Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. An experiment was conducted in which accelerometers were placed on the Golden Gate Bridge for the purpose of estimating vibration modes. The study measured damping ratios and frequencies (in Hz) for vertical modes. The data are as follows:
Damping Ratio Frequency(Hz) Damping Ratio Frequency (Hz)
0.3 2.72 0.3 2.84
0.3 3.77 0.4 2.07
0.4 2.20 0.4 2.34
0.4 2.61 0.5 1.80
0.5 1.93 0.5 1.53
0.6 0.77 0.6 1.26
0.7 1.66 0.7 0.89
0.7 1.00 0.8 0.66
a. Construct a scatterplot of frequency (y)versus damping ratio (x). Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting frequency from damping ratio. Round the answers to three decimal places.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

answer:      

step-by-step explanation:

true

step-by-step explanation:

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