Suppose a pressure wave is modeled by P=Arho xsin[Ω t] The pressure wave has the dimensions of mass divided by length divided by time squared. rho has dimensions of mass divided by length cubed. x has dimensions of length. t has dimensions of time. What are the dimensions of A and Ω ?

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

7 1/6

Step-by-step explanation:

1 1/2 +3 1/2= 5 = 2 1/6

=

Answer:

You spent 7 1/6 hours doing the task

Step-by-step explanation:

1 1/2 (hours researching) + 2 1/6 (hours writing) = 3 2/3 (hours researching and writing)

3 2/3 (hours spent researching and writing) + 3 1/2 (hours editing) = 7 1/6 (hours doing the task)

Answer:

Step-by-step explanation:

9 is 16.12

11 is 38.36

13 is 9

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

21.5518292683

Step-by-step explanation:

7069 / 328 = 21.5518292683

Answer:

I think option D

if u want explanation feel free to ask

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Answer:

x= 376

Step-by-step explanation:

100/25=4

94*4=376

Answer:

table

x = 4, 1, 5, 10

y = 10, 2.5, 12.5, 25

yes the ratios are equivalent

Step-by-step explanation:

10/4 = k

k = 2.5

for x

12.5/2.5 = 5

for y

1 x 2.5 = 2.5

10 x 2.5 = 25

ratio

as they all have the same constant (k), 2.5

Answer:

5 days

Step-by-step explanation:

We can use ratios to solve

2 vacation days         x vacations days

------------------------  = ---------------------------

30 days worked            75 days worked

Using cross products

2 * 75 = 30 x

150 = 30x

Divide each side by 30

150/30 = 30x/30

5 =x

Answer: \(\Large\boxed{Total~vacation=5~days}\)

Step-by-step explanation:

Given information

2 vacations for every 30 days of work

Total days = 75 days

Find the rate for 1 vacation

30 days / 2 vacation

1 vacation = 30 ÷ 2 = 15 days

Given expression

Total vacation = Total days of work ÷ rate of 1 vacation

Substitute values into the given expression

Total vacation = (75) ÷ (15)

\(\Large\boxed{Total~vacation=5~days}\)

Hope this helps!! :)

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Answer:

She needs 6 ounces of peanut butter chips.

hope this helped :-)

Step-by-step explanation:

10:5=2

1/5 = 2

1/5+1/5+1/5=

2+2+2=

2*3=6

From the given picture, we can see a cylinder in option A. Strictily speaking, a cylinder is not a prism as the other options because a prism has edges, vertices and faces and the cylinder has not faces in the circular shape. Therefore, the answer is option A (cylinder)

The average 6:00 a.m. temperature for the four consecutive days is -10.5°C.

The 6:00 a.m. temperatures for four consecutive days in the town of Lincoln = - 12.1 °C, -7.8°C, -14.3°C, and -7.2 °C

The average is equal to the sum of all the data values divided by the count of values in the data set.

Average = X₁ + X₂ + X₃ +...Xⁿ ÷ n

The sum of all the temperatures for four consecutive days = -12.1 + (-7.8) + (-14.3) + (-7.2)

= -41.4

Here we have n = 4.

The average 6:00 a.m. temperature for the four days = -41.4 ÷4

                                                                                    = -10.5°C

Hence we got the average 6:00 a.m. temperature for the four consecutive days is -10.5°C.

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The total distance is 5 miles, and the total time taken by Llya is 1.06 hours. and Llya's average speed is 4.72 mph.

Given data:

Total Distance= 5 miles

Anya's speed= 3.4 mph

Llya's speed= 7.7 mph

Let's first calculate the time taken by Anya to cover the distance.

She walked half the distance, which is 5/2 = 2.5 miles

Distance covered while walking= 2.5 miles

Time taken to walk this distance:

Time = Distance/Speed = 2.5/3.4 = 0.735 hours

Now, she ran the other half of the distance, which is also 2.5 miles.

Distance covered while running= 2.5 miles

Time taken to run this distance:

Time = Distance/Speed = 2.5/7.7 = 0.325 hours

Total time taken by Anya= 0.735+0.325= 1.06 hours

Now, let's calculate the time taken by Llya.

Llya walked the same distance as Anya did, i.e., 2.5 miles.

Time taken to walk this distance:

Time = Distance/Speed = 2.5/3.4 = 0.735 hours

Now, he ran the other half of the distance, which is also 2.5 miles.

Distance covered while running= 2.5 miles

Time taken to run this distance: Time = Distance/Speed = 2.5/7.7 = 0.325 hours

Total time taken by Llya= 0.735+0.325= 1.06 hours

Therefore, the time taken by Llya to cover the distance is 1.06 hours. 1.06 hours = 63.6 minutes

Therefore, Llya takes 1.06 hours to cover the distance, and his average speed is calculated by dividing the total distance by the total time taken.

