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We need to use the ideal gas law equation: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. First, we need to convert the temperature from Celsius to Kelvin by adding 273.15. Therefore, 0.597 moles of CO are contained in the balloon if the temperature of the balloon is 73.0 c.

So the temperature is 346.15 K. Next, we can rearrange the ideal gas law equation to solve for n, the number of moles: n = PV/RT. Plugging in the given values, we get n = (109 kPa * 4.75 L)/(0.0821 L•atm/mol•K * 346.15 K) = 0.597 moles of CO. Finally, we can convert moles to grams using the molar mass of CO (28 g/mol): 0.597 moles * 28 g/mol = 16.7 grams of carbon monoxide in the balloon. We can conclude that the calculation of the amount of carbon monoxide in the exhaustion pipe depends on the volume, pressure, and temperature. We need to use the ideal gas law equation to calculate the number of moles of CO, and then convert it to grams using the molar mass.

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The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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Answer:

D

Step-by-step explanation:

Given

- (x + 3) - 2(4x - 3) ← distribute both parenthesis

step 1

= - x - 3 - 8x + 6 ← collect like terms

step 2

= - 9x + 3

Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

The given polar equation is r = 6 cos θ. Converting it to rectangular form, we get x = 6 cos θ and y = 6 sin θ. The graph of this equation will be a cardioid centered at the origin, with a radius of 6.

To convert the polar equation r = 6 cos θ to rectangular form, we can use the trigonometric identities x = r cos θ and y = r sin θ. Substituting the values, we get x = 6 cos θ and y = 6 sin θ. These equations represent the coordinates (x, y) in terms of the angle θ.

To sketch the graph, we can observe that the equation x = 6 cos θ represents a horizontal line that oscillates between -6 and 6 as θ varies. Similarly, the equation y = 6 sin θ represents a vertical line that oscillates between -6 and 6 as θ varies.

Combining these equations, we can plot the graph by taking various values of θ and computing the corresponding (x, y) coordinates. The resulting graph will be a cardioid, which is a heart-shaped curve centered at the origin, with a radius of 6 units. The curve starts at the point (6, 0), moves upward, forms a loop, and returns to the point (-6, 0) before completing the loop.

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When applying a primitive procedure to its parameters in programming, the procedure to be applied and the arguments it should be applied to are normally specified using the syntax of the programming language.

Depending on the programming language being used, the precise syntax for applying a primitive procedure may differ, but generally speaking, it entails writing the name of the procedure followed by the inputs that it to be applied to, contained in parentheses.

For instance, in the Python programming language, you might use the syntax shown below to apply the primitive procedure print to the string argument "Hello, world!". The syntax would be:

print("Hello, world!")

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Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

Option (A), I = integral_0^2 integral_y/2^1 f(x, y) dx dy. We integrate over y first, from 0 to 2x, and then over x from 0 to 2.

To reverse the order of integration in the given integral I = integral_0^2 integral_x/2^1 f (x, y) dy dx, we need to first sketch the region of integration. This can be done by plotting the line y=2x and the boundaries x=0 and x=2. The region of integration is a triangular shape with vertices at (0,0), (2,0), and (2,4).
To reverse the order of integration, we need to integrate over y first and then x. This means we need to find the limits of integration for y. Since the region is bounded by the line y=2x, the limits of integration for y will be from y=0 to y=2x.
Thus, the answer is option a. I = integral_0^2 integral_y/2^1 f(x, y) dx dy. We integrate over y first, from 0 to 2x, and then over x from 0 to 2.
It is important to note that reversing the order of integration does not change the value of the integral, only the way it is evaluated.

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer:

D

Step-by-step explanation:

av= absolute value

av of 238 = 238

av of -28 = 28

av of -14 = 14

238 (+) 28 (-) 14 = 252

238 + 28 = 266

266 - 14 = 252

therefore 252 is the correct answer

hope this helped ^^

Answer:

itss the internet wht do u expect

Answer:

9x -5

1/2(6x +22)

2(x-7)-9

x2 -11

Answer:  91 is 70% of 130

Step-by-step explanation:

:)

Answer:

130

Step-by-step explanation:

70% of 130 = 91

Answer:

∠ ABC = 127°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle , then

∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°

We know that we have a triangle and we want to find the value of its angle which will be given by  53°.

