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3 years ago

350 students at the middle school ride the bus home and 50 of them walk home. What percent of students walk home?

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

14.29%

Step-by-step explanation:

calculate the fraction by dividing it, then multiply that fraction value by 100 and add a precent sign, thats about it

50/350 = 0.14285714285

0.14285714285 x 100 = 14.2857142857

round it and get 14.29

add a percentage sign and tadaa!

14.29%

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3 years ago

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

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