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3 years ago

Which function below has the following domain and range?

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

{(2,0),(-5,1),(7,8),(6,0),(-7,1)

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Jennifer uses a coupon for 20% off her order. is the total was 18$ how much money does she save

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Answer: her new total is $14.40

And she saved $3.60

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

If an object has a Mass of 11g and a volume fo 13mil, what is its density?

tino4ka555 [31]

Step-by-step explanation:

Mass (m) = 11 g

volume (v) = 13 ml

density (d) = ?

We know density is defined as mass per unit volume so

d = m / v

= 11 / 13

= 0.85 g/ml

Density (d) = 0.85 g/ml

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If you get $2,000 for graduation gifts and invest it in an account that earns 1.5% interest

Eduardwww [97]

Answer:

It is VERY important to use the attached formula.

Years = ln (Total / Principal) / rate

Years = ln (6,000 / 2,000) / rate

Years = ln (3) / rate

Years = 1.0986122887 / .015

Years = 73.24 years

This takes a LONG time because the interest rate is extremely low.

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3 years ago

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Answer:

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