We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:

\(ABC=180\)

Now making the sum of the angles already known and equating to 180, we find that:

\(180=67+60+x\\x=180-127\\x= 53\)

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Taking into account the definition of a system of linear equations, on Thursday 92 adult tickets were sold.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown, so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

So, the system of equations to be solved is

a + c= 160

6.30c + 9.50a= 1302.40

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "c" from the first equation:

c= 160 - a

Substituting this expression in the second equation:

6.30× (160 -a) + 9.50a= 1302.40

Solving:

6.30×160 -6.30a + 9.50a= 1302.40

1008 -6.30a + 9.50a= 1302.40

-6.30a + 9.50a= 1302.40 - 1008

3.2a= 294.4

a= 294.4 ÷3.2

a= 92

Finally, that day 92 adult tickets were sold.

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At 1 hour, 3 hours and 6.5 hours she travels 36 miles, 108 miles and 234 miles respectively using the concept of average speed of an object.

As per the question statement, Clare covers a distance of 0 miles, 72 miles, 144 miles and 216 miles in 0 hours, 2 hours, 4 hours and 6 hours respectively.

We are supposed to find out the distance travelled by her in 1 hour, 3 hours and 6.5 hours.

We will use the concept of average speed of an object which is as follows

average speed = total distance divided by the total time taken

average speed = 216/6 = 36 miles per hour

Hence at 1 hour, distance = 1 * 36 = 36 miles

at 3 hours, distance = 3 * 36 =108 miles

at 6.5 hours, distance = 6.5 * 36 = 234 miles

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Answer: Resultant force = 114.96 pounds at angle 81.76°

Answer: magnitude = 114.96 lbs, direction =  88.21°

Step-by-step explanation:

Vector A: 150 lbs at  40°

Vector B: 100 lbs at 170°

Slide Vector B onto Vector A so you have a head to tail connection.

Calculate the angle between the vectors (50°).

Use Law of Cosines to find the magnitude of the resultant vector.

Use Law of Sines to find the direction of the resultant vector.

Law of Cosines:  c² = a² + b² - 2ab cos θ

Given: a = 150, b = 100, C = 50°

c² = (100)² + (150)² - 2(100)(150) cos 50°

c = 114.96

Law of Sines:

\(\dfrac{\sin A}{a}=\dfrac{\sin C}{c}\\\\\text{Given: a=150, c=114.96, C=50}^o\\\\\\\dfrac{\sin A}{150}=\dfrac{\sin 50^o}{114.96}\\\\\\\sin A=\dfrac{150\sin 50^o}{114.96}\\\\\\A=\sin^{-1}\bigg(\dfrac{150\sin 50^o}{114.96}\bigg)\\\\\\A=88.21^o\)

The curl of the vector field F = 2e^x sin(y)i + 8e^y sin(z)j + 3e^z sin(x)k is given by curl(F) = (cos(x) + 2)j - (3cos(x) - 2e^z)k.

To find the curl of a vector field, we need to compute the cross product of the del operator (∇) with the vector field. The del operator in Cartesian coordinates is given by ∇ = ∂/∂x i + ∂/∂y j + ∂/∂z k.

Let's calculate the curl of the vector field F:

curl(F) = (∇ x F)

Using the del operator, we can calculate the cross products of the del operator with the vector field components:

∇ x (2e^x sin(y)i) = (∂/∂y(2e^x sin(y)) - ∂/∂z(2e^x sin(y)))j + (∂/∂z(2e^x sin(y)) - ∂/∂x(2e^x sin(y)))k

= (2e^x cos(y))j - 0k

= 2e^x cos(y)j

∇ x (8e^y sin(z)j) = (∂/∂z(8e^y sin(z)) - ∂/∂x(8e^y sin(z)))k + (∂/∂x(8e^y sin(z)) - ∂/∂y(8e^y sin(z)))i

