Given that in arithmetic sequence a=5 and common difference, d=4. Thus the number of terms of this sequence that must be added to attain 4185 will be found as follows:
the explicit formula for arithmetic sequence is given by:
sn=n/2(2a+(n-1)d)
where n is the number of terms:
thus plugging in the values we get:
4185=n/2(2*5+(n-1)4)
solving for n we get:
8370=(10+4n-4)
8370=(6+4n)
4n=8364
n=8364/4
n=2091
thus the number of terms will be:
2091
Answer:

Step-by-step explanation:
Given the equation

This equation consists of two parts. In the left part, there is a logarithmic function
In the right part, there is a linear function 
To solve the equation graphically, you have to plot the graphs of these two functions and find the point of intersection of these graphs.
Hence, appropriate system is

Answer:
the graph is attached below
Step-by-step explanation:

LEts make a table to get the coordinates
we need to select integers between -3 and 3
x y=x^2 - 2
-2 y=(-2)^2-2=2 (-2,2)
0 y= (0)^2 - 2= -2 (0,-2)
2 y=(2)^2-2 = 2 (2,2)
Now we use the table for graphing the given equation
The graph is attached below
Answer:
35/100
Step-by-step explanation:
P(green or black) = 3/20 + 4/20 = 7/20
7/20 = 35/100
Answer:
All three functions have the same minimum
Step-by-step explanation: