Ascientist running an experiment starts with 100 bacteria cells. these bacteria double their population every 15 hours. find how long it takes for the bacteria cells to increase to 300.

Answer

It will take (t) = 24 hours to reach 300 .

Step by step explanation

It doubles every 15 hours.  initial bacteria = 100

We need to find how long it take for the bacteria cells to increase to 300.

300 = 100(2)^t/15

300/100 = 2^t/15

3 = 2^t/5

Taking "ln" both sides, we get

ln(3) = t/15 ln(2)

t/15 = ln(3)/ln(2)

t/15 = 1.585

t = 1.585 * 15

t = 23.78 hours

t = 24 hours to nearest whole hours.

Thank you.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.