Answer:
3
Step-by-step explanation:
There are a total of 18+22 = 40 people with birds. There are a total of 18+25 = 43 people with rabbits.
This is a difference of 43-40 = 3 people.
The point-slope form:
We have the point (1, 6) and the slope m = 7/3. Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>multiply both sides by 3</em>
<em>subtract 7x from both sides</em>
<em>change the signs</em>
Answer:
point-slope form:
slope-intercept form:
standard form:
Answer:
72.24
Step-by-step explanation:
Price for each camera = 14
Number of camera = 2dozen = 12 x 2 = 24
Total cp = 24 x 14 = 336
~~~~~~~~~~~~~~
Price for each camera= 10.99
Number of cams = 24
Total sp = 10.99 x 24 = 263.76
Loss = 336 - 263.76 = 72.24
<span>since sin and cos = each other at pi/4; take your integrals from 0 to pi/4
</span><span>[S] cos(t) dt - [S] sin(t) dt ;[0,pi/4]
</span>
<span>to revolve it around the x axis;
we do a sum of areas
[S] 2pi [f(x)]^2 dx
</span>
<span>take the cos first and subtract out the sin next; like cutting a hole out of a donuts.
</span><span>pi [S] cos(x)^2 dx - [S] sin(x)^2 dx ; [0,pi/4]
</span>
<span>cos(2t) = 2cos^2 - 1
cos^2 = (1+cos(2t))/2
</span>
<span>1/sqrt(2) - (-1/sqrt(2) +1)
1/sqrt(2) + 1/sqrt(2) -1
(2sqrt(2) - sqrt(2))/sqrt(2) = sqrt(2)/sqrt(2) = 1</span>
Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35
Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25
Hope this helps!
