Answer:
C
Step-by-step explanation:
The number of people who have heard a rumor is modeled by the logistic function:
And we want how many days has passed since the rate at which the rumor spread began to decrease.
First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.
Recall that the point of maximum growth is always half of the maximum capacity.
In this case, that point will be 260/2 = 130.
For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:
Cross-multiply:
Distribute:
Solving for x:
Therefore:
Taking the natural log of both sides:
Therefore:
After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.
Answer:
The answer is
Step-by-step explanation:
4.3
Answer:
What are you doing?
Step-by-step explanation:
What’s that app?
Answer:
For number 14, the answer should be 100 degrees. For number 15, the answer is 80 degrees. For number 16, the answer is 120 degrees.
Step-by-step explanation:
For number 14, if a minor arc is 80 degrees, then the major arc should be 100 degrees to add to make 180 degrees. For number 15, you can see the size of the 70 degrees angle, AB. Because DE is bigger than AB, we can conclude that it is probably 80 degrees. For number 16, if XY, YZ, and ZX are all the same, and a circle always adds up to 160 degrees, then 360 divided by the three arcs is 120.
Answer:
Total number of vial = 44 vial (Approx.)
Step-by-step explanation:
Given:
Total amount of medicine in a case = 160 ounces
Amount of medicine in each vial = 11 / 3 oz
Find:
Total number of vial
Computation:
Total number of vial = [Total amount of medicine in a case / Amount of medicine in each vial]
Total number of vial = 160 / [11/3]
Total number of vial = 160 / 3.667
Total number of vial = 43.63
Total number of vial = 44 vial (Approx.)