Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d

Response: The accurate statements include:-

There are nearly equal quantities of points located above and below the x-axis.

The points are distributed haphazardly without a distinct pattern.

The total number of points matches that of the scatter plot.

Explanation:

• A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.

Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.

Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.

A.) P(t) = P0e^(kt)
P(20/60) = 40 e^(20k/60)
80 = 40 e^(k/3)
e^(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)

b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells

d.) Rate of change = e^(8k) = e^(8(3ln(2))) = e^(24ln(2)) = e^(16.6355) = 16777216 cells/hour

e.) P(t) = 40(2)^(3t); t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours

Answer:

you can compute the average by splitting the results by the exam duration and arriving at your answer

Step-by-step explanation:

To plot the two functions, you need to assign values for x. By selecting various x values, corresponding y values are calculated. You then plot the points as shown. The blue line illustrates the function f(x) = 3x, while the orange line indicates f(x) = -x + 4.

These two lines intersect at the coordinates (1,3). To solve for this analytically, we establish the system of equations:

y = 3x
y = -x + 4

By setting these two equations for y equal to each other:

3x = -x + 4
4x = 4
x = 1

Next, substituting x into one of the original equations gives us: y = 3x = 3(1) = 3. Therefore, the solution is (1,3), meaning at a temperature of 3 units, the number of visitors entering matches those exiting the zoo, indicating a balance of one person entering for each one leaving.