1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergio039 [100]
3 years ago
12

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou

nd 2 there are 128 players, and so on. Which explicit formula models this situation? How many player compete in round 7?
I NEED HELP PLEASE
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer:

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

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 \frac{1}{2} gives the number of players in the next round.

Therefore, the explicit function of number of players in nth round is given by  

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

Therefore, the number of players compete in round 7 will be a_{7} = 256 \times (\frac{1}{2} )^{(7 - 1)}  = 4. (Answer)

You might be interested in
The table shows values for functions f(x) and g(x). x f(x)=2x−3 g(x)=73x−2 −1 −52 −133 0 −2 −2 1 −1 13 2 1 83 3 5 5 4 13 223 5 2
Verizon [17]

0 and 2

f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

−1 −7/2 −9/2

0 −3 −3

1 −2 −3/2

2 0 0

3 4 3/2

4 12 3

5 28 9/2

There are two solutions to f(x) = g(x) which are x=0 and x=2.

6 0
3 years ago
4(x+3)-4=8(1/2x+1) i need to find the solution
oee [108]
You can solve this by algebraically as well as graphically. When I tried both ways I got:  
solution is x= -2<span />
5 0
3 years ago
Help with top one please
HACTEHA [7]
Short answer: 39
y = 7x - 3
f(x) = y = 7x - 3 Though there are some slight differences between f(x) and y, it is safe to say that f(x) acts (in this case) as a y value. So the question now is what does y(6) mean? 

y(6) means exactly the same thing as what f(6) would mean. The both mean that where ever you see an x, put in a 6. 

So y(6) means 7x - 3 = 7*6 - 3 = 39

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%20%2B%207%20%20%3C%20%20-%202" id="TexFormula1" title="x + 7 &lt; - 2" alt="x + 7 &lt; -
vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
5 0
3 years ago
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for pa
Kisachek [45]

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

<u>First, we need to determine the number of bats that fits into a box:</u>

Bats per box= 24,000 / 50

Barts per box= 480

<u>Now, the number of boxes for 36,000 bats:</u>

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

3 0
3 years ago
Read 2 more answers
Other questions:
  • 1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t
    7·1 answer
  • 1.407 rounded to the nearest whole number is?
    14·1 answer
  • Solve for y<br> y/p-q = y/p+q
    13·1 answer
  • Two adjacent sides of a parallelogram are 12cm and 10cm.
    14·1 answer
  • HELP QUICK!!
    8·2 answers
  • Evaluate 3z+6 when z=4​
    8·1 answer
  • HELP ME PLZ AND I WILL SHOW YOU MY KITTTTY
    15·1 answer
  • Use the triangle to answer the questions on the right.
    9·1 answer
  • Emily made $12.50 selling lemonade for 2 hours. If Emily wants to save $100, approximately how many hours would she need to sell
    5·1 answer
  • Help on A and B please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!