A symphony orchestra is arranged in a semicircle around the conductor. The rows are about 3 feet apart, with the first row about 6 feet from the conductor. A mid-sized orchestra has about 6 rows of chairs. What is the approximate delay between the instant when a play at the 6th row start a note and when the conductor hears the note?

Answers

Answer 1

Answer:

19 ms

Step-by-step explanation:

We need to find the time it takes for the sound from the 6th row gets to the conductor.

Since there are 6 rows and each row is 3 feet apart, since the orchestra is arranged in a semi-circular manner around the conductor, the distance from the 6 th row to the 1st row is (6 - 1) × 3 = 5 × 3 = 15 feet.

Now, since the conductor is 6 feet from the first row, his distance from the 6th row is 15 feet + 6 feet = 21 feet.

So, time approximate delay between the instant when a play at the 6th row start a note and when the conductor hears the note, t = distance between 6th row and conductor/speed of sound.

Speed of sound = 343 m/s

distance between 6th row and conductor = 21 feet. In meters, it is 21 × 0.3048 m = 6.4008 m

t = 6.4008 m ÷ 343 m/s

= 0.019 s

= 19 ms


Related Questions

Help me please is urgent

Answers

Answer: 5/4

Step-by-step explanation:

Slope = rise over run

Up 5 over to the right 4

6
Directions - Determine the correlation for the situation. Choose Positive/ Negative/ or No correlation for each.
The outside temperature in the summer and the cost of the electric bill (for air conditioning).
A) Positive correlation
B Negative correlation
No Correlation

Answers

Probably No correlation because they don't relate to each other

As the temperature in the summer goes up, so does the cost to supply cooling to the house (the AC has to work harder due to higher level of heat)

A is correct - they both increase and decrease together

Bill rides his bike around the block 10 times in 5 min. Find the unit rate.

Enter your answer in the box.

Answers

Answer:

2 Blocks per Minute

Step-by-step explanation:

You divide 10 by 5 to get 5 to 1. Then you get 2:1

Answer:

2 pm

Step-by-step explanation:

Two times per minute. <3

A contractor bought 12.6 ft2 of sheet metal. He has used 3.7 ft2 so far and has ​$160.20 worth of sheet metal remaining. The equation 12.6x−3.7x=160.2 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answers

Answer:$18 per square foot

Step-by-step explanation:

12.6x-3.7x=160.2

8.9x=160.2

x=18

$18 per square foot

Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.

Answers

Answer:

The answer is 6

Step-by-step explanation:

To solve this expression you use PEMDAS

16÷4=4

4×3=12

12-6=6

Answer:

(16/4)3 - 6 = ?

=> (16 * 3/ 4 * 3) - 6 = ?

=> (48 / 12) - 6 = ?

=> 4 - 6 = ?

=> -2 = ?

Therefore, (16/4)3 - 6 = -2

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Which equation best represents the function?
O f() = 4x - 55
O f(x) = 4.1 – 15
O f() = 20x – 55
O f(x) = 20x - 15

Answers

f(x)=4.1-15 is the right answer !!

HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!


Nature's Best wants to combine nuts they sell for $3.60 a "
pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 'a pound?

Answers

Answer:

brainlest maybe

Step-by-step explanation:

Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?

--------------

Let amt. of nuts be "x" lbs ; value is 3.60x dollars

-------------

Amt of fruit is "10-x" lbs ; value is 2.4(10-x) = 24-2.4x dollars

----------------------

Amt of mix is 10 lbs ; value is 3.3*10= 33 dollars

------------------------

EQUATION:

value + value = 33 dollars

3.6x + 24-2.4x = 33

1.2x = 9

x = 7.5 lbs (amt of nuts in the mix)

10-x = 2.5 lbs (amt of fruit in the mix)

=================

The temperature is changing every day by negative 5 over 32 degrees Fahrenheit. What will be the change in the temperature after 3 days? (1 point) negative 20 over 8 degrees Fahrenheit 5 over 8 degrees Fahrenheit negative 5 over 32 degrees Fahrenheit negative 5 over 8 degrees Fahrenheit

Answers

Answer:

negative 5 over 32 degrees Fahrenheit

Step-by-step explanation:

Given the following :

Change in temperature per day = (- 5/32)°F

Waht will be the change in temperature after 3 days :

(-5/32)°F × 3 = ( - 15/96)°F

-15/96 = (-5/32)°F

Hence, the change in temperature will be :

negative 5 over 32 degrees Fahrenheit

plz help this is due soon​

Answers

Answer:

put a dot on the following points ( -1, -3) (0, -2) (1, -1) and (2, 0)

Step-by-step explanation:

Solving systems by substituting

Answers

Explanation:

4x+3y=37

y=x-4

4x+3(x-4)=37

4x+3x-12=37

add 12 to both sides

7x=49

x=7

Now you use plug in x

4(7)+3y=37

28+3y=37

subtract 28 to both sides

3y=9

y=3

answer: x=7 and y=3

What does * mean in mathematics?

Answers

Answer:

multiply

Step-by-step explanation:

for example:

4 * 5 = 20

other ways of writing multiply:

4 x 5 = 20

 4(5) = 20

Answer:

Usually in math it is used to indicate multiplication.

Step-by-step explanation:

Most of the time people will use * instead of x for multiplication on a calculator or computer.

Hope this helps. Plz give brainliest.

6. A set of data points has a correlation coefficient r = -0.86. Your friend claims

that because the correlation coefficient is close to -1, it is reasonable to use the

line of best fit to make predictions. Is your friend correct? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

The line of best fit is used in linear regression models to make predictions, the line of best fit gives the relationship between the dependent and independent variables by obtaining the Coefficient of correlation. The Coefficient of correlation is a value which ranges from - 1 to 1. With values close to either - 1 or 1 depicting a strong negative and positive relationship respectively. Hence, with a correlation Coefficient of - 0.86, which signifies a strong negative relationship, then we can go ahead and make prediction using the model.

Help i will mark brainliest to who first

Answers

Answer:

Chapter 2 The Language of Algebra

Simplify:

1.5(3+2·6)−82

Solve:

2.17=y−13

3.p+14=23

Translate into an algebraic expression.

4.11 less than the product of 7 and x.

Translate into an algebraic equation and solve.

5.Twice the difference of y and 7 gives 84.

6.Find all the factors of 72.

7.Find the prime factorization of 132.

8.Find the least common multiple of 12 and 20.

Chapter 3 Integers

Simplify:

9.|8−9|−|3−8|

10.−2+4(−3+7)

11.27−(−4−7)

12.28÷(−4)−7

Translate into an algebraic expression or equation.

13.The sum of −5 and 13, increased by 11.

14.The product of −11and8.

15.The quotient of 7 and the sum of −4andm.

16.The product of −3 and is −51.

Solve:

17.−6r=24

Chapter 4 Fractions

18.Locate the numbers on a number line.  

7

8

 

,

5

3

 

,3

1

4

 

,5.

Step-by-step explanation:

The measure of an angle is 9 more than twice its complement. Find the measure of each angle. Which equation below accurately translates the sentence and could be used to find the measure of each angle? 2x + 9 = 90 - x x + 9 = 2(x - 90) x = 9 + 2(90 - x) 2x = (x - 90) + 9

Answers

Answer:

1) Find the measure of each angle.

The measure of each angle = 63° and 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a) 2x + 9 = 90 - x

Step-by-step explanation:

1) Find the measure of each angle.

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Mathematically this is represented as:

x° + y° = 90°

From the above question, we are told that:

The measure of an angle is 9 more than twice its complement.

Let the complement of an angle be represented by x

And its measure of an angle be represented by y

Hence,

y = 2× x+ 9

y =(2x + 9)°

x° + y° = 90°

Substitute 2y + 9 for x

x + 2x + 9 = 90

Collect like terms

x + 2x = 90 - 9

3x = 81

Divide both sides by 3

3x/3 = 81/3

x = 27°

We find y(measure of the angle)

x + y = 90

27 + y = 90

y = 90 - 27

y = 63°

Therefore, the measure of each angle is given as:

Measure of an angle = 63°

Complement of an angle = 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a)2x + 9 = 90 - x

b) x + 9 = 2(x - 90)

c) x = 9 + 2(90 - x)

d) 2x = (x - 90) + 9

Option a) is the correct option

Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?​

Answers

Answer: $62.75

Step-by-step explanation:

1.)$20.00 x2= $40.00

2.)$14.50 +$8.25= $22.75

3.)$40.00 +$22.75= $62.75

Hope this helps

To get from his high school to his home, Jamal travels 9 miles east and 9 miles north. When Sheila goes to her home from the same high school, she travels 4 miles east and 5 miles south. What is the distance between Jamal's home and Sheila's home?

Answers

Answer:

14 miles north 5 miles east

Step-by-step explanation:

-5miles 9+5 because distance cant be negitive.

Answer:

14.6 miles

Step-by-step explanation:

Jamal will end up about \sqrt{162} from the school and Sheila will be about \sqrt{41}. They will be \sqrt{212} for each other or 14.6 miles.

HELP ME PLEASE
Which function has the same graph as x+y=11
:(:(:(:(

Answers

Answer:

B

Step-by-step explanation:

to find this, we can isolate y.

x+y=11

y=11-x

y=-x+11

you got it right, gj:)

TRIGINOMETRY HELP PLS, Q 9-13 with working out

Answers

Answer:

sorry for my writing

i tried to do as fast as possible

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)​

Answers

Answer:

B (lmk if you want me to explain)

Step-by-step explanation:

the point slope form is

y-y1=m(x-x1)

y-12=5/6(x--9)

y-12=5/6(x+9)

Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.

