Answer:
where 
.
The number of players compete in round 7 will be 4.
Step-by-step explanation:
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.
So, the number of players is multiplied by 
gives the number of players in the next round.
Therefore, the explicit function of number of players in nth round is given by
where .
Therefore, the number of players compete in round 7 will be 
. (Answer)
Answer:
Option (C)
Step-by-step explanation:
If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.
By the property of perpendicular lines,
where 
is the slope of the line AD and 
is the slope of BC.
Now from the given property,
Therefore, slope of altitude BC = 
Option (C) will be the answer.
Answer:
X=72
Step-by-step explanation:
216/3= 72
Answer:
3
Step-by-step explanation:
Formula:
= 3
So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
