An ideal gas undergoing adiabatic (thermodynamic) process can be represented by the equation PV^y=constant, where P is pressure, V is volume. For a diatomic gas, y=7/5. Suppose a container of nitrogen is undergoing a reversible adiabatic process and at a certain time, V=4m^3, {=0.8kg/m^2, and P is increasing at 0.28k/(m^2*s). What is the rate of change of V?

Answer:

3*4

=12 sq. cm

= 12 cm²

Answer:

48cm^{2}

Step-by-step explanation:

\(A=4ah=4*4*3=48 cm^{2}\)

Answer:

The Great Western Trail = 4,455 miles

Step-by-step explanation:

The Iditarod Trail = 1,025 miles long

The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.

The Great Western Trail = (4 × 1,025) miles + 355 miles

= 4,100 miles + 355 miles

= 4,455 miles

The Great Western Trail = 4,455 miles

Answer:

x= -6

Step-by-step explanation:

28=3x - 7x + 4

Combine Like Terms:

28= -4x + 4

Subract four from both sides (in order to isolate the variable):

24= -4x

Divide by -4 from both sides:

x= -6

Answer:

x= -6

Step-by-step explanation:

1. Subtract the x's

28 = -4x + 4

2. Subtract the 4 by both sides

(28 - 4) = -4x + (4-4)

3. Solve

24 = -4x

4. Divide Both sides by -4

24/-4 = -4/-4 x

5. Solve

-6 = x or x = -6

You will be required to pay $130.92 in interest. So, option 2 is correct.

Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.

This specific percentage represents the loan's interest rate. The cost of borrowing money is called interest, and it is usually expressed as a percentage, such as an annual percentage rate (APR). Interest may be paid to lenders for the use of their money.

You shell out $875.00 for a PC plus 5% sales tax.

Thus, the final price is 875+(0.05875)

= $918.75.

Rate per month: 14.25/12/100

= 0.011875

So, the rate for a year is 12 x 0.011875

=$130.92.

Therefore, you will be required to pay $130.92 in interest.

Hence, option 2 is correct.

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Answer:

x = 2

Step-by-step explanation:

To solve for x, isolate it by dividing both sides of the equations by 5.

5x / 5 = 10 / 5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x = 10

Divide both sides by 5.

x = 2

Answer:

the slope is -1/4 throughout the line.

Step-by-step explanation:

the slope of a line never changes anywhere on the line. otherwise it would not be a line.

the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.

and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).

therefore -1/4

Answer:

3rd option

Step-by-step explanation:

The line has the same slope over the whole line

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)

m = \(\frac{3-0}{-12-0}\) = \(\frac{3}{-12}\) = - \(\frac{1}{4}\)

The slope is - \(\frac{1}{4}\) throughout the line

Answer:

well the answer is... and then you... which leads to.....

Step-by-step explanation:

This shifts the graph down 1 unit, reflects over the x axis, then vertically dilates by a factor of 2.

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Explanation:

Refer to the figures below. The screenshots may be a bit on the big side, so brainly might attempt to reduce the size. To fix this, click on the magnifying glass to get a better look. There are 4 images in total.

Figure 1 is the original graph your teacher gave you.

Figure 2 shows the translation of the parabola 1 unit down. This aligns the right piece of the red parabola to the green V curve. This junction location is (1,0).

Afterward, in figure 3, we reflect the parabola over the x axis to have the left endpoint of the parabola (-3,8) move to (-3,-8). Unfortunately the (-3,-8) doesn't match up with the right most piece of the blue cubic curve.

Luckily, a quick fix is to double the y coordinate from -8 to -16 and the two pieces match perfectly. The other junction is (-3,-16). This is shown in figure 4.

To summarize, we did these transformations in the order presented.

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

Now to shift down 1 unit, we subtract 1 from each g(x) output.

Therefore, we go from g(x) to g(x)-1

Reflect over the x axis to get -(g(x) - 1) = -g(x) + 1

Lastly, we double everything when applying the dilation mentioned to end up with the final answer:  -2*g(x) + 2

You can use a tool like GeoGebra to check your work. It's the app I used to make the figures shown below.

Answer:

The prime factorization of 21 is;

Explanation:

We want to find the prime factorization of 21;

The number 21 is a product of 3 and 7;

since 3 and 7 are both prime number, then the prime factorization of 21 is;

The transformation in each g(x) is:

A)

This is a vertical compression of f(x) by a factor of 1/3.

B)

This is a vertical stretching of f(x) by a factor of 2.

C)

This is a vertical compression of f(x) by a factor of 1/2.

D)

This is a vertical stretching of f(x) by a factor of 3.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

f(x) = x²

The transformation applied f(x) to get each g(x).

A.

g(x) = 1/3 x²

This is a vertical compression of f(x) by a factor of 1/3.

B.

g(x) = 2x².

This is a vertical stretching of f(x) by a factor of 2.

C.

g(x) = 1/2 x².

This is a vertical compression of f(x) by a factor of 1/2.

