O_o Whhhhaaaaat?? How does that make sense.
A=84 and r=1/5
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
Answer:
175 minutes
Step-by-step explanation:
Add up the 8 different times then divide by 4 to get the average driving time for 1 day:
⇒ 12 + 18 + 13 + 21 + 15 + 22 + 15 + 22 = 138
⇒ 138 ÷ 4 = 34.5 mins
Now multiply the average drive time for 1 day by 5 to determine the time taken to drive to and from school for 5 days:
⇒ 34.5 x 5 = 172.5 minutes
As 172.5 ≈ 175 minutes, the nest response is 175 minutes
The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.
<h3>What is a number line?</h3>
A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
Next, we would solve the given inequality as follows:
−0.4b + 2.4 < 5.6
Subtracting 2.4 from both sides, we have:
−0.4b + 2.4 - 2.4 < 5.6 - 2.4
−0.4b < 5.6 - 2.4
−0.4b < 3.2
Dividing both sides by -0.4, we have:
b < -3.2/0.4
b < -8
In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.
Read more on inequality here: brainly.com/question/3061666
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Answer:
(F+g)(x) greater than or equal to 3 for all values of x
Step-by-step explanation: