Answer:
d. 20+10+5+2.5+...
Step-by-step explanation:
No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.
Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)
Answer:
The gradient of the line joining the points and is .
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (), that is:
(1)
If we know that and , then the gradient of the line is:
The gradient of the line joining the points and is .
Answer:
C
Step-by-step explanation:
4.5/32=x/54
Answer:
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>
<u></u>
Step-by-step explanation:
You have the following function:
To know what is the factor that multiplies the mass of the sunfish each day, you derivative the function M(t):
(1)
where you have used the following general derivative:
The derivative give you the increase in the mass per day (because t is days). By the expression (1) you can conclude that each day the mass increase a factor of [ln(1.34)/6].
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>