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
Trava [24]
3 years ago
11

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

front of a random large crowd and observing how many people yawned as a result.
The relationship between the elapsed time ttt, in minutes, since Gottfried yawned, and the number of people in the crowd, P_{\text{minute}}(t)P
minute
​
(t)P, start subscript, start text, m, i, n, u, t, e, end text, end subscript, left parenthesis, t, right parenthesis, who yawned as a result is modeled by the following function:
Pminute(t)=5⋅(1.03)t
Complete the following sentence about the hourly rate of change in the number of people who yawn in Gottfried's experiment.
Round your answer to two decimal places.
Every hour, the number of people who yawn in Gottfried's experiment grows by a factor of
Mathematics
2 answers:
tatyana61 [14]3 years ago
4 0

Answer:

Every hour, the number of people who yawn in Gottfried's experiment grows by a factor of 5.89

Step-by-step explanation:

Understanding the problem

The expression for P_{\text{minute}}(t)P  

minute

​  

(t)P, start subscript, start text, m, i, n, u, t, e, end text, end subscript, left parenthesis, t, right parenthesis, the number of people who yawn in Gottfried's experiment after ttt minutes, is 5⋅(1.03)t. This means that every minute, the number of people who yawn in Gottfried's experiment grows by a factor of 1.031.031, point, 03.

Let's change this expression so that the base tells us by which factor the number of people who yawn in Gottfried's experiment grows every hour.

Hint #22 / 3

Changing the unit

We want to find the expression for P_{\text{hour}}(x)P  

hour

​  

(x)P, start subscript, start text, h, o, u, r, end text, end subscript, left parenthesis, x, right parenthesis, which models the number of people who yawn in Gottfried's experiment after xxx hours.

NOTE: The function P_{\text{hour}}P  

hour

​  

P, start subscript, start text, h, o, u, r, end text, end subscript is not equivalent to P_{\text{minute}}P  

minute

​  

P, start subscript, start text, m, i, n, u, t, e, end text, end subscript, although they model the same situation. [Tell me more.]

P_{\text{hour}}  

P, start subscript, start text, h, o, u, r, end text, end subscriptP_{\text{minute}}  

P, start subscript, start text, m, i, n, u, t, e, end text, end subscript

P_{\text{hour}}(1)  

P, start subscript, start text, h, o, u, r, end text, end subscript, left parenthesis, 1, right parenthesis11P_{\text{minute}}(1)  

P, start subscript, start text, m, i, n, u, t, e, end text, end subscript, left parenthesis, 1, right parenthesis11

Since there are \blueD{60}60start color #11accd, 60, end color #11accd minutes in an hour, t=\blueD{60}xt=60xt, equals, start color #11accd, 60, end color #11accd, x, and the expression for P_{\text{hour}}(x)P  

hour

​  

(x)P, start subscript, start text, h, o, u, r, end text, end subscript, left parenthesis, x, right parenthesis is the same as the following expression.

Pminute(60x)=5⋅(1.03)60x=5⋅((1.03)60)x

Evaluating \maroonC{(1.03)^{60}}(1.03)  

60

start color #ed5fa6, left parenthesis, 1, point, 03, right parenthesis, start superscript, 60, end superscript, end color #ed5fa6 and rounding to two decimal places, we find that Phour(x)=5⋅(5.89)x.

sergeinik [125]3 years ago
4 0

Answer:

5.89

Step-by-step explanation:

You might be interested in
Please answer it correctly and please show work please help me if it’s correct I will mark you brainliest
Eva8 [605]

Answer:

210 hours

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

(2/3 * 1575) / 5

<u>Step 2:  Multiply</u>

(2/3 * 1575)/5

(1050) / 5

<u>Step 3:  Divide</u>

(1050) / 5

210 hours

Answer:  210 hours

8 0
3 years ago
Given a right circular cone a plane that intersects the cone (not at the vertex) and is parallel to its edge will always result
arlik [135]

Answer on APEX is true

6 0
3 years ago
Read 2 more answers
A bag contains 2 red marbles, 4 blue marbles, and 8 green marbles. What is the probability of choosing a blue marble?
bixtya [17]

Answer:

okay

Step-by-step explanation:

the probability of choosing blue marble is

p(blue)= 4/14

4 0
2 years ago
Hey guys i really need help pls dont waste the points i actually want help to understand how to solve equations like:
tamaranim1 [39]

Answer:

your question is unclear

Step-by-step explanation:

x+2y=4

-x -x

2y=4-x

divide by 2 to get y by it's self

y=2-(1/2x)

x+2y=4

-2y -2y

x=4-2y

i don't know if u want me to help u with the second one but i did it the first one

3 0
3 years ago
Find two integers whose sum is -9 and product is -10
BigorU [14]

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

5 0
2 years ago
Other questions:
  • If two planes intersect, they intersect in exactly one ?
    6·2 answers
  • Explain why 7 times X/7 =X ?<br> How does this relate to solving division equations ?
    5·2 answers
  • At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of th
    9·2 answers
  • Venn Diagrams contain how many sets, depicted by circles?
    14·2 answers
  • Harper has $17 to spend at the grocery store. she is going to buy bags of fruit that cost $4.50 each and one box of crackers tha
    6·1 answer
  • ONLY IF YOU'RE CORRECT I WILL GIVE YOU BRAINLIEST!!!!
    7·2 answers
  • Whats 100,000,000 Divided by 100,000?<br><br> Im curious and i dont have the time to solve
    11·2 answers
  • 3 1/3=5a<br> Please answer I need it in a few minutes
    13·1 answer
  • A bus driver started her day with an empty bus. At her first stop she picked up
    7·1 answer
  • Subtract-3x - 8 from 4x² - 7x - 2.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!