Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function
. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.

Upon substituting our given values, we will get:






Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
Answer:
Step-by-step explanation:
<u>Given line:</u>
It has a slope of 2/3.
<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>
<u>Find its equation provided it passes through the point (4, - 2):</u>
- y - (-2) = - 3/2(x - 4)
- y + 2 = - 3/2(x - 4)
Hello! I can help you! First things first, because they are both the same angles on opposite sides, let's set this up in the form of an equation and solve for "x". It would be set up like this:
2x + 20 = 3x - 30
You see up top that it says 2(x + 10). What you would do is multiply what's in the parenthesis by 2, in order to get 2x + 20. Then put the equal sign and write 3x - 30. Subtract 3x from both sides to get -1x + 20 = -30. Subtract 20 from both sides to get -1x = -50. Divide each side by -1 to isolate the "x". In this case, because you are dividing a negative number by a negative number, your quotient will be positive. -50/-1 is 50. Let's plug in the value as "x" and see if it works. 50 * 2 is 100. 100 + 20 is 120. 50 * 3 is 150. 150 - 30 is 120. 120 = 120. There. x = 50.
16/2
According to PEMDAS
Multiplying/dividing comes first when you read the equation from left to right
Answer:
15
Step-by-step explanation:
ya can't repeat numbers in a function