Someone please help me with this, it’s due tomorroww I need someone experttt

59 minutes

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of bacteria.

t represents the doubling time.

From the information given

a = 10000000

t = 20 minutes

Since after 20 minutes, the population doubles, then

y = 2 × 10000000 = 20000000

Therefore

20000000 = 10000000 × b^20

2 = b^20

Raising both sides of the equation by 1/20, it becomes

2^(1/20) = b

The equation becomes

y = 10000000 × 2^(1/20)×t

y = 10000000 × 2^(t/20)

Therefore, the time it will take to get to 67 million microbes would be

67000000 = 10000000 × 2^(t/20)

67000000/10000000 = 2^(t/20)

6.7 = 2^(t/20)

6.7 = 2^(0.05t)

Taking log to base 10 of both sides, it becomes

Log 6.7 = 0.05t log 2

0.826 = 0.05t × 0.301

0.01505t = 0.826

t = 0.826/0.01505

t = 54.88

t = 59 minutes

.mp4 files, because, video

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.