find the average height of the paraboloid z=x2 y2 over the square 0≤x≤1, 0≤y≤1.

The answer would be

A.) ~-12~

because 2-24=-22 -22+8+2=-12  

B.)~16~

because 6+8-8+10 and -8+8=0 so 6+10=16

Hope this helps

Have a great day/night

Feel free to ask any questions

First, let's start by constructing the triangle (not scalable), like this:

Where b and h are the base and the height of the figure.

In order to determine the value of b and h we can use the following trigonometric function, the sine:

Where 17 is the length of the hypotenuse and a is the length of the side opposite to θ. From this formula, we can solve for a by multiplying by 17 on both sides to get:

As you can see, in the figure, the side opposite to the 60° angle is b, then by replacing 60 for θ and b for we get:

Then the value of b is calculated to get:

Similarly, we can get the value of h by replacing 30° for θ and h for a, like this:

Now we can use the following formula to calculate the area of the triangle:

By replacing 8.5 for h and 14.72 for b we get:

Then, the area of this triangle equals 62.57 square centimeters

Option D which is \((3^{5} )^{2}/3^{4}\) doesn’t have a value less than 1 .

A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."

To now more about exponents visit:

brainly.com/question/14228369

#SPJ13

Step-by-step explanation:

sin x = 12/16 = 0.75

x = arc sin 0.75 = 48.6°

cos x = 36/40 = 0.90

x= arc cos 0.90 = 25.8°

cos x = 10/15 = 0.6667

x= arc cos 0.6667 = 48.2°

tan x = 30/18 = 1.6667

x = arc tan 1.6667 = 59.0°

Step-by-step explanation:

Sum of angles in a triangle = 180°.

=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°

=> 9/7 * s° = 180°

=> s° = 180° * (7/9) = 140°

Hence the value of s is 140.

The adaptive-response-rate single exponential smoothing model is best applied to time series data that are non stationary and seasonal which means option D is the right answer.

The adaptive response rate single exponential smoothing model is used to demonstrate the changes in the forecasting data and the fluctuation in data values with respect to time which are smoothened by a coefficient. The larger the coefficient, the greater the smoothing effect.

This kind of model is ineffective for stationary time series as it takes into account the smoothing of the information. Adaptive smoothing is computationally difficult. Exponential smoothing produces accurate forecasts. The forecast shows projected demand and actual demand.

Learn more about exponential smoothing at:

brainly.com/question/15061467

#SPJ4

Answer: 5.2

Step-by-step explanation:

3*7 = 21

21/5 = 4.2

Answer:

7-(-12)/10-10

19

I hope this is correct.

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (10, - 12) and (x₂, y₂ ) = (10, 7)

m = \(\frac{7+12}{10-10}\) = \(\frac{19}{0}\)

Since division by zero is undefined then the slope of the line is undefined

Answer:

To solve this problem, we can use algebra. Let x be the number of student tickets sold and y be the number of adult tickets sold. We know that:

x + y = 500 (the total number of tickets sold)

5x + 10y = 3000 (the total revenue from ticket sales)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can use the first equation to solve for y in terms of x:

y = 500 - x

Now we can substitute this expression for y into the second equation:

5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = -2000

x = 400

So, the number of student tickets sold is 400. The answer is d) 400

Total 400 students attended the play.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that student tickets cost $5 each and adult tickets cost $10 each. The total ticket sales were $3,000 for 500 tickets.

We can write the system of equations as -

5x + 10y = 3000

x + y = 500

Now -

x = 500 - y

So -

5(500 - y) + 10y = 3000

2500 - 5y + 10y = 3000

5y = 500

y = 100

x = 400

Therefore, total 400 students attended the play.

To solve more questions on functions, visit the link-

https://brainly.com/question/29014197

#SPJ5

The scale factor of the two rectangles show a common ratio of 4/5

A scale factor in geometry is a ratio that indicates how much a figure has been extended or shrunk.

When two figures are comparable, the scale factor is the ratio of any matching lengths in the two figures.

A scale factor of higher than 1 indicates expansion, whereas a scale factor of less than 1 indicates decrease. The figure is the same size as the original when the scale factor is 1.

The dimensions of comparable figures can be calculated using scale factors. For instance, we can use the scale factor to determine the length of the corresponding side of the smaller rectangle if we know the scale factor between two identical rectangles and the length of one of its sides of the larger rectangle.

In the given figure;

12/15 = 36/45

Let's find the ratio here;

4/5 =4/5

The scale factor is 4/5

Learn more on scale factor here;

https://brainly.com/question/10891847

#SPJ1

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.

