You are right in thinking that the base of the logarithm doesn't matter. It only affects the spread of the data points if you were to plot them, but would not ultimately have any effect on the slope of the line (but it would on the y-intercept).
One major discrepancy I'm noticing is in the values you found for 
. For example, if 
, then you should have 
. Not sure how you got -7.0, and the same goes for the rest of your table of values.
Another thing is that the provided solution suggests you take the average the first and last pairs of consecutive data points, and use these values in the slope formula to obtain the best-fit line's slope. If that's the case, then you should have
(i.e. you have to take the average of the given values, then use those averages in the 
expressions - but this doesn't significantly affect the slope you found)
Ultimately, I think the problem is that your expression for the slope appears to be 
, when the solution says it should be the reciprocal. I'm of the opinion that your slope is correct, since the experiment refers to 
(and hence 
) as the independent variable, and so 
would serve as the "run" and 
would serve as the "rise".
The answer is 2/9. you just cross multiply then multiply straight across
Answer:
76˚
Step-by-step explanation:
All angles of a triangle total up to 180˚ so we can make this equation:
x - 14 + 1/2x + 7 + 2x - 128 = 180
3.5x - 135 = 180
3.5x = 315
x = 90
Angle A is x - 14
90 - 14
76
Answer:
its gonna be 22.20
Step-by-step explanation:
Because you like to divide the first number and multiply it by the second
9514 1404 393
Answer:
(x -7)(7x +4)
Step-by-step explanation:
The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...
(7)(-28) = (4)(-49)
7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)
