V of cylinder = pi • radius^2 • height
V of cone = pi • radius^2 • height divided by 3
find the cones volume then the cylinders combine and add them for the total
Lets say that integer is x so its consecutive number is x+1.
x+ 7+4(x+1)=66
x+7+4x+4=66
5x+11=66
5x=55
x=11
next number is 12
To find the area of a quarter circle, you simply take a quarter of a full circle. As all quarters are equal, this means that the formula would be <span><span>π<span><span>r2</span>4</span></span><span>π<span><span>r2</span>4</span></span></span><span>. But wait, there's more. If you notice, </span><span><span>π<span><span>r2</span>4</span>=π<span><span>r2</span>2</span></span><span>π<span><span>r2</span>4</span>=π<span><span>r2</span>2</span></span></span><span>. This coincides with the circle formula, just with half the radius. Notice anything? A quarter of a circle can be calculated in the same way a circle a quarter the size can. This means that a quarter circle is equal to a circle a quarter size. In this same way, a ninth of a circle is equal to a circle of one ninth the size.</span>
Get multi calculator you can scan those problems and it gives you the awnser
<span><span>PART A) the initial value of the function is 150 at 0 weeks, that means that there are still 150 songs to be downloaded at the beginning.
</span> The rate of change is -30 songs each week, that is because the amount of songs left to be downloaded decrease by 30 each week.</span>
<span><span>PART B:
</span><span> lets use 2 points of the graph p1(0, 150), p2(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
m = -30
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150</span></span>
