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
elena-s [515]
3 years ago
7

Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn

ed in front of a large, random crowd and observed how many people yawned as a result. The relationship between the elapsed time ttt, in minutes, since Darren yawned, and the number of people in the crowd, P(t)P(t)P, left parenthesis, t, right parenthesis, who yawned as a result is modeled by the following function: P(t)=5⋅4t10.5
Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

​

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

​

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

​

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

You might be interested in
Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently
kumpel [21]
AFC = FC / Quantity printed 

<span>So given she prints 1,000 posters: AFC = 250.00/1000 = $0.25 </span>
<span>Given she prints 2,000 posters: AFC = 250.00/2000 = $0.125 </span>
<span>Given she prints 10,000 posters: AFC = 250.00/2000 = $0.025 </span>

<span>ATC = TC / Quantity printed </span>

<span>where TC = FC + Variable C * Quantity printed </span>

<span>If she prints 1000: TC = 250 + 2000*1000 = 2,000,250 </span>
<span>ATC = 2,000,250/1000 = 2000.25 </span>

<span>If she prints 2000: TC = 250 + 1600*2000 = 3,200,250 </span>
<span>ATC = 3,200,250/2000 = 1600.125 </span>

<span>If she prints 10000: TC = 250 + 1600*2000 + 1000*8000 ($1000 for each additional poster after 2000) = 11,200,250 </span>
<span>ATC = 11,200,250/10000 = 1120.025</span>
7 0
3 years ago
I just started the problem, but I'm a bit lost on what to do now.
borishaifa [10]
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.

240 / 3 = 80

Then multiply by 9 to get your answer.

9 * 80 = 720
8 0
3 years ago
Ken is driving home from college the trip is 245 miles if he drives and average of 70 mph how many hours will it take him to get
Vedmedyk [2.9K]

Answer:

3 hour and  30 minutes

Step-by-step explanation:

Divide

5 0
3 years ago
Read 2 more answers
PQRS is an isosceles trapezoid and R=52. Find P
valkas [14]
180 - 52 = 128°
opposite sides add up to 180°
4 0
2 years ago
Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
svetoff [14.1K]

Answer:

equation \: for \: pythagorean \: theorem \: is \:  \\  {3.8}^{2}  +  {6.8}^{2}  =  {x}^{2}

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is a property of a parallelogram?
    7·2 answers
  • Emily is 62 years old. Colin is 3 years older than Emily. Dan is 8 years younger than Emily. What is the total of their combined
    14·2 answers
  • he tennis match ended at 5:10 P.M. and took 55 minutes to complete. What time did the tennis match start
    14·1 answer
  • What is the probability of drawing a face card from a standard deck of cards and rolling a 3 or more on a 20-sided dice?
    5·1 answer
  • Y=6x+11 what to solve for
    8·1 answer
  • PLS ANSWER
    11·1 answer
  • 7 1/8-3 2/3<br><br> As a mixed number in simplest form.
    8·2 answers
  • Select ALL solutions for this equation:<br> 2 + 2 = x - 10
    13·1 answer
  • Please help thank u.
    5·1 answer
  • Which expression is equivalent to 3⋅3⋅3⋅3? 4³ 34 3³
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!