Answer:
The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Step-by-step explanation:
Given the equation
-----------Equation 1
where d, in inches of the pendulum of a grandfather clock from the center.
Comparing with the standard equation of an oscillating pendulum bob.
----------Equation 2
where ω = angular velocity
t = time taken
α = The angular displacement when t = 0
Comparing equation 1 and 2,
α = 0
Recall that ![w = 2\pi fTherefore,[tex]2\pi f = \frac{8\pi }{5} \\\\f = \frac{4}{5}](https://tex.z-dn.net/?f=w%20%3D%202%5Cpi%20f%3C%2Fp%3E%3Cp%3ETherefore%2C%3C%2Fp%3E%3Cp%3E%5Btex%5D2%5Cpi%20f%20%3D%20%5Cfrac%7B8%5Cpi%20%7D%7B5%7D%20%5C%5C%5C%5Cf%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
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f = 0.8 Hertz
Recall that 
T = 1.25 seconds
Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Given:
1st recipe
y = 16x + 560
where x is the number of teaspoons of sugar ; y is the total number of calories
2nd recipe
tsps of honey 1 2 4 7
total calories 504 568 696 888
There are 16 calories in a teaspoon of sugar.
There are 64 calories in a teaspoon of honey.
568-504 / 2 - 1 = 64/1
696-568 / 4 - 2 = 128/2 = 64
888-696 / 7 - 4 = 192/3 = 64
3 13/20 yards.
Make 1 1/4 to 1 5/20
make 2 2/5 to 2 8/20
Add them together and get the answer!
Answer:
The other dimension of the sandbox must be (4x+3).
Hope this helps! Have a good day!
Answer:
2nd answer choice
Step-by-step explanation:
One way of doing this problem is to switch over to fractional exponents first.
The given product can be thought of as a square:
the square of (fifth root of 4x^2)
= [ fifth root of 4x^2 ]^2, or
= [(4x^2)^(1/5) ]^2, or
= [ (4x^(2/5) ]^2, or
= 16x^(4/5) This is equal to the 2nd answer choice.
