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3 years ago

What is 3(1+6r)=14-12

Mathematics

1 answer:

olasank [31]3 years ago

7 0

Answer:

Step-by-step explanation:

3(1+6r)=14-12 Write out formula.

3+18r=2 Distributive Property Form.

(3-3)+18r=2-3 Subtract 3 to both sides.

(18/18)r=-1/18 Divide both sides by 18

r=0.055555..... or -1/18.

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

The lines below are parallel. If the slope of the solid line is –3, what is the slope of the dashed line?

stepladder [879]

Answer:

-3

Step-by-step explanation:

parallel lines always have the same slope, the y-intercepts will differ

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Oksana_A [137]

Answer:

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Step-by-step explanation:

To find the measure of the sum of the interior angles use the formula (n-2) times 180 where n is the number of sides.

A quadrilateral has 4 sides. (4-2) times 180. 2 times 180=360

The sum of the interior angles of a quadrilateral is 360.

x+47+95+82=360

x+ 224 = 360

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Mekhanik [1.2K]

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