The total distance is 5 miles, and the total time taken by Llya is 1.06 hours.

Therefore, Llya's average speed is (5/1.06) = 4.72 mph.

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There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

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its 2 and 3/4

cause 3/8*2 simplifys to 3/4

Answer:

2+2*3/8=2+.75=2.75

Step-by-step explanation:

You always want to multiplay before you add. You multiply the 2 by the 3/8 and add the two.

Answer:

The 3 digit number 642 when multiplied 97 gives the greater product.

Step-by-step explanation:

The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.

The greater three digit number will be 976 and smaller 2 digit number would be 42

Multiplying

976*42 = 40992   ( descending order number)

679 *24= 16,296  ( ascending order number)

If we take the 2 digit number as 97 and  3digit number 642

Then multiplying

642* 97= 62,274  ( descending order  number)

246 * 79=19434   ( ascending order number)

The 3 digit number 642 when multiplied 97 gives the greater product.

The surface area of the cylinder, given the diameter, can be found to be 18. 84 inch .

The surface area of a cylinder can be found by the formula :

= 2 π r ² + 2 π h

The radius can be found to be:

= Diameter / 2

= 2 / 2

= 1 inch

The value of π is 3. 14.

This means the surface area would be:

= (2 x 3. 14 x 1 x 1) + (2 x 3. 14 x 1 x 2 )

= 6. 28 + 12. 56

= 18. 84 inch

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Answer:

Wind it back

Step-by-step explanation:

Potential energy is when something has the ability to become kinetic energy so when you wind it back it gets poteinal energy and when released it becomes kinetic.

pls give brainlist me the world

Answer:

To find the domain and range, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain. To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y)

Step-by-step explanation:

Thats basically it I think

The IQ score distribution follows a normal curve and is distributed with a mean of 100 and a standard deviation of 15. The 68-95-99.7 rule states that approximately 68% of the population falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To find the probability that a person selected at random has an IQ greater than 100, we need to calculate the z-score first. The z-score formula is given by:
z = (X - μ) / σ
where X is the IQ score, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:
z = (100 - 100) / 15
z = 0

A z-score of 0 means that the IQ score is equal to the mean. Since we want to find the probability of a person having an IQ score greater than 100, we need to find the area under the normal curve to the right of z = 0. Using a standard normal distribution table or a calculator, we can find this area to be approximately 0.5 or 50%. Therefore, the probability that a person selected at random has an IQ greater than 100 is 50%.

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In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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Answer:

c

Step-by-step explanation:

the polynomial in standard form is 5x³ - 3x² + 2x + 6. To write a polynomial in standard form, we need to arrange its terms in descending order of the degree of the variable. In this case,

Therefore, the polynomial in standard form is 5\(x^{3}\) - 3\(x^{2}\) + 2x + 6. It is important to note that the standard form of a polynomial helps us easily identify the degree of the polynomial, which is the highest power of the variable in the polynomial. In this case, the degree of the polynomial is 3.
The given polynomial is: 2x - 3x² + 6 + 5x³. To write it in standard form, we need to rearrange the terms in decreasing order of their degrees (exponents).
Standard form of a polynomial is written as: a_n\(x^{n}\) + a_(n-1)\(x^{n-1}\) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_1, and a_0 are coefficients and n is the degree of the polynomial.

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Answer:

y = 5x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)

m = \(\frac{9-4}{2-1}\) = \(\frac{5}{1}\) = 5 , then

y = 5x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (3, 14 ) , then

14 = 15 + c ⇒ c = 14 - 15 = - 1

y = 5x - 1 ← equation of line

The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.

Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.

Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

\(\$6\)

Step-by-step explanation:

Given

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Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

\(Dial\ Up = \$5 : 100\)

and

\(Ring\ Ring= \$8 : 200\)

Multiply the dial-up by 6 to get the cost of 600

\(Dial\ Up = \$5 *6 : 100 * 6\)

\(Dial\ Up = \$30 : 600\)

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

\(Ring\ Ring= \$8 *3: 200*3\)

\(Ring\ Ring= \$24: 600\)

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

\(d = \$30 - \$24\)

\(d = \$6\)

Answer:

3 seats

Step-by-step explanation:

3 seat between them

Answer:

Step-by-step explanation:

3x + 2 = 7(3 - x)

3x + 2 = 21 - 7x

3x + 7x = 21 - 2

10x = 19

 x = 1.9

\(26-x-4 = 26 - 1.9 -4 = 20.1\)