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3 years ago

Factor 24a^2b + 18abc

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

24a^2b + 18abc
=6ab(4a + 3c)

Hope this helps! :)

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remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a propor

sdas [7]

Answer:

remy would be correct

Step-by-step explanation:

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3 years ago

A 90% confidence interval for a proportion is found to be (0.62, 0.68). What is the sample proportion?

Ludmilka [50]

Answer:

B. 0.65

Step-by-step explanation:

Sample proportion is the point estimate of the population proportion which is at the centre of the interval

(0.62+0.68)/2

1.30/2

0.65

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3 years ago

Read 2 more answers

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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2 years ago

A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the

vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

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3 years ago

What is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x

PolarNik [594]

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

4x +2 = - 6x + 7

4x + 6x = 7 - 2

10x = 5

x = 1/2

5 0

2 years ago