Your weight on different planets is affected by gravity. anobject that weighs 150 lbs on earth weighs only 56.55 lbs on mars. the same objects weighs only 24.9 lbs on the moona. what percent of an object's earth weight is its weight on mars and on the moon? b. suppose x represents an object's weight on earth. write two expressions: one that you can use to find the object's weight on mars and another that you can use to write the object's weight on the moon.

 Your weight on different planets is affected by gravity.An Object that weighs 150 lbs on Earth weighs only 56.55 lbs on Mars. The same objects weighs only 24.9 lbs on the moon a. What percent of an object's Earth weight is its weight on Mars and on the Moon? b. suppose x represents an object's weight on earth. Write two expressions: one that you can use to find the object's weight on Mars and another that you can use to write the object's weight on the Moon.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer

1 number

explanation

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.