We are given the steps that are laid to determine the value of x in the expression |2x -4| - 3 = 3. First step is to add 3 to both sides, then simplify, then determine x. The first incorrect step is step 1 since we add not subtract.

7 0

3 years ago

Read 2 more answers

A tuning fork is struck and oscillates in damped harmonic motion. The amplitude of the motion is measured, and 3 s later it is f

attashe74 [19]

Answer:

C=0.46 s⁻¹

Step-by-step explanation:

The general equation for the damped harmonic system given as

$y=Xe^{-Ct}sin\omega t$

Where

A= Amplitude

$A=Xe^{-Ct}$

C=Damping constant

Lets take at time t= t₁, A= K

And at time t= t₁+3 s ,A= K/4

$A=Xe^{-Ct}$

$K=Xe^{-Ct_1}$ -----------1

$\dfrac{K}{4}=Ke^{-C(t_1+3)}$ -------------2

From equation 1 and 2

$Xe^{-Ct_1}=Ke^{-C(t_1+3)}$

$1=4e^{-3C}$

$e^{3C}=4$

$C=\dfrac{1}{3}\ln4$

C=0.46 s⁻¹

7 0

3 years ago

Match each equation with a graph above:

Ann [662]

Answer:

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7 0

2 years ago