Dr. Silas studies a culture of bacteria under a microscope. the function b1(t) = 500(1.6)^t represents the number of bacteria t hours after Dr. Silas begins her study. a) Is this exponential growth or decay? Explain how you know.

b) What does the value 500 represent in this situation?

c) The number of bacteria in a second study is modeled by the function b2(t) = 800(1.6)^t. What is the growth rate, r, for this equation? What does the difference of 500 and 800 mean between the two studies?

PLEASE HELP I REALLY NEED THE CORRECT ANSWERS AND QUICK! THANK YOU TO ANYONE WHO HELPS

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Julie begins counting backwards from 1000 by 2’s and at the same time tony begins counting forward from 100 by 3’s.   if they count at the same rate, what number will they say at the same time?