D.

g(x) = 3x²

This is a vertical stretching of f(x) by a factor of 3.

Thus,

The transformation in each g(x) is:

This is a vertical compression of f(x) by a factor of 1/3.

This is a vertical stretching of f(x) by a factor of 2.

This is a vertical compression of f(x) by a factor of 1/2.

This is a vertical stretching of f(x) by a factor of 3.

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The complete question.

We have f(x) = x².

The function f(x) has been transformed to give g(x).

Find the transformation for each g(x).

A. g(x) = 1/3x²

B. g(x) = 2x²

C. g(x) = 1/2x²

D. g(x) = 3x²

Answer:

$90

Step-by-step explanation:

$120 x .75 = $90

Answer:

4

Step-by-step explanation:

-48/2 ÷ (-6)

-24 ÷ (-6)

4

Answer:

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

Step-by-step explanation:

There is no explanation

The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

\(slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1\)

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

To find coterminal angles, you have to either add or subtract 2π. In this case, you would use 8π/4 so there is a common denominator.

Positives:

-3π/4+8π/4 = 5π/4

5π/4+8π/4 = 13π/4

Negative:

-3π/4-8π/4 = -11π/4

-11π/4-8π/4 = -19π/4

In geometry, an angle measure is the length of the angle formed by two rays or arms intersecting at a common vertex.

Using a protractor, angles are measured in degrees (°). Joseph Huddart created the protractor in 1801. It was a more sophisticated protractor.

The angle created at the center of a circle is measured in radians, the unit of angular measurement. It is described as an angle that subtends from a circle's center and intercepts at an arc with a radius equal to the circle's radius. 57.3° is equal to one radian.

Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation are the names of basic angles.

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Answer:

Rachel would need 45cm of tape to wrap 15 presents.

Step-by-step explanation:

Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.

Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.

I hope this helps you in any way.

Answer:

N'(2, 3)

Step-by-step explanation:

my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.

hope this helps ;)

Answer:

  see attached

Step-by-step explanation:

You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.

A line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.

The attached figure shows the location of image point N'(-2, -3).

__

Additional comment

The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:

  (x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis

Answer:

1. 2:5, 4 : 10, 6 : 15, 8 : 20

2. 4:1, 8 : 2, 12 : 3, 16 : 4

3. 2:14, 4 : 28, 6 : 42, 8 : 56

4. 3:8, 6 : 16, 9 : 24, 12 : 32

5. 5:6, 10 : 12, 15 : 18, 20 : 24

Step-by-step explanation:

1. 2:5,

4 : 10 = 2 : 5

6 : 15= 2:5

8 : 20=2:5

2. 4:1

8 : 2 = 4 : 1

12 : 3 = 4:1

16 : 4= 4:1

3. 2:14

4 : 28 = 2 ;14

6 : 42 = 2:14

8 : 56 = 2:14

4. 3:8

6 : 16 =3 : 8

9 : 24 = 3:8

12 : 32 = 3:8

5. 5:6

10 : 12 = 5 : 6

15 : 18 = 5 : 6

20 : 24 = 5 : 6

1. 2:5, 4 : 10, 6 : 15, 8 : 20

2. 4:1, 8 : 2, 12 : 3, 16 : 4

3. 2:14, 4 : 28, 6 : 42, 8 : 56

4. 3:8, 6 : 16, 9 : 24, 12 : 32

5. 5:6, 10 : 12, 15 : 18, 20 : 24

Three consecutive ratios equivalent to given ratio shown below.

                        \(\frac{2}{5}=\frac{4}{10},\frac{6}{15},\frac{8}{20}\\\\\frac{4}{1} =\frac{8}{2} ,\frac{`12}{3},\frac{16}{4}\\\\\frac{2}{14}=\frac{6}{42} ,\frac{8}{56} ,\frac{10}{70}\\\\\frac{3}{8}=\frac{6}{16} ,\frac{12}{32} ,\frac{15}{40}\)

To find three consecutive ratios of given ratio, multiply numerator and denominator by 1, 2 and 3 respectively.

After multiplying We get,

                     \(\frac{2}{5}=\frac{4}{10},\frac{6}{15},\frac{8}{20}\\\\\frac{4}{1} =\frac{8}{2} ,\frac{`12}{3},\frac{16}{4}\\\\\frac{2}{14}=\frac{6}{42} ,\frac{8}{56} ,\frac{10}{70}\\\\\frac{3}{8}=\frac{6}{16} ,\frac{12}{32} ,\frac{15}{40}\)

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Total area = 278 yd 2

Cost = $15.98 per a 7-pound bag

1 pound of grass = 150 ft2

Convert the area to ft2

1 yd2 --------------------- 9 ft2

278 yd2 -------------------- x

x = 2502 ft2

1 pound of grass ----------------- 150 ft2

x ----------------- 2502 ft2

x = (2502 x 1) / 150

x = 16.68 pounds of grass

$15.98 ---------------------------- 7 pounds

x --------------------------- 16.68 pounds

x = (16.68 x 15.98) / 7

x = $38

When a right rectangular prism with a square base is sliced in a direction parallel to the base, the resulting cross section is a square.

