Evaluate SF.ds 3 2 F(x, y, z) = (2x³ +y³) i + (y ²³ +2²³)j + 3y ² z K s is the surface of the solid bounded by the paraboloid z=1-x² - y² and the xy plane with positive orientation.. part

Answer:

Problem is explained in images

Answer:

246 cm

Step-by-step explanation:

So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle).  Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144

144+48+54= 246

The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

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Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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In Algebra 2, students typically use a scientific calculator.

A scientific calculator has advanced functions beyond basic arithmetic operations.

Some of the functions commonly used in Algebra 2 include logarithms, exponents, trigonometric functions, and statistical calculations. Therefore, a scientific calculator with these functions would be most useful for Algebra 2.

Examples of calculators that are often used in Algebra 2 include the TI-84 Plus , the TI-Nspire CX, the Casio fx-9750GII, and the HP Prime Graphing Calculator.

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One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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Answer: Using the similar triangles property, we can set up the following equation:

h/20 = (h+70)/28

Solving for h, we get:

h = 280/9

h is approximately equal to 31.1 cm.

Step-by-step explanation:

Answer:

48 plastic bandages.

Step-by-step explanation:

The ratio 3 to 9 entails that for every 3 fabric bandages there should be 9 plastic bandages. For 16 fabric bandages, there should be...

\(16 \: \times \: \frac{9}{3} \: = \: 16 \: \times \: 3 \: = \: 48\)

... plastic bandages.

The income elasticity of demand measures the percentage change in quantity demanded of a good in response to a one percent increase in income.

The demand function for a good (Q) depends on its price (P), the price of another good (PA), and income (Y),

Given by: \(Q = 9 (1/2)P + (1/2)PA + 3Y.\)

The three first-order partial derivatives for this function are:

\(∂Q/∂P = 9/2\\∂Q/∂PA = 1/2\\∂Q/∂Y = 3\)

They can be calculated as follows:

\(E_p = (∂Q/∂P)(P/Q)\\E_PA = (∂Q/∂PA)(PA/Q)\\E_Y = (∂Q/∂Y)(Y/Q)\)

Substituting P = 10, PA = 16, and Y = 50 into the demand function, we can calculate the values:

\(Q = 9 (1/2)(10) + (1/2)(16) + 3(50) = 205\)

Own-price elasticity of demand:

\(E_p = (9/2)(10/205) ≈ 0.22\)

Cross-price elasticity of demand:

\(E_PA = (1/2)(16/205) ≈ 0.04\)

Income elasticity of demand:

\(E_Y = (3/205)(50/205) ≈ 0.07\)

Based on the calculated elasticities:

1. The demand for this product is relatively inelastic with respect to price since E_p < 1.

2. The two goods are substitutes since the cross-price elasticity E_PA is positive.

3. The good is a superior good since the income elasticity E_Y is positive, indicating that demand increases with an increase in income.

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Probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.

To use the normal approximation, we need to check if the sample size and the population proportion satisfy the conditions of the Central Limit Theorem. In this case, since n*p = 39.01 and n*(1-p) = 43.99 are both greater than 10, we can assume that the sampling distribution of X is approximately normal.

To find P(X ≥ 34), we can use the normal distribution with mean\(µ = n*p = 39.01\) and standard deviation σ = sqrt(n*p*(1-p)) = 4.01. Then, we need to standardize the value of X using the formula z = (X - µ) / σ, which gives:

z = (34 - 39.01) / 4.01 = -1.25

Using a standard normal table or calculator, we can find the probability of z being less than -1.25, which is equivalent to the probability of X being greater than or equal to 34, as:

P(Z < -1.25) = 0.1056

Therefore, the probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.

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Answer:

x - 5 = 9

x = 14

Step-by-step explanation:

On the left side, there are 5 -1's and 1 x. On the right side, there are 9 1's. Then we set them equal and solve

Problem:

x - 5 = 9

  + 5   + 5

x = 14

Answer:

1st one

Step-by-step explanation:

Answer:

1.1...............

Step-by-step explanation:

please mark my answer in brainlist

Answer:

B. 1

Step-by-step explanation:

20 ÷ 18 is closest to

A. 1/2

B. 1

C. 1 1/2

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

20 : 18 = 1,111111111111111

A. 1/2 = 0.5

B. 1 = 1

C. 1 1/2 = 1.5

To simplify csc(π/2−u) to a single trig function using a sum or difference of angles identity, we can use the identities for trigonometric functions.

Step 1: Recall the difference of angles identity for cosine: cos(A - B) = cos(A)cos(B) + sin(A)sin(B).
Step 2: Recognize that the angle in question is (π/2 - u), which can be represented as A - B where A = π/2 and B = u.
Step 3: Use the reciprocal trig function identity

csc(x) = 1/sin(x) to rewrite csc(π/2 - u) as 1/sin(π/2 - u).

Step 4: Apply the difference of angles identity for sine:

sin(π/2 - u) = cos(u) since sin(A - B) = sin(π/2 - u) = cos(u)sin(π/2) + cos(π/2)sin(-u) = cos(u)(1) + (0)(-sin(u)) = cos(u).

Step 5: Rewrite the expression using the newly found identity: 1/sin(π/2 - u) = 1/cos(u).

So, the simplified expression to a single trig function is csc(π/2−u) = 1/cos(u) , which is the secant function.

Therefore, csc(π/2−u) simplifies to sec(u).

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A trinomial is a polynomial with three terms that has a leading coefficient of 3 and a constant term of -5 is

3m²+m-5

Here the degree of the trinomial is 2, so the leading coefficient is the coefficient of the term with m², which is 3.

The constant term is the term without a variable, which is -5

To find the coefficient of middle term of the trinomial, formula is:

coefficient of middle term =

(sum of the coefficients of the first and last terms)

                                    2

The sum of the coefficients of the first and last terms is 3 - 5 = -2.

Dividing by 2, we get -1 as the coefficient of the middle term.

Putting all of this together, we can write the trinomial as:                     3m² +m - 5

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(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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Answer:

Construct a perpendicular bisector to line AB

The first option

Answer:

Construct a perpendicular bisector to line AB  the first one

The transfer function for a filter is a mathematical expression that describes how the filter affects the input signal.
Once we have determined the type of filter, we can derive the transfer function (part b) using standard methods for that type of filter. The transfer function will be a mathematical expression that relates the input signal to the output signal for the filter.
Finally, using the transfer function (part c), we can determine the parameters requested in the textbook. These parameters might include things like the cutoff frequency, the resonance frequency, or the Q factor of the filter.

Since I don't have access to your specific textbook, I'll provide a general outline on how to approach this type of problem using the terms you've provided: functions, function, and parameters.

1. Determine the type of filter by observation:
Analyze the given circuit diagram or description and identify the type of filter based on its components and configuration. Common filter types include low-pass, high-pass, band-pass, and band-stop filters. In this problem, we are dealing with functions and their parameters. A function is a mathematical equation or relationship that relates one variable (or set of variables) to another. In this case, we are dealing with transfer functions, which relate the input and output signals of a filter.

2. Derive the transfer function and determine the type of filter:
The transfer function, which is a function that relates the output to the input of a system, can be derived by analyzing the circuit using techniques such as Laplace transforms or phasor analysis. The transfer function typically takes the form H(s) = Y(s) / X(s), where Y(s) is the output and X(s) is the input. To derive the transfer function, we need to determine the relationship between the input and output signals for the filter.


Once you have derived the transfer function, the type of filter can be determined based on the mathematical form of the function. For example, a low-pass filter may have a transfer function that decreases as the frequency increases, while a high-pass filter may have a transfer function that increases as the frequency increases.

3. Determine the parameters requested in the textbook:
Using the derived transfer function, identify the parameters that the textbook asks for. These parameters may include cutoff frequency, gain, or other circuit component values. To calculate these parameters, you may need to rearrange the transfer function equation or use mathematical techniques such as solving for the roots or poles.

Remember, the specific steps to solve the problem will depend on the given problem in your textbook. The outlined steps above provide a general approach to help you understand and tackle this type of problem using the terms functions, function, and parameters.

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The solution for r in the equation is 428.43

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

100000 = 8000(1+ r/12000)^72

Divide through by 8000

So, we have

12.5 = (1+ r/12000)^72

Take the 72th root of both sides

So, we have

1 + r/12000 = 1.03570211065

Subtract 1

r/12000 = 0.03570211065

So, we have

r = 428.4253278

Hence, the value of r is 428.43

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Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gabriel Harris earns an annual salary of $156,000 as CFO ofTechMedia, Inc. He is married and claims three dependents. TechMediarecently converted from a weekly pay plan to a monthly pay plan.How much more will Gabriel have deducted from his monthly paythan from his weekly pay for state income tax?

Answer:

slope is 4

Step-by-step explanation:

since your trying to find the slope of the tangent line, you have to find the first derivative, once you do plug in your x to give your slope at the designated spot,

Answer:

wow this is kinda hard but it think it is brian has 19 and wesley has 68

Step-by-step explanation:

yeah hope this helps <3

Answer:

2

Step-by-step explanation:

Just took the test luv <3

Answer:

They are zeroes when y=0

Step-by-step explanation:

For a function \(f(x)\), if \(f(x)=0\), the values of x that make the function true are known as roots, or x-intercepts, or zeroes.

The correct translation for each function is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

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The length of the rope Kurt started with is 13 1/3 inches

From the question, we are to determine the total length of the rope

From the given information,

The first piece was 4 4/5 inches long

and

The second piece was 8 1/2 inches long

Then,

The length of the rope Kurt started with will be

4 4/5 + 8 1/2

\(4\frac{4}{5} + 8\frac{1}{2}\)

First, convert the fractions into improper fractions

\(\frac{24}{5} + \frac{17}{2}\)

The Lowest common multiple (LCM) of the denominators is 10.

Then, we get

\(\frac{(2\times 24) + (5 \times 17)}{10}\)

= \(\frac{48 + 85}{10}\)

= \(\frac{133}{10}\)

= \(13 \frac{1}{3}\)

Hence, the length of the rope Kurt started with is 13 1/3 inches.

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