= (8e^y cos(z))k - 0i

= 8e^y cos(z)k

∇ x (3e^z sin(x)k) = (∂/∂x(3e^z sin(x)) - ∂/∂y(3e^z sin(x)))i + (∂/∂y(3e^z sin(x)) - ∂/∂z(3e^z sin(x)))j

= 0i - (3e^z cos(x))j

= -3e^z cos(x)j

Adding these results together, we get:

curl(F) = 2e^x cos(y)j + 8e^y cos(z)k - 3e^z cos(x)j

= (cos(x) + 2)j - (3cos(x) - 2e^z)k

Therefore, the curl of the vector field F is given by curl(F) = (cos(x) + 2)j - (3cos(x) - 2e^z)k.

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Answer:

X intercepts are found when y is equal to zero.  

0=2x+4

2x= -4

2x/2= -4/2

x= -2

Hopefully this helps!

Explanation:

The probability of snow on any given day in January is 58%

We can re-interpret this to mean that about 58% of the days in January will likely get snow. If this pattern keeps up, then it's estimated 58% of the 28 days in February would also get snow.

58% of 28 = 0.58*28 = 16.24 which rounds to 16

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, \(\overline x\) = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

\(t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}\)

Therefore, we have;

\(t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817\)

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

Answer:

Step-by-step explanation:

C

Answer:

B

Step-by-step explanation:

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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Answer:

d. No, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

It doesnt give u measures of some important angles. I also got it right

Answer:

D. no, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

edge2021

Answer:

Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it cost to full an 18 gallon tank?

or

Jacob ran 10 miles in 80 minutes. At that rate how far would he run in 2.5 hours?

The SRED Credit remainder after applying the maximum SRED Credit for this year is $0. This means that the company has fully utilized the maximum SRED credit available for the current year.

The Scientific Research and Experimental Development (SRED) program is a tax incentive program offered to companies for conducting eligible research and development activities. The SRED credit is calculated based on the qualified SRED expenses incurred during the year.

In this scenario, the company has qualified SRED expenses of $10,000 for the current year. However, the SRED credit remainder is determined after applying the maximum SRED credit for the year. The maximum SRED credit represents the maximum allowable amount that can be claimed as a credit.

Since the SRED Credit remainder is $0, it indicates that the company has already utilized the maximum SRED credit available for this year. Therefore, there is no remaining credit to be applied, and the company will not receive any additional credit for its qualified SRED expenses.

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Step-by-step explanation:

Using Pythagorean theorem for right triangles, c^2 = a^2 + b^2 .

Solving for a results in a = sqrt ( c^2 - b^2) .

Solving for b results in b = sqrt (c^2 - a^2) .

Solving for c results in c = sqrt (a^2 + b^2)

Answer:

Step-by-step explanation:

I am supposing that this is a right triangle.

1) Length of side a

a² + b² = c²

a² = c² - b²

√a² = \(\sqrt{c^{2} - b^{2} }\)

2)

a² + b² = c²

b² = c² - a²

√b² = \(\sqrt{c^{2} - a^{2} }\)

3

a² + b² = c²

\(\sqrt{a^{2} + b^{2} }\)   = \(\sqrt{c^{2} }\)

The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.

This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.

Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.

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Use the point to find the value of either a or p depending on the orientation of the parabola. Substitute the values of h, k, and a or p into the standard form equation of a parabola to get the equation of the parabola in standard form.

The main answer is:Assuming that the orientation of the parabola is upward, the equation of the parabola in standard form is (y - k) = a(x - h)². Given the vertex and a point on a parabola, the coordinates of the vertex are (h, k). Let the point on the parabola be (x₁, y₁).We have h, k, x₁, and y₁. Our next step is to find the value of a using the point (x₁, y₁). Since the orientation of the parabola is upward, the value of a is positive.

This distance is also equal to the distance between (x₁, y₁) and the directrix. Hence,d = |y₁ - p|, where p is the distance between the vertex and the directrix.Since the vertex is the midpoint between the focus and the directrix, then the distance between the vertex and the focus is also p. Therefore, 4p = |y₁ - k|². This is because the distance between the vertex and the focus is equal to four times the distance between the vertex and the directrix.

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