Answers

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

[tex]18.75= 1.25x +3.75y[/tex]

Multiply the whole equation by 4 to remove the decimals:

[tex]75= 5x +15y[/tex]

Simplify by dividing the whole equation by 5:

[tex]15 = x + 3y[/tex]

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

x +3y= 15 -----(2)

x= -3y +15

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

Answer:

6 games=$7.5  3 rides=$11.25

1.25*6=7.5

3.75*3=11.25

7.5+11.25=18.75

(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.

Write a formula for the height of the couple t seconds after the ride begins.

How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?

Answers

Answer:

Step-by-step explanation:

Answer:

65x-489

Step-by-step explanation:

PLEASE HELP ASAP
Which angle is important using the SAS postulate?

Answers

2,3 I think I’m not sure

-6x + 3 = 5
How do I solve this??????????????

Answers

Answer:

Step-by-step explanation:

you subtarct the 3 on both sides so it would be -6x=2

then you divide on both sides by -6 so it would look like x=-1/3

Answer:

x= -0.33 or -1/3

Step-by-step explanation:

What you have to do is isolate the x variable, you do the opposite to the other side of the equation to isolate the x.

Step 1- Subtract 3 to both sides of the equation.

-6x+3= 5

     -3  -3

-6x= 2

Step 2- Divide both sides of the equation by -6.

-6x= 2

 -6  -6

x= -0.3333...

So, x equals -0.333 or -1/3.

Hope this helps! :)

Please I need some answers

Answers

Square root of 256 is 16
Square root of 625 is 25
Square root of 121 is 11
Square root of 256 is 16 I believe as well

Santa Claus has been experiencing some recent back pain and is unable to carry large bags of toys over his shoulders. As a result, he has decided to use FedEx to deliver many of his gifts this year. FedEx charges a flat rate of $2.50 plus $0.85 per pound. If the cost of sending gifts to the Jones's was $28.85, how much did their gifts weigh?

Answers

Answer:

31 pounds

Step-by-step explanation:

From the information given, you can write the following formula to calculate the total cost of sending gifts:

Total cost of sending gifts=2.50+0.85x, where x is the weight of the gifts in pounds

Also, you know that the total cost of sending gifts is $28.85 and you can replace this value and solve for x:

28.85=2.50+0.85x

28.85-2.50=0.85x

26.35=0.85x

x=26.35/0.85

x=31

According to this, the answer is that the gifts weighed 31 pounds.

Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)​

Answers

Answer:

A

Step-by-step explanation:

when you substitute 4 in x and 3 in y, your result are 11 no 10

Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?

I need both ages thx

Answers

present age of charlie is  45 years

present age of priya is  25 years

Step-by-step explanation:

Let start from five years ago

Let at that age of Priya was x years

given that

Charlie was twice older than Priya

age of Charlie = 2x

_____________________________________________

present age of charlie = age 5 years ago + 5 years = 2x + 5

present age of priya = age of priya  5 years ago + 5 years x + 5 = x + 5

_________________________________________________

age of charlie 3 years from now = present age of charlie + 3 years

age of charlie 3 years from now =2x + 5 + 3 = 2x + 8

age of priya 3 years from now = present age of priya + 3 years

age of priya 3 years from now =x + 5 + 3 = x + 8

Given that

in 3 years the sum of their ages will be 76

thus

sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76

=> 3x + 16 = 76

=> 3x = 76-16 = 60

=> x = 60/3 = 20

Thus,

present age of charlie =  2x + 5 = 2*20 + 5 = 45 years

present age of priya = x + 5 = 20 + 5 = 25 years

A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize a profit of $3/unit of product A and $5/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine 1 and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the companies profit?

Answers

Answer:

product A on machine 1 would make 27 units (rounded down) 81 dollars profit.

product A on machine 2 would make 25 units (rounded down) 75 dollars profit.

product b on machine 1 would make 15 units (rounded down) 75 dollars profit.

product b on machine 2 would make 16 units (rounded down) 80 dollars profit.

Step-by-step explanation:

a1 refers to product a on machine 1

a2 refers to product a on machine 2

same rule applies for product b 1 and 2

Really easy, giving you the answers, just match them up, thanks!

Answers

Answer:

why can u do this yourself ?

Step-by-step explanation:

are u ok r ur hands broken

Base of a sold- A special face of a solid

Cone- three-dimensional figure with a circular base and a curved surface that rises to a vertex

Pyramid- three-dimensional figure with a polygon as a base and all the other bases are triangles with a common vertex

Slant height- height of a lateral surface

Surface area- the total area of all the faces


When adding integers with the same sign you should

Answers

Answer:

To add integers having the same sign, keep the same sign and add the absolute value of each number.

Step-by-step explanation:

hope it help

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