Amedical researcher wants to determine the effect of ph (a measure of alkalinity or acidity, with pure water having a ph of 7) on the growth of a bacteria culture. the data provided to you below represents the measurements of different cultures (in thousands of bacteria) after 8 hours.

10 miles

step-by-step explanation:

the answer will be the last one

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.