What happens to the pitch you hear when two sound waves constructively
interfere?
A. It increases due to the Doppler effect.
B. It decreases due to the Doppler effect.
C. The pitch does not change.
D. You hear the pitch of the louder sound.

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

Learn more about Sine law here:

https://brainly.com/question/17289163

#SPJ1

Angle θ in radians is 12/5 or 2.4 radians.

Define Arc Length

Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc. Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).

Given,

radius = 5 cm

length of arc = 12 cm

We know that,

θ = length of arc / radius

Now, plug in the values

θ = 12 / 5 or 2.4 radians

Hence,angle θ in radians is 12/5 or 2.4 radians.

To read more about Arc Length

https://brainly.com/question/28108430

#SPJ1

Answer: 2.4

Step-by-step explanation:

radius = 5 cm

length of arc = 12 cm

θ = length of arc / radius

θ = 12 / 5 or 2.4 radians

2.4 radians

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

$13,568.30

Step-by-step explanation:

I = Prt

I = 2,219(1.0191)(6) = 13,568.30

Answer:

Um, Reduce means divide sooo.... I think you'd be 100?

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

To learn more about standard form refer to:

brainly.com/question/187506

#SPJ1

Answer:

B

x + y = 712

8x + 4y = 4,256

Step-by-step explanation:

If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712

The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256

Answer:

You woke up at 7:00 AM

You finished your shower at 7:30 AM

You finished your meal at 7:40 AM

You finished your videogames at 8:00 AM

8:00 AM - 7:40 AM = :20

So, you played video games for 20 Minutes! That sure must be a quick game...

Hopefully this helped!

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

Learn more about dependent variables here:

https://brainly.com/question/30386143

#SPJ1

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

The measure of <1 is 31°.

Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.

In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;

<2 = 31° (given)

So that;

<1 = <2 = 31°

Thus,

<1 = 31°

Therefore, it can be concluded that the measure of <1 is 31°.

Learn more about vertical angles at https://brainly.com/question/29790668

#SPJ1

Answer: x=40

Step-by-step explanation:

x+2x+x+20=180

first you combine the like terms which are (x, 2x, x) and get 4x.

now you have 4x+20=180

next you subtract 20 on both sides:

4x+20=180

     -20 -20

and get 4x=160

finally you divide 4 on both sides and get a final answers of x=40

Answer:

21

Step-by-step explanation:

Just like a dilation you want to find some sort of scale factor. Now when 7/2 is simplified it then becomes 3.5. Now multiply that by 6 since we are trying to find the ratio. when multiplied by 6 it becomes 21 so the ration of wins to losses is 21/6

Transversion is known as point mutation in DNA.

Transversion is a term used in molecular biology. It refers to a point mutation in DNA in which a single (two ring) purine (A or G) is changed for a (one ring) pyrimidine (T or C), or vice versa. A transversion can be spontaneous, or it can be caused by ionizing radiation or alkylating agents. It can only be reversed by a spontaneous reversion.

So, here 5'AGCCTAC3' we can replace (A or G) with (T or C)

So, the answer should be :

5'ATCCTAC3'

Here we have replaced G with T and other things are same

To know more about DNA follow the given link :

https://brainly.com/question/8806489

The full question will be like this

Assume that a wild-type sequence is 5'AGCCTAC3'. Indicate the sequence that might be produced by a transversion. Which of the following sequences might be produced by a transversion?

A) 5'AGTCTAC3'

B) 5'AGCCGCCGCCGCCTAC3'

C) 5'AGCCCAC3'

D) 5'ATCCTAC3'

#SPJ4

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = \(\frac{P(A n B)}{P(B)}\)

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  \(\frac{P(BnA)}{P(A)}\)

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

Using the Empirical Rule, it is found that:

a. Approximately 99.7% of women in this group have platelet counts within 3 standard deviations of the mean, or between 54.5 and 463.7.

b. Approximately 95% of women in this group have platelet counts between 122.7 and 395.5.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

Hence for item a the percentage is of 99.7%, as the measures are within 3 standard deviations of the mean.

In item b, the measures are within two standard deviations of the mean, as:

Hence the percentage is of 95.5%.

Learn more about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

A. 0.385 and 0.5555...

Step-by-step explanation:

These are rational numbers because:

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

Read more on difference of numbers:

https://brainly.com/question/17301989

#SPJ1

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

From the question, we have the following parameters that can be used in our computation:

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

Answer:

They are collinear if they are on the same line

Answer:

F=

5

9

×C+32

Given C = 40

F=\frac{9}{5}\times40+32=9\times8=32F=

5

9

×40+32=9×8=32

F = 104

Step-by-step explanation:

pls mark me brainlist

Equation relating T to N = 750 + 620N

According to the information given in the question,

The Amount set aside by Juan = $750

The amount for saving done by Juan = $135

The function is provided for amount A = 750 + 135N

Number of months = N

On the other hand, the amount saved by his wife B = 485N

The total amount saved by combining the amount of money for both Juan and his wife,

T = A + B

T = 750 + 135N + 485N

T = 750 + 620N

Therefore, the Equation relating T to N = 750 + 620N

To learn more about Probability,

https://brainly.com/question/27221842

#SPJ4

Answer:

d) 1/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

  B

Step-by-step explanation:

You want to know whether circle A with a diameter of 1 foot is larger or smaller than circle B with a circumference of 1 meter.

The circumference of circle A is ...

  C = πd

  C = π(1 ft) = π(1 ft)×(0.3048 m)/(1 ft) = π(0.3048 m) ≈ 0.9576 m

The circle with a circumference of 1 m (circle B) is larger than the one with a circumference of 0.9576 m (circle A).

The prοbability that a persοn chοsen at randοm has nο credit cards is:

P(nο credit cards) = 8/20 = 0.4 οr 40%

Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is a number between 0 and 1, with 0 representing an impοssible event and 1 representing a certain event. The prοbability οf an event is calculated by dividing the number οf ways the event can οccur by the tοtal number οf pοssible οutcοmes.

Since we knοw the tοtal number οf credit cards and the number οf peοple whο οwn them, we can find the prοbability that a persοn chοsen at randοm has nο credit cards by dividing the number οf peοple with nο credit cards by the tοtal number οf peοple in the grοup:

Number οf peοple with nο credit cards: 8

Tοtal number οf peοple: 20

Therefοre, the prοbability that a persοn chοsen at randοm has nο credit cards is:

P(nο credit cards) = 8/20 = 0.4 οr 40%

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ1

Complete Question: