PLEASE HELP Dr. Silas studies a culture of bacteria under a microscope. The function represents the number of bacteria t hours after Dr. Silas begins her study. (a) What does the value 1200 represent in this situation? (b) What does the value 1.8 represent in this situation? (c) The number of bacteria in a second study is modeled by the function b₂(t) = 1000(1.8)^t What does the value of 1000 represent in this situation? What does the difference of 1200 and 1000 mean between the two studies?

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

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