Find the measure of each exterior angle of each regular polygon.

pentagon

The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0  .

In the question ,

it is given that ,

the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Now,

According to the give function,

r(u,v) = (u² , 2usin(v) , ucos(v))

Then, solving it , We get ,

r(u,v) = (u² , 2usin(v) , ucos(v))

\(r_{u}\) = (u , 2sin(v) , cos(v))

\(r_{u}\) (1,0) = (2 , 0 , 1)

\(r_{v}\) = (0 , 2ucos(u) , -sin(v))

\(r_{v}\) (1,0) = (0 , 2 , 0)

So , the matrix become

\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)

On simplifying , we get

i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)

r(2,0) = (2 , 0 , 1)

The  plane is

r = −2x \(+\) 4z

r(2,0,1) = −2(2) \(+\) 4(1) = d

−4 \(+\) 4 \(=\) d

d = 0

Therefore , the equation of tangent is -2x + 4z = 0 .

The given question is incomplete , the complete question is

Find an equation of the tangent plane to the given parametric surface at the specified point.  r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

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Answer:

there is 5.0546meters

Step-by-step explanation:

1m=100cm

x =2.54cm

2.54cm=0. 0254m

so,

0.0254m=1inch

y =199inch

y = 0.0254×199m

y=5.0546m

Answer:

The equation for your graph is Y=2x+1

Answer:

Hello!

______________________

Your answer would be (B)

Step-by-step explanation: Because it is all negative when you divide by the positive number.

Hope this helped.

The sign of the quotient of positive and negative decimals correct is (B)

We have determined which rule about the sign of the quotient of positive and negative decimals is correct.

A positive question is one that can be falsifiable, or put more simply, has a yes/no answer. Think of a positive question as a how is the world question.

The sign of the quotient of positive and negative decimals is correct Because it is all negative when you divide by the positive number.

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63. "Adrenopathy" is the correct term for any disease of the adrenal gland.

64. Corporeal. 65. Thyropathy 66. Isletoma 67. Adrenergic 68.  Islet-related 69. Goiter 70. Thyrotropic 71. Somatic 72. Gonadotropic

63. Adrenopathy: The correct word parts to form the term that describes any disease of the adrenal gland are "adreno-" and "-pathy." The prefix "adreno-" refers to the adrenal gland, and the suffix "-pathy" indicates a disease or disorder.

64. Corporeal: To describe something pertaining to the body, the correct word part is "corpor-" which means body. By adding the suffix "-eal" meaning pertaining to, we form the term "corporeal" which means relating to the body.

65. Thyropathy: When combining the word parts for a disease of the thyroid gland, we use "thyro-" to refer to the thyroid gland and "-pathy" to indicate a disease or disorder. Thus, "thyropathy" is the term that describes any disease of the thyroid gland.

66. Isletoma: A tumor of the pancreatic islets can be described using the word parts "islet-" referring to the pancreatic islets and "-oma" which signifies a tumor. Therefore, "isletoma" is the appropriate term for a tumor of the pancreatic islets.

67. Adrenergic: To indicate something that is activated by epinephrine, the correct word part is "adreno-" referring to the adrenal gland, and the suffix "-ergic" indicating activation or stimulation by a substance. Thus, "adrenergic" describes something that is activated by epinephrine.

68. Islet-related: The word part "islet-" refers to the pancreatic islets. To describe something pertaining to the pancreatic islets, we can use the suffix "-related." Therefore, "islet-related" is the correct term for something pertaining to the pancreatic islets.

69. Goiter: Enlargement of the thyroid is commonly referred to as a "goiter." In this case, the specific word parts from the bank are not used to form the term.

70. Thyrotropic: When we want to describe something that acts on the thyroid, the appropriate word parts are "thyro-" for the thyroid gland and the suffix "-tropic" indicating an agent that acts upon or influences something. Thus, "thyrotropic" is the correct term for something acting on the thyroid.

71. Somatic: To describe something that acts on the body, the word part "somato-" is used, which refers to the body. Therefore, "somatic" is the term that describes something acting on the body.

72. Gonadotropic: The word part "gonado-" is used to refer to the reproductive organs. When we want to describe something that acts on the reproductive organs, the suffix "-tropic" is used, indicating an agent that acts upon or influences something. Therefore, "gonadotropic" is the correct term for something acting on the reproductive organs.

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The infix expression given is (A-B)+C*(D/E)

Steps to draw the expression tree

The order of operations should be considered while drawing the expression tree.

The following steps are followed:

First, draw a node for the operator with the highest precedence,

which is multiplication (symbol *).Second,

draw nodes for the other operators, in the order of their precedence, which is division (symbol /), and addition (symbol +).

Third, draw the leaf nodes for the operands in the order that they appear in the infix expression.

A B CD E- /* + Steps to re-write in prefix form

The prefix form of the infix expression is obtained by traversing the expression tree in the pre-order fashion.

That is, the operator is written before its operands.

The prefix form of the infix expression (A-B)+C*(D/E) is obtained as follows:+ - A B * C / D E

Steps to re-write in postfix form

The postfix form of the infix expression is obtained by traversing the expression tree in the post-order fashion.

That is, the operator is written after its operands.

The postfix form of the infix expression (A-B)+C*(D/E) is obtained as follows: A B - C D E / * +

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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The product of the given polynomials is 4y/(y + 3).

We are given two polynomials. A polynomial is a mathematical statement that is composed of the sum of powers in one or more variables multiplied by coefficients. The polynomials are in rational form. A rational number is created by dividing an integer by an integer. The first polynomial is 2y/(y - 3). The second polynomial is (4y - 12)/(2y + 6). We need to find the product of these two polynomials. Let the product be represented by the variable "P".

P = [2y/(y - 3)]×[(4y - 12)/(2y + 6)]

P = [2y/(y - 3)]×[4(y - 3)/2(y + 3)]

P = [2y]×[2/(y + 3)]

P = 4y/(y + 3)

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The result will differ between increase and decrease because the numerator in the formula represents the change (E - B). If the ending number is greater than the beginning number, it will result in a positive value, indicating an increase.

a. Let's use the variable A to represent the area of a room.

b. We can use the variable WA to represent the wall area of a room, including windows and doors.

c. For the wall area of a room not including two windows and a door, let's use the variable WNA.

d. To calculate the number of miles given a number of feet, we can use the variable M to represent the number of miles and F to represent the number of feet. Since there are 5,280 feet in a mile, we can set up the equation as:

M = F / 5280

e. To calculate the percent increase or decrease of a value given the beginning number (B) and the ending number (E), we can use the variable P to represent the percent change. The formula for percent change is:

P = ((E - B) / B) * 100.

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Answer:

A. more likely to roll a number greater than or equal to 3

Step-by-step explanation:

Take a look at the probabilities for each:

Greater than or equal to 3:

You can roll a 3, 4, 5, or 6

Less than 3:

You can roll a 1 or a 2.

To find probability, divide how many ways there are to get what you want by the number of total ways to get something at all.

For freater than or equal to 3:

You can roll a 3, 4, 5, or 6 to fulfill this, so 4 things that you want.

You could roll a 1, 2, 3, 4, 5, or 6 on this number cube, so 6 possibilities.

Divide 4 by 6, and you get 2/3.

For less than 3:

You can roll a 1 or a 2 to fulfill this, so 2 things you want.

Divide by 6 (again) total possibilities, and you get 1/3.

2/3 is more than 1/3, so the first possibility is more likely than the second.

Problem 1

a^2+b^2 = 25^2+20^2 = 225+400 = 625

c^2 = 25^2 = 625

We get the same output of 625.

This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.

=======================================

Problem 2

a^2+b^2 = 3^2+3^2 = 18

while c^2 = 1^2 = 1

So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below

We see that we have the form a^2+b^2 > c^2 since 18 > 1.

This acute triangle is also isosceles because a = b.

Answer:

Triangle A is a scalene triangle.

Triangle B is an isosceles triangle

Exaplanation for the 1st Answer:

A scalene triangle is a triangle whose all side lengths are different.

Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.

Explanation for the 2nd Answer:

An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.

4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.

And, The expression is equivalent to 2 divide by 3

Now, According to the question:

All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.

2/3 × 2/2  = 4/6

2/3 × 3/3 = 6/9

2/3 × 4/4 = 8/12

2/3 × 5/5 = 10/15  and so on...

4/6, 6/9, 8/12, 10/15  ... are equivalent to 2/3.

Thus, 4/6, 6/9, 8/12, 10/15  ... are equivalent to 2/3.

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Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

Answer:

6120

Step-by-step explanation:

i)

15/100 × 7200

=1080 ( the amount of discount based on the marked prize )

ii) 7200-1080=6120

The given C++ code implements the Greatest Common Divisor (GCD) algorithm using integer division in a loop. To implement this algorithm in assembly language, we can use the same approach of dividing the larger number by the smaller number repeatedly until we get a remainder of zero.

The resulting quotient will be the GCD. A test program can be written in assembly language to call this function several times with different values and display the results on the screen. The assembly language implementation of the GCD algorithm can be done using the same basic approach as the C++ code. We start by taking the absolute values of the input integers, as the GCD is defined for positive integers. We then use a loop that repeatedly divides the larger integer by the smaller integer until the remainder becomes zero. At each iteration, we store the remainder in a temporary variable and swap the values of the two integers. We continue the loop until the smaller integer becomes zero. The last non-zero value of the larger integer will be the GCD. We can use the DIV instruction to perform the integer division, which takes the dividend in the DX:AX register pair and the divisor in a separate register. The quotient is stored in the AX register and the remainder in the DX register.

A test program can be written in assembly language to call the GCD function several times with different values and display the results on the screen. The program can use the INT 21H interrupt to display the output on the console. The input values can be read from the user using the INT 21H interrupt as well. The program can use a loop to repeatedly call the GCD function and display the results until the user decides to exit. Overall, implementing the GCD algorithm in assembly language is straightforward and can be done using simple arithmetic and looping constructs.

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Answer:

2/3 of the cake uneaten

Step-by-step explanation:

Answer:

6 cm² and 12 cm

Step-by-step explanation:

→ Find area

0.5 × 3 × 4 = 6 cm²

→ Find hypotenuse

√3² + 4² = 5

→ Add all sides

3 + 4 + 5 = 12

The correct answer is "a." Static positioning which is positive essentially the same as not using any CSS positioning at all.

The correct answer to your question is: a. Static positioning is essentially the positive same as not using any CSS positioning at all. Static positioning is the default positioning for HTML elements, and elements with static positioning remain in their normal flow on the page.

CSS aims to differentiate between content and presentation, including layout, colors, and fonts. This separation can improve the accessibility of content; provides more flexibility and control in terms of presentation features; Have multiple websites share the same style by specifying the relevant CSS in separate .css files. This reduces the complexity and overlap of the content and caching of css files to improve the page speed of the page displaying the data and its formatting.

Separation of text and content also allows the same page to be written in different formats on screen, print, voice (in voice-based browser or screen reader), and Braille Haptic-based devices. CSS also has resize rules if the content is being accessed from a mobile device.

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The expression that represents the statements are

1. R = 114+P

2. M = 10+2B

3. H = 1/2M -29

Linear expressions are those statements that each term is either a constant or a variable raised to the first power.

In linear expressions, the highest power of the variable is 1.

In the first statement 'Rhona got 114 more votes Tham Petro'. Let's represent the votes for Rhona by R and for Pedro by P

therefore R = 114+ P

In the second statement 'Matt took 10 minutes longer than twice as long as Bryce took to do his assignment'

Let's represent the time it took Matt to do his assignment' by M and time it took Bryce by B.

then,

M = 10+2B

In the third statement 'A hamburger costs 29 cents less than half as much as a full meal'.

Let's represent the cost of hamburger by H and the cost of full meal' by M, then,

H = 1/2M -29

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Answer:

each term is half the previous one. 1.6 *.5^(n-1). is a geometric sequence.

This is a geometric sequence with a common ratio of 1/2. Therefore, option B is correct.

A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed constant called the common ratio (r).

In other words, if the first term of the sequence is "a", then the nth term of the sequence is given by:

an = a * r^(n-1)

where "n" is the position of the term in the sequence.

In this question:

To see why, notice that each term is half of the previous term:

0.8 is half of 1.6

0.4 is half of 0.8

0.2 is half of 0.4

In a geometric sequence, each term is obtained by multiplying the previous term by a fixed constant, which is called the common ratio. In this case, the common ratio is 1/2, because each term is half of the previous term.

So the sequence can be written as:

1.6, 0.8, 0.4, 0.2, …

or

a₁, a₁/2, a₁/4, a₁/8, …

where a₁ is the first term, which is 1.6 in this case.

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Answer:

yea i would say c

Step-by-step explanation:

Answer:

B) $18

Step-by-step explanation:

Do you see the pattern?

6 is 2 more than 4

12 is 4 more than 8

18 is 6 more than 12

24 is 8 more than 16

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

Make me brainlest.

The mean square error (MSE) is a measure of how well a regression model fits the data. To calculate the MSE for a linear time trend model, you need to follow these steps:

Step 1: Calculate the residuals.
To calculate the residuals, subtract the predicted values of the dependent variable (Y) from the actual values.

Step 2: Square the residuals.
To get the squared residuals, square each residual value calculated in step 1.

Step 3: Calculate the average of the squared residuals.
Add up all the squared residuals from step 2 and divide by the number of observations (n) in the dataset.

Finally, round your answer to three decimal places for precision.

In conclusion, the mean square error for the linear time trend model can be obtained by calculating the squared residuals, averaging them, and rounding the answer to three decimal places.

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The below mentioned are the steps to Graph a System of Linear Inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

Following Mentioned are the sreps to solve Linear Inequality:

1. Solve for the variable - In order to solve the inequality, isolate the variable using the same algebraic procedures that you would use to solve an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative value.

2. Graph the line on a coordinate plane - To do so, convert the inequality into an equation and graph it like you would any line equation. Plot the y-intercept first, then use the slope to graph the remaining points on the line.

3. Shade in the appropriate area

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Step-by-step explanation:

(a) To find the lower bound for the length of the rectangle, we need to subtract half of the smallest unit of measurement from the given measurement.

The smallest unit of measurement given is 1 mm, so half of that is 0.5 mm.

Therefore, the lower bound for the length of the rectangle is:

64 mm - 0.5 mm = 63.5 mm

(b) The perimeter of a rectangle is calculated by adding up the length of all four sides.

The lower bounds for the length and width of the rectangle are 63.5 mm and 36.5 mm, respectively.

So, the lower bound for the perimeter is:

2(63.5 mm + 36.5 mm) = 2(100 mm) = 200 mm

Answer and explanation below. Credits to Chris, Mechanical engineering college, Master's degree