Warm-Up A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the number of cells, y, in the
colony over time, x, in hours.
Time, x (hours) Number of Cells, y
0
100
1
200
2
400
h
6,400
Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
A(b)^x = y

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

attachment?

step-by-step explanation:

2x + 8

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week