-step explanation:

1.25 x 5 = 6.25

it´s the cost times how ever many days

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4 years ago

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The slope please. it must be one of the four options.

Mazyrski [523]

The answer to the question is a

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4 years ago

If √2x - 1 + 2=5, then x is equal to?

aliya0001 [1]

Answer:

x = 5

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

x = 5

This was done assuming that 2x-1 was under the radical and that +2 wasn't.

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3 years ago