Which could be a binomial expansion of (4x + y)? 16x2 + xy + y2
16x2 + 4xy + y2
64x3 + 16x²y + 5xy2 + y3
64x3 + 48x²y + 12xy2 + y3

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

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.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed