The specific heat of a solid Y is 11.5 cal/g°C. A sample of this solid at 135 K is heated to 260 K. The solid absorbs 7.90 kcals. What is the
sample of solid in grams?

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.

ratio is 2 : 9

the answer is three

13.5 : 3