Answer:
Part 1
Multiply both sides by 2π
2πf = √(g/L)
Square both sides
4π²f²= g/L
Invert both sides
1/(4π²f²) = L/g
Multiply both side by g
g/(4π²f²) = L
We usually write an equation with the subject (L) n the left
L = g/(4π²f²)
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Part 2
Using the above equation with the given values:
L = g/(4π²f²)
. .= 9.8 / (4π² x 1.6²)
. .= 0.097m (= 9.7cm)
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By the way, where it says
“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”
this should say
“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”
Step-by-step explanation:
Answer:
Slope: 2
y = 2x + 50
Step-by-Step Solution:
Slope: rise/run = 40/20 = 4/2 = 2
y = mx + b
m= slope = 2
b= y-intercept = 50
y = 2x + 50
The probability that they will win their next three games is 51.2%.
The chance that they win is 80%. To find the probability that they win 3 games in a row, we just have to multiply 80% by itself 3 times.
0.8 x 0.8 x 0.8 = 0.512 = 51.2%
Answer:
Step-by-step explanation:
First, start off by solving for the slope using this formula:
Then, plug in the values: 
Solve the equation: 
That's your slope.
Then plug in one of the coordinates given in the problem for x and y and solve this equation:
y=x+b
Hope that helped!!! :)
Maybe 8? I'm not 100% sure