Visit here to learn more about sample rate brainly.com/question/29106201

#SPJ11

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

To know more about traction,

https://brainly.com/question/5039394

#SPJ11

Answer:

it would be first one, 150/600

Step-the by-step explanation:

Why, because 25% of 600 is 150

Answer:

first option

Step-by-step explanation:

Answer:

3x^5-4x^4-x^2+5

Step-by-step explanation:

(3x^5−2x^4−5)−(2x^4+x^2−10)

Distribute the minus sign

(3x^5−2x^4−5)−2x^4-x^2+10

Combine like terms

3x^5-4x^4-x^2+5

Hello!

\(\boxed{ \bf 3x^5~-~4x^4~-~x^2~+~5}\)

(3\(x^{5}\) - 2\(x^{4}\) - 5) - (2\(x^{4}\) + x² - 10)

Drop the brackets:

3\(x^{5}\) - 2\(x^{4}\) - 5 - 2\(x^{4}\) - x² + 10

Combine Like Terms:

3\(x^{5}\) - 2\(x^{4}\) - 2\(x^{4}\) - x² - 5 + 10

3\(x^{5}\) - 4\(x^{4}\) - x² + 5

Answer:

4n -13

Step-by-step explanation:

notice that the difference between the adjacent terms is 4.

nth term is given by:

nth term = first term + (n-1) × difference -n is any number

= -9 + (n-1) × 4

= -9 + 4n -4

= 4n -13

On solving the question we have that As a result, the coordinates of coordinates  point S after dilation with the origin as the Centre and a scale factor of 12 are (24, 12). Option (D) (16,-8), however, is incorrect.

In geometry, a coordinate system is a method that uses one or more numbers or coordinates to determine the precise location of points or other physical objects on a basis, such as Reference frame. Pairs of figures called coordinates are employed in order to locate a point or item on a double plane. The x and y parameters of a location on a 2D plane are two integers that describe its position. a set of digits which represent precise positions. In most cases, the figure has two numbers. The first number represents the front-to-back distance, while the second column represents the top-to-bottom distance. As in (12.5), there are 12 divisions below and 5 units above.

To determine the image of point S after dilation with the origin as the centre and a scale factor of 12, multiply S's coordinates by the scale factor of 12.

As a result, the coordinates of point S after dilation are as follows:

S' = (12 × 2, 12 × −1)

S' = (24, −12)

As a result, the coordinates of point S after dilation with the origin as the centre and a scale factor of 12 are (24, 12).

Option (D) (16,-8), however, is incorrect.

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

The slope of the line which passes through the given points (-9, -7) and (-11, -6) is calculated as: 1/2.

To find the slope of a line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where m is the slope, and (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, the two points are (-9, -7) and (-11, -6), so we can plug them into the formula:

m = (-6 - (-7)) / (-11 - (-9))

Simplifying this, we get:

m = 1 / 2

So, the slope of the line that passes through (-9,-7) and (-11,-6) is 1/2.

Learn more about slope on:

https://brainly.com/question/3493733

#SPJ1

The slope of the line which passes through the given points (-9, -7) and (-11, -6) is calculated as: 1/2.

To find the slope of a line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where m is the slope, and (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, the two points are (-9, -7) and (-11, -6), so we can plug them into the formula:

m = (-6 - (-7)) / (-11 - (-9))

Simplifying this, we get:

m = 1 / 2

So, the slope of the line that passes through (-9,-7) and (-11,-6) is 1/2.

Answer:

Step-by-step explanation:

A) 300=22.50x+75

B) 300=22.5(10) + 75

300=225=75

300=300

Yes Kyle got his pc

Neither student is correct and Venus is closer to the correct answer.

What is the proper fraction?

A proper fraction is a fraction where the numerator is smaller than the denominator. In other words, it represents a value that is less than one. Proper fractions are usually expressed in the form of a/b, where a is the numerator and b is the denominator.

Neither student is correct. The fraction 7/8 is a proper fraction, which means that it represents a value that is less than 1. It cannot be equivalent to a percentage that is greater than 100.

To convert a fraction to a percentage, we multiply the fraction by 100. So, to find the equivalent percentage for 7/8, we can calculate:

7/8 x 100 = 87.5%

Therefore, Venus is closer to the correct answer with her estimate of about 88%. Keyshawn may have made the mistake of multiplying 7/8 by 100 and getting 114% instead of dividing 7 by 8 to get the decimal equivalent of 0.875, and then multiplying by 100 to get the percentage equivalent of 87.5%.

Hence, neither student is correct and Venus is closer to the correct answer.

To learn more about the proper fraction, visit:

https://brainly.com/question/17220365

#SPJ1

Answer: Step-by-step explanation:

Step-by-step explanation:

The range of a function is the set of images associated with a given domains. As domain is a discrete set, the range can be determined by evaluating the function at each element in domain:

x = 0

x = 1

x = 2

x = 3

The range of r(x) is .

The correct answer is E. None of the above. The term "mutually exclusive events" refers to events that cannot occur simultaneously. In other words, if one event happens, the other event cannot happen at the same time.

Option A, "Contain all sample points," does not accurately describe mutually exclusive events. Mutually exclusive events do not need to include all possible sample points.

Option B, "Contain all common sample points," is also incorrect. Mutually exclusive events do not share any common sample points.

Option C, "Does not contain any sample point," is not true for mutually exclusive events. Mutually exclusive events can still have sample points, but those sample points cannot be shared between the events.

Option D, "Does not contain any common sample point," is also incorrect. While mutually exclusive events do not have any common sample points, this option does not accurately capture the concept of mutually exclusive events.

Therefore, the correct answer is E. None of the above.

Learn more about mutually exclusive events here:

https://brainly.com/question/28565577

#SPJ11

Mutually Exclusive events are- A. Contain all sample points B. Contain all common sample points C. Does not contain any sample point D. Does not contain any common sample point E. None of the above

Which of the following is the correct option?

The average rate of change of the function is 3.

                     = Δy / Δx =  [f(b) - f(a)] / (b - a)

Given:

x₁ = 0

x₂ = 9

f(x) = 3x

f(x₁) = 0

f(x₂) = 27

Average rate of change, \(A(x) = \frac{f(x_{2})-f(x_{1} ) }{x_{2}-x_{1} }\)

Putting the values, we get

\(A(x) = \frac{27-0}{9-0}\) = \(\frac{27}{9}\) = 3

Therefore, the average rate of change is 3.

To know about the average rate of change visit:

https://brainly.com/question/13235160

#SPJ9

Answer:

Step-by-step explanation:

1

-

8 exponent 9

Answer:

\(\large\boxed{\tt 18a+42}\)

Step-by-step explanation:

\(\textsf{We are asked to simplify the given expression.}\)

\(\textsf{Per similar problems, we should use the \underline{Distributive Property}.}\)

\(\large\underline{\textsf{What is the Distributive Property?}}\)

\(\boxed{\begin{minipage}{25 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses into the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{Per this example, a will multiply with the terms b and c.}\end{minipage}}\)

\(\large\underline{\textsf{Simplifying the Expression;}}\)

\(\textsf{For our given expression, let's use the Distributive Property.}\)

\(\underline{\textsf{Use the Distributive Property;}}\)

\(\tt 6 (3a + 7) \rightarrow (6 \times 3a) + (6 \times 7) \rightarrow \large\boxed{\tt 18a+42}\)

Hello and greetings AtticusR9000.

To solve this exercise, we apply the distributive property, which is a mathematical rule that establishes that the multiplication of a number by the addition or subtraction of two or more numbers is equal to the addition or subtraction of the multiplication of that number by each of the numbers. that are being added or subtracted. In other words, if we have three numbers a, b and c, then the distributive property can be written as:

a × (b + c) = (a × b) + (a × c)

or also as:

a × (b - c) = (a × b) - (a × c)

This means that the multiplication of the number "a" can be distributed through the addition or subtraction of the numbers "b" and "c" to obtain the same result as if "a" were multiplied by "b" and "a" by "c" and then add or subtract the results. The distributive property is fundamental in mathematics and is used in numerous algebraic and arithmetic operations.

Now we solve by applying the distributive property:

a × (b + c) = (a × b) + (a × c)

6(3a + 7) = (6 × 3a) + (6 × 7)

18a + 42

Therefore, the solution of exercise 6(3a+7) is 18a+42.

ヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

https://brainly.com/question/23860551

Answer:

rational

Step-by-step explanation:

cause it can be written as a fraction.

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

Read more on rational root theorem

brainly.com/question/10937559

#SPJ4

Answer:

Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:

Answer:

78%

Step-by-step explanation:

195/ 250 = 0.78 then we multiply .78 by 100 to get the percentage

(.78)(100) = 78%

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink \star\underline{\underline{\boxed{ \sf{ \frac{value}{T. value} * 100 \%}}}}\)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

\(\sf{ \frac{value}{T. value} * 100 \%}\)

\(\sf{\frac{195}{250}*100\%}\)

\(\sf{0.78 * 100 \%}\)

\(\sf{78 \%}\)

The amount of carbohydrate is 78 %

Answer:

x =5

Step-by-step explanation:

transfer -2 to the other side it turns to +2

|2x-1|=7 +2

2x-1 =9

transfer -1 to the other side it turns to +1

2x=10

Divide both sides by 2

2x /2 = 10/2

x= 5