A change in pressure on the eardrum occurs when a pure musical tone is played. For some
tones, the pressure on the eardrum follows the sine curve
2/14
where is the pressure in pounds per square foot at time t second, and is the frequency of
the sound wave in cycles per second When p() is positive, there is an increase in pressure
and the eardrum is pushed inward: when p() is negative there is a decrease in pressure and
the eardrum is pushed outward.
(a) Graph the pressure on the eardrum for Middle C, which has a frequency of / 261.63
H. (ie, cycles per second), for between 0 and 0.005, i.e., [0, 0.005).
(1) Determine the period, denoted by 7 of p(6). What is the relationship between the period
and the frequency of the tone?
Answers
Answer:
a) see attached
b) period = 1/f ≈ 3.822 ms
Step-by-step explanation:
Apparently the pressure formula is ...
[tex]p(t)=0.004\sin{\left(2\pi ft+\dfrac{\pi}{7}\right)}[/tex]
__
a) A graph of this for f=261.63 is shown in the attachment.
__
b) The period is the time T required to change the sine function argument by 2π:
2πfT = 2π
T = 1/f . . . . . . divide by 2πf
The period is the reciprocal of the frequency.
The period of the tone is 1/(261.63 Hz) ≈ 3.822·10^-3 s
Related Questions
Does anyone know how to solve this?
Answers
Step-by-step explanation:
x-3=2x-13
x-2x= -13+3
-x= -10
remove the two minus sign
x=10
6th grade math i mark as brainliest
Answers
Answer:
13
Step-by-step explanation: divide
Answer:
your answer is 13
Step-by-step explanation:
just divide 2106 by 162 i used the dog house and got 13
I need to find the square root of 162 and round it to the nearest hundredths
Answers
Answer:
12.73
Step-by-step explanation:
12.7279220614 can be rounded to 12.73
Answer:
12.73Step-by-step explanation:
√162 = 12.73
Evaluate g(x) = 6x when x = -3,0, and 4.
g(-3)=
g(0) =
g(4) =
Answers
Answer: g(-3)= -18, g(0)=0, g(4)=24
Step-by-step explanation:
Multiply each of the numbers (-3, 0, 4) by 6
The value of g(x) for x equal to -3, 0, and 4 is -18, 0, and 24 respectively and this can be determined by using the arithmetic operations.
Given :
[tex]g(x) = 6x[/tex]
The following steps can be used in order to determine the value of g(x) at different values of 'x':
Step 1 - The arithmetic operations can be used in order to determine the value of g(x) at different values of 'x'.
Step 2 - Now, substitute the value of (x = -3) in the given function.
[tex]g(-3) = 6\times -3[/tex]
[tex]g(-3) = -18[/tex]
Step 3 - Now, substitute the value of (x = 0) in the given function.
[tex]g(0) = 6\times 0[/tex]
[tex]g(0) = 0[/tex]
Step 4 - Now, substitute the value of (x = 4) in the given function.
[tex]g(4) = 6\times 4[/tex]
[tex]g(4) = 24[/tex]
So, the value of g(x) for x equal to -3, 0, and 4 is -18, 0, and 24 respectively.
For more information, refer to the link given below:
https://brainly.com/question/25834626
what verbal expression would this be: Half of t
Answers
Answer:
here is your answer
t/2
Step-by-step explanation:
Hope this helps you
If yes then do mark my answer as brainliest
so i just failed a test which somehow brought my grade from a b+ to a d how is that possible guys?!!!! im screwed and dead
Answers
Answer:
Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.
Step-by-step explanation:
12. If ln(2x – 2) = 2t – 2, what is the value of x?
Answers
ln(2x – 2) = 2t – 2
2x-2=e^(2t-2)
x=e^(2t-2)/2+1
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.9 and a standard deviation of 64.7. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3? b. What is the approximate percentage of women with platelet counts between 53.8 and 442.0?
Answers
Answer:
A) Approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%
Step-by-step explanation:
We are given;
mean;μ = 247.9
standard deviation;σ = 64.7
A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3.
Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.
While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%
Thus, approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.
53.8 and 442.0 represents 3 standard deviations from the mean.
Let's confirm that.
Since mean;μ = 247.9
standard deviation;σ = 64.7 ;
μ = 247.9
σ = 64.7
μ + 3σ = 247.9 + 3(64.7) = 442
Also;
μ - 3σ = 247.9 - 3(64.7) = 53.8
Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;
(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%
What is the length of GD
Answers
Answer:
64
Step-by-step explanation:
Gadolinium is a chemical element with the symbol Gd and atomic number 64.
