answer.
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
Alex787 [66]
2 years ago
10

There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the

next song. How many people were left at the concert after x songs? Write a function to represent this scenario.
Mathematics
2 answers:
Harman [31]2 years ago
8 0

Answer:

For Apex the answer is f(x)=567(1/3)^x

Step-by-step explanation:


Solnce55 [7]2 years ago
7 0
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0   y = 567
at x = 1   y = 567 - 567(1/3)
at x = 2   y = 567 - 567(1/3)(1/3)
at x = 3   y = 567 - 567(1/3)(1/3)(1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
You might be interested in
A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t
Marat540 [252]

<u>Answer-</u>

<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>

<u>Solution-</u>

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = (30\times \frac{95}{100})^{\circ}

Then the angle of third swing = (30\times (\frac{95}{100})^2)^{\circ}

So, this follows a Geometric Progression.

(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)

a = The initial term = 30

r = Common ratio = \frac{95}{100}

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

T_n=ar^{n-1}

Putting the values,

\Rightarrow 1=30(\frac{95}{100})^{n-1}

\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}

Taking logarithm of both sides,

\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}

\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})

\Rightarrow -1.5=(n-1)(-0.02)

\Rightarrow 1.5=(n-1)(0.02)

\Rightarrow n-1=\dfrac{1.5}{0.02}

\Rightarrow n-1=75

\Rightarrow n=76

Therefore, after 76 swings the angle through which it swings less than 1°

8 0
2 years ago
Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won
Nadya [2.5K]

Answer:

Myra: 24.8s (winner)

Byron: 26.3s

Step-by-step explanation:

Myra knocked down 1, so therefore there are 2 points added onto her time and it is now 24.8s.

Byron knocked down 3, so there are 6 points added on for 2 seconds per each hurdle. His time is now 26.3

6 0
2 years ago
Subway train arrives at the station every eight minutes you have a doctors appointment at the station so you take the subway and
topjm [15]
One min after it ends
8 0
2 years ago
Read 2 more answers
In a representative sample of 1000 adult Americans, only 460 could name at least one justice who is currently serving on the U.S
stellarik [79]

Answer:

P=2.326

Step-by-step explanation:

Raw Score (X):=1000

Population Mean (μ):=460

Standard Deviation (σ): =Sqrt(npq)

Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

Sqrt(npq)=sqrt(460X0.54)=15.7607

Z = (X - μ) / σ

Z = (1000 - 460) / 15.7607

Z = 34.26244

For p-value 0.01

P(x=0.01) = 2.32635

Hence, P=2.326 t 3 decimal places.

6 0
2 years ago
Riddle: What do the little piggies do as soon as they get home from school?
Shalnov [3]
Eat!! Sleep!! and do what ever they want!!
or they just build a house
5 0
2 years ago
Read 2 more answers
Other questions:
  • A machine produces 374 bolts in 33 minutes. At the same rate, how many minutes would it take to produce 272 bolts?
    7·2 answers
  • A student rolled two six-sided dice 100 times. The table captures the total of the dice on each roll. How to show results using
    13·2 answers
  • You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha
    7·1 answer
  • Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the
    8·1 answer
  • Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a
    14·2 answers
  • Abbey gets paid a flat rate of $10.00 to mow her neighbor's lawn plus an additional $5 per hour to rake the leaves.
    7·1 answer
  • Carlos is giving his friend in another state a new umbrella as a gift. He wants to ship the umbrella in a box he already has. Wh
    13·2 answers
  • Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
    7·1 answer
  • 30 POINTS PLZ HELP ME!!!!
    10·2 answers
  • To sell suren
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!