Answer: A
Step-by-step explanation:
(c-2d)(3c-2d)
= 3c^2 - 8dc + 4d^2
<h3>Answer:</h3><h3>41</h3><h3>Step-by-step explanation:</h3><h3>multiplication and addition</h3><h3>5x4=20</h3><h3>7x3=21</h3><h3>20+21=41</h3>
Answer:
Number 3 has no solution
Step-by-step explanation:
First you need to divide both sides of the equation 12x - 12y = -12 by 4
-3x + 3y = -3
12x - 12y = -12
-3x + 3y = -3
3x - 3y = -3
Then you need to eliminate one variable by adding the equations.
0 = -6
this statement is false, and therefore has no solution.
<span>From the message you sent me:
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

Why does this work? Initially, you start with 500 mL of air that you breathe in, so

. After the second breath, you have 12% of the original air left in your lungs, or

. After the third breath, you have

, and so on.
You can find the amount of original air left in your lungs after

breaths by solving for

explicitly. This isn't too hard:

and so on. The pattern is such that you arrive at

and so the amount of air remaining after

breaths is

which is a very small number close to zero.</span>
(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