Answer: The number of different combinations of 2 vegetables are possible = 15 .
Step-by-step explanation:
In Mathematics , the number of combinations of selecting r values out of n values = 
Given : Number of available vegetables = 6
Then, the number of different combinations of 2 vegetables are possible will be :

Hence , the number of different combinations of 2 vegetables are possible = 15 .
Answer:
49.5 mi
Step-by-step explanation:
Area of a triangle is A = (height) X (base) / 2
So if you plug in the numbers you get:
806.9 = (32.6) X (base) / 2
1613.8 = (32.6) X (base)
1613.8 / 32.6 = base
base = 49.5 mi
Answer:
A is the inverse function,
Step-by-step explanation:
Given:
Replace f(x) by f(x - h).
To find:
The effect on the graph of replacing f(x) by f(x - h).
Solution:
Horizontal shift is defined as:
If the graph f(x) shifts h units left, then f(x+h).
If the graph f(x) shifts h units right, then f(x-h).
Where, h is a constant that represents the horizontal shift.
In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.
Here, we have x-h in place of x.
Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

For this formula, we need the radius of the sphere. Divide the diameter by 2:

The radius is 9 inches. Plug this into the equation:

Simplify the equation:

Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.