Hi!
3x - 30 = x + 10
<h3>Solve by isolating x on one side. </h3><h3>Add 30 to both sides. </h3>
3x - 30 + 30 = x + 10 + 30
3x = x + 40
<h3>Subtract x from both sides. </h3>
3x - x = x - x + 40
2x = 40
<h3>Divide by 2 on both sides</h3>
2x/2 = 40/2
<u>x = 20</u>
<h2>The answer is x = 20</h2>
Hope this helps! :)
-Peredhel
(a) First find the intersections of

and

:

So the area of

is given by

If you're not familiar with the error function

, then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.
(b) Find the intersections of the line

with

.

So the area of

is given by


which is approximately 1.546.
(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve

and the line

, or

. The area of any such circle is

times the square of its radius. Since the curve intersects the axis of revolution at

and

, the volume would be given by
Answer:
The overall reliability of the system is 99.9952%
Step-by-step explanation:
Probability of the system not working:
None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So
0.02*0.04*0.06 = 0.000048
Probability of the system working:
1 subtracted by the probability of the systme not working.
1 - 0.000048 = 0.999952
0.999952*100% = 99.9952%
The overall reliability of the system is 99.9952%
Answer:
21,600
Step-by-step explanation: