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3 years ago

Solve for a -1/4a-4=7/4a-3

1 answer:

3 0

Add 1/4a to both sides
-4= 8/4a-3

Simplify
-4=2a-3

Add 3 to both sides
-1=2a

Divide both sides by 2
-1/2=a

Final answer: a=-1/2

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(5×10 exponent 8)/(2×10 exponent 6)

iogann1982 [59]

500,000,000 and 2,000,000

10 exponent 8 is 100000000 because it has 8 0s
multiply that by 5 to get 500,000,000

10 exponent 6 is 1000000 because it has 6 0s
multiply by 2 to get 2,000,000

3 0

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

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

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

2 years ago

Find the slope from the table below.

lorasvet [3.4K]

Slope for the function is -1/3.5.

6 0

3 years ago

Read 2 more answers

PLEASE HELPP!!!!!!

frosja888 [35]

Answer:

1:144

Step-by-step explanation:

if each floor is 15 feet, the whole building is 60 feet tall. so it does have a scale of 5 inches:60 feet but if you simplify that, its 1 inch: 12 feet, so you convert feet into inches by multiplying by twelve, which gives you a scale of 1:144 inches

3 0

3 years ago

Read 2 more answers

.01mg is larger than .001g true or false

zloy xaker [14]

Answer

False

Step-by-step explanation:

3 0

3 years ago