There are ways of building a subset of
elements from
, so the total number of subsets you can build is
Recalling the binomial theorem, the above sum is equal to
as required.
Your group has 10 pennies and 10 nickels. Use these pennies and nickels to solve the following problems.
1 answer:
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Answer:
The real solutions of f(x)=0 are: 0, 2, 5, 6
Step-by-step explanation:
We are given:
The graph of y = f(x)
We need to find all of the real solutions of f(x) = 0?
By looking at the graph we need to find the values of y when x =0
Looking at the graph, when x=0 we get
0, 2,5 and 6
So, the real solutions of f(x)=0 are: 0, 2, 5, 6
I am attaching the figure, that determines the answers.
Answer:
Area of sidewalk =
Bags of concrete = 277
Step-by-step explanation:
The diameter of the circular fountain is 28 ft. Radius = 28 / 2 = 14 ft
The thickness of the sidewalk is 3.5 ft. This means they want to add 3.5 ft to each radius of the fountain.
To find the area of the sidewalk alone, we have to find the area of the sidewalk alone and then subtract it from the area of the sidewalk and fountain.
That is:
The fountain is circular and its radius is 14 ft. Hence, its area will be:
The sidewalk and fountain together also form a circular shape. Their joint radius will be:
R = 14 + 3.5 = 17.5 ft
Hence, the area will be:
Hence, the area of the sidewalk alone will be:
This is the area of the sidewalk.
For every square foot (), 0.8 bag of concrete will be used. This means that for
:
Bags of concrete = 0.8 * 346.5 = 277.2 ≅ 277
At least 277 bags of concrete will be used for the new sidewalk.