1. a scientist is observing the reproduction of a certain bacteria. on monday, she started with 2 bacteria and the number of bacteria doubled each day. how many bacteria will there be on saturday? (a) what is the total number of bacteria in exponential form? (b) explain how to change from exponential form to simplified form. (c) what is the total bacteria in simplified form?

y = 2^6  bacteria on Saturday

y = 64 bacteria

Step-by-step explanation:

The formula for exponential growth is

y = a b^x

where

y =  a is the initial value and b is the growth rate

y = 2 *2^x

Monday is day 0

So Saturday is Day 5

y = 2 * 2^5

y = 2 * 32

y =64

y = 2^6  bacteria

There are 64 bacteria on Saturday

We can simplify the formula since the initial value and the growth rate are the same

y = 2 * 2^x

We know  a^b * a^ c = a^ (b+c)

y = 2^1 * 2^x

  = 2^ (x+1)

  = 2 ^ (5+1)

  = 2^6

= 2*2*2*2*2*2

   =64 bacteria

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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