tom's baseball team wins 5 out every 12 games they play. If the team played 36 games, how many games did Tom's team win
Answers
Answer:
15 games
Step-by-step explanation:
12X3=36 5X3=15
4x+3/2x-1+3x-8/x-2=5
Answers
Answer:
4×+2×+3×3-1-8-2=2
9×-6=5
9×=5-6
9×=-1
9×=-1
9×/9=-1/9
×=-1/9
Answer:
x = 7
Step-by-step explanation:
I'm assuming you mean:
[tex]\frac{4x+3}{2x-1} +\frac{3x-8}{x-2}=5[/tex]
So everything needs to be multiplied by both (2x-1) and (x-2)
(4x+3)(x-2) + (3x-8)(2x-1) = 5(2x-1)(x-2), now you need to FOIL or distribute
4x²-8x+3x-6 + 6x²-3x-16x+8 = 5(2x²-4x-x+2)
4x²-5x-6 + 6x²-19x+9 = 10x²-25x+10, combine like terms
10x²-24x+3 = 10x²-25x+10 put variable on one side and constant on the other
x = 7
a. One week, Park Street's revenues were $7500, which was the 15th highest revenue recorded for that restaurant. In the same wook, Bridge Road's
revenue was $7100, the 12th highest for that restaurant Use percentiles and 7-scores to compare how successful each restaurant was that wook,
relative to their typical weekly revenue
Answers
Answer:
The percentile rank for Park Street's revenues this week is 60th.
The percentile rank for Bridge Road's revenues this week is 73rd.
Step-by-step explanation:
The missing information are as follows:
Variable N Mean SD
Park 36 6611 3580
Bridge 40 5989 1794
A z-score (aka, a standard score) specifies the number of standard deviations an observation is from the mean.
The formula to compute the z-score is, [tex]Z = \frac{(X - \mu)}{\sigma}[/tex], where X = observation, µ = mean, σ = standard deviation.
Compute the z-score for Park Street's revenues, $7500 as follows:
[tex]Z_{p} = \frac{(X - \mu)}{\sigma}=\frac{7500-6611}{3580}=0.25[/tex]
The z-score for Park Street's revenues this week is 0.25.
Compute the percentile rank for Park Street's revenues this week as follows:
[tex]P(Z<Z_{p})=P(Z<0.25)=0.5987\approx 0.60\ \text{or}\ 60\%[/tex]
The percentile rank for Park Street's revenues this week is 60th.
This implies that the Park Street's performed better than 60% of the revenue recorded for the restaurant.
Compute the z-score for Bridge Road's revenues, $7100 as follows:
[tex]Z_{p} = \frac{(X - \mu)}{\sigma}=\frac{7100-5989}{1794}=0.62[/tex]
The z-score for Bridge Road's revenues this week is 0.62.
Compute the percentile rank for Bridge Road's revenues this week as follows:
[tex]P(Z<Z_{b})=P(Z<0.62)=0.7324\approx 0.73\ \text{or}\ 73\%[/tex]
The percentile rank for Bridge Road's revenues this week is 73rd.
This implies that the Bridge Road's performed better than 73% of the revenue recorded for the restaurant.
PLEASE HELP MEEEEEEEEE ASAP
Slope of the Line is:_____
Answers
Answer:
the slope is -3
3. Mike and Chris mowed lawns to earn money to go on a trip at the end of the month. Mike earned $20 for each lawn he mowed in his neighborhood. Chris earned $15 for each lawn he mowed in his neighborhood. Mike and Chris mowed the same number of lawns by the end of the month. Ms. Anderson also gave the boys an extra $50 bonus to help them with their trip. (a) Write two expressions that could be used to determine the total amount of money the boys earned by the end of the month. (b) What does the variable represent in each expression? (c) Mike and Chris mowed 10 lawns each by the end of the month. They need $500 for their trip. Do they have enough money for their trip? Show or explain your work.
Answers
Answer:
x= The amount of lawns Mike mowed
y= The amount of lawns Chris Mowed
Equation 1: ($20+$15)(x+y)+$50=$500
Equation 2: ($20x)+($20xy)+$50=$500
A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the
probability the gymnast scores a 9 or 9.5?
Answers
Answer: 0.14
Step-by-step explanation: took the review and got it right
Considering that it is a probability distribution, it is found that there is a 0.14 probability the gymnast scores a 9 or 9.5.
What is the probability distribution?Researching on the internet, the probability of the gymnast getting each score is given by:
P(X = 5) = 0.02.P(X = 5.5) = 0.02.P(X = 6) = 0.06.P(X = 6.5) = 0.1.P(X = 7) = 0.16.P(X = 7.5) = 0.14.P(X = 8) = 0.18.P(X = 8.5) = 0.18.P(X = 9) = x.P(X = 9.5) = 0.02.Considering that it is a distribution, the sum of the probabilities has to be equals to 1, hence:
0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1
0.88 + x = 1
x = 0.12
The probability that the gymnast scores a 9 or 9.5 is:
p = P(X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14.
0.14 probability the gymnast scores a 9 or 9.5.
