Answer:
3 hours
Step-by-step explanation:
We can solve using ratios
18 lbs 12 lbs
------------ = --------------
4.5 hrs x hours
Using cross products
18x = 12 * 4.5
18x = 54
Divide by 18
18x/18 = 54/18
x=3
Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
The value of h is exactly the axis of symmetry. So when h changes, it completely changes the line of symmetry. This is because the vertex is (h, k) and the x value of the vertex is always equal to the line of symmetry in a quadratic.
Changing the k value does nothing to the line of symmetry. This is because it is just moving the graph up and down, which doesn't change the symmetry of a parabola.
You need to multiply the volume of a cone by 3 to get the volume of its corresponding cylinder (a cylinder with the same base radius and perpendicular height).
As in:
Vol. of a cylinder= πr²h
and Vol. of a cone= ⅓πr²h
So assuming volume of a cone is ⅓V, then the volume of the cylinder will be ⅓V × 3 which equals V.
