Answer:
There will be 200 000 bacteria after 8 hours
Step-by-step explanation:
The crop quadruples every hour.
x represents the number of hours that pass after preparing the crop
y represents the number of bacteria after x hours.
The equation for y in function of x 3 hours after observing the crop is:

We want to know after how long there will be 200 000 bacteria.
Then we make y = 200 000 and clear x.

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.

Evaluate the exponents

Evaluate the sum

Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.

Evaluate the quotient

Take the arc tan of both sides

Evaluate

Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
brainly.com/question/4931057
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Answer:
Option C
Step-by-step explanation:
Circumference of a circle is:

r - radius
We are given the radius of 3 inches.

Option C should be the correct answer.
Hope this helps!