A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3
Answer:
The frequency of note E is:
f(E) = 330 Hz
The frequency of note C is:
f(C) = 262 Hz
The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:
r = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26
Now, we want to find how man E waves will fit in the length of four C waves.
Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.
For waves, we have the relationship:
v = f*λ
where:
v = velocity (in this case, velocity of the sound = 343 m/s)
f = frequency
λ = wavelength.
So, the length of a single E wave is:
λ(E) = (343 m/s)/(330 1/s) = 1.04 m
And the length of a single C note is:
λ(C) = (343 m/s)/(262 1/s) = 1.30 m
In four C waves, the length is:
4*λ(C) = 4*1.30m = 5.2m
The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:
N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14
So we can fit 5 E waves into four C waves.
Answer:
The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:
330 Hz / 262 Hz ≈ 1.26
To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:
330 Hz / 2 = 165 Hz
262 Hz / 2 = 131 Hz
So the ratio of the frequency of E to C is:
165 Hz / 131 Hz = 15/12 ≈ 1.25
This ratio is approximately equal to 5/4
Therefore, the answer is (A) 5 to 4
In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.
Answer:
B. At its lowest point, the wire is 24 feet above the ground
Step-by-step explanation:
QUESTION 2 PLEASE HELP ME!!!
Answer:
Look it up up
Step-by-step explanation:
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
If f(1)=3 and f(n)=3f(n-1) then find the value of f(6).
Answer:
(n-1)
Step-by-step explanation:
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
Learn more about inequality here;
https://brainly.com/question/15140706
#SPJ2
Ayuda plis, no le entiendo ni mais :"
Answer:
Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español
Step-by-step explanation:
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answer:
The ladder would reach 15.2 feet up
3
What is the difference of
21
?
4
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
EASY MATH PLEASE HELP!
Most dogs fail to become service dogs. In a recent training class, only 6 of the 15 dogs were certified as service dogs. What percent of dogs became certified service dogs?
Answer:
40 Percent
Step-by-step explanation:
What is the length of the hypotenuse
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.
Answer:
c
Step-by-step explanation:
Help me plsssssssssssssssss
in me franklins algebra course, eight students recently took a test their grades were as followed: 35, 77, 80, 86, 87, 90, 94, 100
calculate the mean and median of this data set
Answer:
Mean= sum/no.
= 35+77+80+86+87+90+94+100 / 8
= 649/8
=81.125 was the mean
Median: the middle number
35, 77, 80, 86, 87, 90, 94, 100
Both are in the middle so: 86+87/2
=173/2
=86.5 as the median
Step-by-step explanation:
followed: 35, 77, 80, 86, 87, 90, 94, 100
calculate the mean and median of this data set
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answer:
Most males preferred black laptops
Step-by-step explanation:
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Solve log2 x = log5 3+1 by graphing. round to the nearest tenth
Answer:
the answer is 3.2
Step-by-step explanation:
x≈3.2
What is 2x + 5y - 2x?
Answer:
5
Step-by-step explanation:
sorry if inorrect
-2/3m = 12 solve for m
Step-by-step explanation:
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]
use cross multiplication[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth. A. 696.99 cm3 B. 133.97 cm3 C. 267.95 cm3 D. 334.94 cm3
Answer:
267.95cm^3
Step-by-step explanation:
S= 4πr^2
Surface area is 200.96
π= 3.142
200.96= 4×3.142×r^2
200.96= 12.57r^2
r^2= 200.96/12.57
= 15.99
= √15.99
r = 3.9
Volume= 4/3πr^3
= 4/3× 3.142×3.9^3
= 267.95 cm^3
URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list
Answer:
were is the line
Step-by-step explanation:
Answer:
1- y=2x-5
2- y=-1/6x-5
Hope this helps you!!
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
George is planning to attend a public university after he graduates from high school in 1.5 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $31,800. His family has promised to contribute $16,500 each year he is in school. What is the minimum amount of money George must contribute to his savings per month for the next 1.5 years to have enough money to pay for his first year of tuition?
a
$625
b
$900
c
$850
d
$775
what is the lcm of 3 and 4
Answer:
12
Step-by-step explanation:
3 x 4 = 12
4 x 3 = 12
Mark as Brainliest
find the value of 32½
Answer:
65 will be the correct answer
Step-by-step explanation:
32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.
32.5 % of 10 would be 3.25.