The parallel plane will intersect all the edges of the square base at the same distance from the top face of the prism, creating a new square.

The size of the resulting square will depend on the distance between the plane and the top face of the prism. If the plane is closer to the top face, the resulting square will be larger. If the plane is further away, the resulting square will be smaller.

It is important to note that if the plane is not parallel to the base, the resulting cross section will be a rectangle. This is because the plane will intersect the edges of the base at different distances from the top face of the prism, creating a new rectangle.

Understanding the resulting cross section of a sliced right rectangular prism can be useful in real-world applications, such as in architecture and engineering, where precise measurements and cutting are necessary for construction projects.

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Answer:

9.07571212

Step-by-step explanation:

To solve this we first need to find the area of the circle, r squared times pi

4 x 4 x pi = 50.2654825

Now we multiply this by 65/360, 50.2654825 x 65/360 = 9.07571212

The shaded sector covers 9.07571212 square inches.

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The amount of loss contributing to a reliability objective of 99.993% is 38.0003333 dB.

In telecommunications and networking systems, reliability is a crucial factor that measures the probability of a system or component functioning without failure over a specified period. It is often expressed as a percentage or in terms of the number of "nines" (e.g., 99.99% represents "four nines" reliability). Loss, on the other hand, refers to the degradation or attenuation of a signal or information as it travels through a system. In this case, we are calculating the amount of loss that contributes to achieving a reliability objective of 99.993%.

The unit used to quantify loss in telecommunications is decibels (dB). Decibels represent the logarithmic ratio of the input signal power to the output signal power, providing a convenient way to express signal attenuation or amplification. To determine the amount of loss contributing to a reliability objective, we can use statistical models and calculations based on the desired reliability level. In this scenario, the loss contributing to a reliability objective of 99.993% is calculated to be 38.0003333 dB.

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Solution:

From the given table;

Where, the November values is used as 100 percent;

To find the missing percentages of Elm leaves

For the month of May

To find the missing percentages of Hazel leaves

What is the independent and dependent variable?

An independent variable is a variable that does not depend on any other variable.

For example,

x is an independent variable because for every value of x, there is a different value of y

A dependent variable is a variable whose value depends upon an independent variable.

For example;

From the expression above, the value of y depends on the value of x

The standard normal probability table can only be used to compute probabilities for normal random variables with parameters μ = 0 and σ = 1. The correct statement among the given options is e.

a. The statement in option a is incorrect. While the standard normal distribution is commonly used as a model in various statistical analyses and is often used as an approximation for naturally arising populations, it does not always perfectly represent the characteristics of all naturally occurring populations.

b. The statement in option b is incorrect as not all given statements are correct.

c. The statement in option c is incorrect. If a random variable X is normally distributed with parameters μ and σ, then the mean of X is indeed μ, but the variance of X is σ², not "o" as stated in the option.

d. The statement in option d is incorrect. The cumulative distribution function (CDF) of a standard normal random variable Z is denoted as P(Z ≤ z), not P(Z = z). The CDF provides the probability that Z takes on a value less than or equal to a given value z.

Therefore, the correct statement is e, which states that the standard normal probability table can only be used to compute probabilities for normal random variables with parameters μ = 0 and σ = 1.

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The steps are given in option B and option C are used in paper folding.

When we simply fold the paper in such a manner that we can achieve our objectives, the method is called Paper Folding.

Now, WE get;

Option A can not be accomplished as we need the proper equipment to construct the circle.

Option B can be done by folding the paper along the point.

Option C can be done by folding the paper in the exact half measure.

Option D can not be done.

Hence, the steps are given in option B and option C are used in paper folding.

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Work Shown:

Plug in x = 0

\(g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\\)

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

\(g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\\)

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

\(m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\\)

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

Answer: 1.616 of adding and subtracting will be 1.476

Step-by-step explanation:

Answer:

1.616

Step-by-step explanation:

Too easy to explain. Sorry.

To compute a heaviest Longest Increasing Subsequence (LIS) in a given sequence efficiently with a time complexity of O(n), we can use the concept of dynamic programming.

The algorithm follows these steps: 1. Initialize two arrays, "lis" and "sum," both of size n, where n is the length of the sequence. The "lis" array will store the length of the LIS ending at each element, and the "sum" array will store the maximum sum of the LIS ending at each element.

2. Initialize the "lis" and "sum" arrays with values of 1 and the corresponding element values of the sequence, respectively.

3. Traverse the sequence from left to right. For each element, compare it with all previous elements. If the current element is greater than the previous element and the sum of the LIS ending at the previous element plus the current element is greater than the sum at the current element, update the "lis" and "sum" arrays accordingly.

4. Finally, find the element in the "sum" array with the maximum value and trace back the LIS by following the indices stored in the "lis" array.

By following these steps, we can compute a heaviest LIS in linear time, O(n), where n is the length of the input sequence. The dynamic programming approach allows us to efficiently update and store the necessary information for calculating the maximum sum.

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