The relationship between the sound level in a room and the rate at
which people wake up can be modeled by a linear function as shown.
Which of these best describes the
rate of change of the frequency of
people waking up with respect to
the sound level?
Frequency of People Waking Up
vs. Sound Level
100
8% per 9 decibels
90
80
B
3% per 4 decibels
70
60
9% per 8 decibels
Frequency of People Waking Up (%)
50
40
4% per 3 decibels
30
20
10
0 145
55 65 75 85 95 105 115
Sound Level (decibels)
Answers
Answer:
Step-by-step explanation:
C
The change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
What is linear function?Linear function is the function in which the highest power of the unknown variable is one. Linear functions used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
[tex]y=mx +c[/tex]
Here, (m) is the slope of the function and (c) is the y intercept.
The slope can be found out as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The sound level is plotted on x-axis and frequency of people walking up (%) is plotted on y-axis. The slope of the line given the rate of change of y values with respect to x value.
In the graph given, the frequency of people walking up is 10 at 55 decibels and 55 at 95 decibels. The point, we get for this line are (55, 10) and (95, 55). Therefore the slope or the change of rate is,
[tex]\dfrac{dy}{dx}=\dfrac{55-10}{95-55}\\\dfrac{dy}{dx}=\dfrac{45}{40}\\\dfrac{dy}{dx}=\dfrac{9}{8}[/tex]
Hence, the change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
Learn more about the linear function here;
https://brainly.com/question/15602982
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4.7 x 10^-3___ 2^2
=
<
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Answer:
< (less than)
Step-by-step explanation:
4.7*0.001 ___ 4
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What is the slope of the line that passes through the points (-2, -5) and (6, 7)?
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[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]
[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]
[tex]slope = \frac{12}{8} \\ [/tex]
[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]
[tex]slope = \frac{3}{2} \\ [/tex]
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Answer:
3/2
Step-by-step explanation:
use the slope formula to solve
y2-y1 is 7- (-5) = 12
x2-x1 is 6- (-2) = 8
the formula is y2 -y1 over x2-x1 so
12/8
simplify it to 3/2 (fraction answer)
convert it to decimal if needed: 1.5 (decimal answer)
2(5x + 3) - 2(2x - 3)
Answers
Factor: 6(x + 2)
Simplify: 6x + 12
Answer:
[tex]\boxed {6x + 12}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
-Use Distributive Property:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
[tex]10x + 6 - 4x + 6[/tex]
-Combine like terms:
[tex]10x + 6 - 4x + 6[/tex]
[tex]\boxed {6x + 12}[/tex] (final answer)
Will mark Brainliest
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please help me quickly
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Answer:
B is (4,0) and D is (8,10)
Step-by-step explanation: Read the x and y cordinates
Answer:
(8,10)
Step-by-step explanation:
coordinates are set up like (x,y)
8 is in the x
10 is in the y
Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations.
Answers
Answer:
1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.
2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.
3.) Because of the negative interest, the compounded amount is only $695,929.30.
4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.
Step-by-step explanation:
If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.
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Answers
Answer
the answer is 75
Step-by-step explanation:
100 divided by 3 = 75 so there is 75 students
75 is the answer I have the same question as you
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Answer:
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Step-by-step explanation:
what is the volume of a A prism with a base area of 34 m2 and a height of 6 m.
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Answer:
34 * 6 = 204
Thank you and please rate me as brainliest as it will help me to level up
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Answer:
Step-by-step explanation:
9 is 39
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Answer:
It's 1 kilometer
Step-by-step explanation:
Peter is planting trees in his yard. He wants the ratio of pine trees to oak trees to be 3 to 2. Peter wants to plant a total of 45 trees. How many pine trees should he plant?
Answers
Answer:
Step-by-step explanation:
Let the ratio of pine tree to oak tree=3x:2x
Where no. Of pine tree =3x
No. Of oak tree=2x
Total no. Of tree = 3x+2x=45
5x=45
X=9
So no. Of pine tree=3x=3x9=27 tree is answer
please help!!! I don't understand how this works.
Please explain how you worked it out...
Thanks!!
Answers
Answer:
Step-by-step explanation:
64,000 x 6.2% divided by groups of 1.45 a
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Answers
Answer:
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Step-by-step explanation:
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2) Quadrant 2
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Answers
Step-by-step explanation:
10= -3+x
10+3=x
x=13 is ur ans
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Answer:
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Step-by-step explanation:
To which subset of the real number system does -24 belong?
Answers
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.
Jessica has 120 stamps in a collection she bought 16 more Jessica wants plays the stamps equally and six pages of the book how many stamps will be on each page of the book 20 stamps 25 stance 30 stamps or $.40 Stan's
Answers
Answer:
30 stamps each
Step-by-step explanation:
This is the correct question:
Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book
Total stamps = 120 + 60
= 180
Jessica wants to place the stamps equally on 6 pages of a book
how many stamps will be on each page of the book?
Each page of the book = Total stamps / number of pages in the book
= 180 / 6
= 30
Each page of the book will have 30 stamps each
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Answer:
2 and 6 i think
Step-by-step explanation:
1+8k=-6+8k how many solutions? marking brainlyest
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Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
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Step-by-step explanation:
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Answer:
For me it looks like downward and upward parabola.
The graph is periodical meaning that it repeats itself after some point. This is because the motion of the wheel makes the car move up and then come back down again. Each local min point is likely where the riders get on the ride, since its closest to the ground. Each local max point is the highest point on the graph indicating when the car is at the top of the wheel.
Let's say that the vertical distance from the lowest point to the highest point is 50 feet, just as an example. This would mean the amplitude is half that at 50/2 = 25 feet. The amplitude represents the vertical distance from the center line to either the highest or lowest point.
The period describes how long each cycle takes. For instance, if it takes 60 seconds for a specific car to go from the bottom position, loop around, and then come back to the bottom position, then the period is 60 seconds. The frequency is simply 1 over the period. Though the frequency may not be used as much.
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The mid segment of the triangle is 5x-1. Find the value of x.
Answers
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Answers
Part b and c are missing and they are;
b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
A) P(balanced fund) = 0.23
B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
HELP ME OUT PLEASE IM BAD AT MATH
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it is -⅕ if youre asking for the slope
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Step-by-step explanation:
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