1. 
- Cone
2. 
- Sphere
3. 
- Cylinder
4. 
- Pyramid
5. 
- Prism
Solution:
1.
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere = 
where r is the radius of the sphere.
3.
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.
Hello from MrBillDoesMath!
Answer:
One solution (z = -1)
Discussion:
-2(z+3)-z=-z-4(z+2) =>
-2z -6 -z = -z -4z - 8 =>
-3z -6 = -5z -8 => add 6 to both sides
-2z = -5z -2 => add 5z to both sides
3z = -5z +5z -3 =>
3z = -3 =>
z = -1
Thank you,
MrB
3/8=9/24 and 1/6=4/24
9/24+4/24=13/24
Paula spent 13/24 of her allowance on other items.
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
-3.62 is greater than -29/8
