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:
B
Step-by-step explanation:
The <u>sample space</u> for this experiment is the set of all possible outcomes.
A student rolls a number cube whose six faces are numbered 1 through 6.
Therefore, all possible outcomes are:
- rolled number 1;
- rolled number 2;
- rolled number 3;
- rolled number 4;
- rolled number 5;
- rolled number 6.
Hence, the sample space is {1, 2, 3, 4, 5, 6}
Ten thousand your welcome
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.
Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r
Total spend, s(r): 30 + 2r
Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation
Standard form: s(r) is the dependent variable = s
s = 30 + 2r => s - 2r = 30 =>
s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form
Answer:
<DEB= 125 degrees
Step-by-step explanation:
To get this, you would need to know all 2 angles of the triangle.
To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).
Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).
You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.
<DEB=125 degrees.