More can be learned about probability distributions at https://brainly.com/question/24855677
A bag of potatoes weighs 4.7 kilograms. How many kilograms will 4.55 bags weigh? A) 20.385 B) 21.385 C) 203.85 D) 213.85
Answers
4.7 x 4.55 = 21.385
f(x) = 2x +3
g(x)= x2 +X-7
2. Find (f + g(x)
3. Find (f - g)(x).
Answers
Answer:
fx+gx=x^2+5x/2-4
fx-gx=-x^2+3x/2+10
Step-by-step explanation:
Answer:
Step-by-step explanation:
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
Aspen tree company began planting trees for the next holiday season. For every 8 holly trees they plant, they plant 5 pine trees. If they plant a total of 39 trees, how many of the trees would be holly?
Answers
Answer:
24
Step-by-step explanation:
3x8=24 and 3x5=15 so 24+15=39
The table shows data for two groups of plants, one grown
with fertilizer and the other without fertilizer.
Effect of Fertilizer on Plant Growth
No fertilizer Fertilizer
Height of plants (cm) 24.1
25.9
25.4
24.1
35.6
30.5
32.1
40.6
30.5
33.8
What effect does the value 35.6 have on the measures of central ter dency for
the data in the left column?
Answers
Answer:
C
Step-by-step explanation:
The mean will be higher than the median and the mode. The correct option is C.
What is mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by the ratio of the sum of all the data and the total number of the data.
Given the effect of fertilizer on plant growth no fertilizer height of plants (cm) 24.1, 25.9, 25.4,24.1, 35.6, 30.5, 32.1, 40.6, 30.5, and 33.8.
The mean will be calculated as follows:-
Mean = ( 24.1 + 25.9 + 25.4 + 24.1 + 35.6 + 30.5 6 +32.1 + 40.6 + 30.5 + 33.8 ) / 10
Mean = 274.6 / 10
Mean = 27.6
Therefore, the mean will be higher than the median and the mode. The correct option is C.
To know more about mean follow
https://brainly.com/question/21577204
#SPJ5
what's the answer
a.2 1/4
b. 1 3/4
c. 3 1/4
d. 3/4
Answers
I don't know whether it is correct but I think that that the answer Is b
Answer:
C. 3 1/4
Step-by-step explanation:
USING PEMDAS first do parenthesis (1/3 divided by 1/6). This equates to the number 2. Then you can look at the -(-1/2) because its a double negative, it turns positive. Finally add it all together. 3/4+2+1/2. this becomes 3 1/4
Which expression is equivalent to 6- (-8)? Group of answer choices 6 + 8 6 + (-8) -6 + (-8) -6 + 8
Answers
Answer:
Its B.
Step-by-step explanation:
Hope this helped :)
The Chickens and Pigs Problem A farmer saw some chickens and pigs in a field. He counted 15 heads and 44 legs. Problem solve to find out exactly how many chickens and how many pigs he saw.
Answers
Answer:
15 pigs 22 chickens
Step-by-step explanation:
So if there are 15 heads, that means there 15 pigs and we know chickens have 2 legs, so we do do 44/2 = 22, so there are 15 pigs and 22 chickens
What is the goal of a proof by contradicción?
Answers
Answer:
In logic and mathematics, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.
Step-by-step explanation:
Which answer choice correctly represents the quotient of 4,232: 21?
A) 21 11/21
B) 200 2/21
OC) 201 1/21
D) 201 11/21
Answers
Answer:
B
Step-by-step explanation:
Solve y-3=-5 hurry I need it for a important test
Answers
Answer:
Step-by-step explanation:
-2 minus 3 = -5, y = -2
Answer:
y-3=-5
Step-by-step explanation:
y=-5-3
y=-8
this is the correct answer
Please help me it’s due at 5
Answers
Answer:
Emi o di un gruppo che ha visto
Select all of the following which are a term of the expression -9x3 + 12p +6 .
A. p
B. -9x
C. 12p
D.6
Answers
Choices C and D are terms of the expression.
The term of just p is not seen in the expression.
The term of just -9x is not seen in the expression.
Choices A and B are missing something.
A is missing the coefficient of 12, and B is missing the exponent of 3.
Roger went shoe shopping with his cousins Derek and Kamal. Roger bought a pair of basketball shoes that cost $74.95. Derek spent $24.55 more than Roger on a pair of running shoes. Kamal bought the same running shoes as Derek. Since he had a coupon, Kamal paid 4/ 5 as much as Derek for the shoes. How much money did Kamal spend on running shoes?
Answers
Answer:
79.60
Step-by-step explanation:
What time would be written as 13:10 on the 24-hour clock?
3:10 a.m.
3:10 p.m.
1:10 a.m.
1:10 p.m.
Answers
Answer:
1:10 p.m. because if noon is 12:00 then the next hour would be 13
answer:
the time would be 1:10pm
what is 54.2 minus 5
Answers
So, we are given the following equation...
[tex]54.2-5[/tex]
To solve this its pretty simple just subtract 54.2 from 5.
[tex]54.2-5=49.2[/tex]
So, that means your final answer is [tex]49.2[/tex]!
If this helped please mark me as brainliest!
