The table represents some points on the graph of the exponential function that models the radioactive decay of a
sample of xenon-135.
Xenon-135 Sample
Time, x
(hours)
Mass, y
(grams)
0
70
4.6
49.5
9.2
35
13.8
24.7
18.4
17.5
Which statement about the graph of this function is true?

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.