Answer:The equation relating I, r, and k is I =K/r²
Step-by-step explanation:
The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as
I ∝ 1/r²
Introducing the constant of proportionality, K we have that
I =K x 1/r²
Therefore , the equation relating I, r, and k is I =K/r²
Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
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To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
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Problem 8)
The answer is choice B) 5
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Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10
Answer:
Step-by-step explanation:
Given
Required
The length of the diagonals
First, calculate the length of AB using:
So, we have:
The diagonal of a square is calculated using:
Where x is the length of each side.
So:
-- approximated
Answer:
D.34
Step-by-step explanation:
Let's the A be the 20th board counting from the top of the stack, and B be the 16th board counting from the bottom of the stack. If A is immediately below B, this means B is the 19th board counting from the top of the stack, and also there are 18 other boards that are above B. So the total number of board in the stack would be
16 + 18 = 34
D is the correct answer
I'll give you the equation with the problem's plugged in, but not the answer.
Formula: Volume = Base x Height
1. B= 5 in; H= 6 in; 5 x 6 = ?
2. B= 54 m; H= 5 m; 54 x 5 = ?
