Curves defined using parametric equations have an orientation

true or false?

Answers

Answer 1

Answer:

True

Step-by-step explanation:

So this problem is asking whether Parametric because have an orientation and the short answer to that is that this is true. Parametric curves do have an orientation and we'll just do a little demonstration to share. Why? So let's take these very standard privatization of the unit circle where X is he going to cause of tea and why is equal to sign of tea now? The final part of defining the characterization is defining that the main range of tea on will take t to go from zero to two pi Andi, In this case, this is the this parts of circle going in this direction in the counter clockwise direction. And this is because as X as he goes from zero to play over two x decreases and signed increases on it sets us off on this direction as if that's one orientation off this curve of the circle. But we can alter this curve to get a different orientation. So if we were to take the Parametric equation given by X is equal to the co sign a minus T and why is equal to the sign of minus T in this case? Well again, take the domain to be from 0 to 2 pi. But because of the mind, the sign when it the mind sign doesn't actually affect X, it doesn't effect for co sign Well, it does affect the sign of minus T. So as T increases, the X value still decreases. But the Y value initially decreases as well, so this sets the arrows off on the clockwise direction. So this is another orientation off the same curve. So we've got two very different characterizations that describe the same physical curve. But because of the differences, the curve is constructed in opposite direction, and that is what the orientation defines. So it's very important to make sure that when you're drawing and describing the curve, you're parametric equations are in the correct orientation because otherwise you may encounter some difficulties later on. Because you'll be working with equation start that are, in fact, wrong

Thank you,

Eddie.

Answer 2
False is your answer

Related Questions

What is the lateral surface area of the cone?

A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.

L A = pi r l
108 pi centimeters squared
135 pi centimeters squared
180 pi centimeters squared
270 pi centimeters squared

Answers

Answer:

135 pi centimeters squared

Step-by-step explanation:

Hello!

where la is lateral surface area

[tex]first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi \times r \times l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) = \frac{d}{2} \\ r = \frac{18cm}{2} = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi \times r \times l \\ la = \pi \times (9cm) \times (15cm) \\ la = 135\pi \: cm {}^{2} [/tex]

126.8 is 63 2/5% of what?

Answers

Answer:

200

Explanation:

126.8 x 100

126.8/63.4 = 200

Translate the following phrase into algebraic expression , the number of dollars Paul owes minus 32

Answers

Using a system of equations, the translated expression is:

P - 32.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variable is the number of dollars Paul owes, which is P. That amount minus 32 is represented by:

P - 32.

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What is the question of the translated function, g(x), if f(x)=x^2
-Dear lord help

Answers

The graph of the parabola g(x) is (x+2)^2 + 3

Translation of function

Given the following parent function of the parabola expressed as;

f(x) = x^2

The function g(x) shows a horizontal translation to the left by 2 units and vertical translation up by 3 units to have the equation;

g(x)  = (x+2)^2 + 3

Hence the graph of the parabola g(x) is (x+2)^2 + 3

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Create a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.















reate a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.















Create a line that is parallel to AB and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.

Answers

The attached line is a parallel line that goes through C and parallel to AB

What are parallel lines?

Parallel lines are lines on the same plane that have the same slope, they do not intersect even when they are extended indefinitely

How to create the parallel lines?

From the question, we have the following points and line:

Line ABPoint C

The following steps would create the parallel line that goes through C and parallel to AB

Draw a line from point C to touch the line segment AB at anywhereMark a point anywhere on the line drawn from point C such that the line is short. Call this point KCreate a circle that has a radius F KMark the intersection of the circle and the initial lineCreate another circleMark the intersection of the circle and the line ABCreate another circleConnect the endpoints of the lines

See attachment for the parallel line that goes through C and parallel to AB

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A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?

Answers

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

What is the exponential growth formula?

The exponential growth formula usually has this form:

FV = P (1 + r)^n

FV = Future growth P = Present growth R = rate of growthN = number of years

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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A farmer finds there is a linear relationship between the number of bean stalks, n , she plants and the yield, y , each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 33 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.

Answers

The equation y = -0.5x +45 represent the linear relationship.

According to the statement

We have given that the When she plants 30 stalks, each plant yields 30 oz of beans and When she plants 33 stalks, each plant produces 29 oz of beans.

And we have to find the linear relationship between the plants which are stalks.

So, For this purpose,

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

y-y1 / y2-y1 =  x-x1 / x2-x1

Substitute the points as x =n and put the other values in it then

y-30 / 28-30 =  x-30 / 34-30

Then

y = -0.5x +45

This represent the relationship.

So, The equation y = -0.5x +45 represent the linear relationship.

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Can someone answer this for me

Answers

The equation of the line in standard form is 6x - 7y = - 11

How to represent linear equation in standard form?

The standard form for linear equations in two variables is Ax + By = C.

Therefore, using (-3, -1)(1 / 2, 2)

y = mx + b

where

m = slopeb = y-intercept

Hence,

m = 2 + 1 / 1  /2 + 3 = 6 / 7

Hence,

-1 = 6 / 7(-3) + b

- 1 = - 18 / 7 + b

-1 + 18 / 7 = b

b =  -7 + 18/ 7

b = 11 / 7

Therefore,

y = 6 / 7 x + 11 / 7

Using the standard form,

6 / 7 x - y = - 11 / 7

6x - 7y = - 11

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The linear equation in standard form is:

6x - 7y = -11

Which is the last option.

How to get the equation of the line?

The line in slope-intercept form is written as:

y = a*x + b

We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:

[tex]a = \frac{2 - (-1)}{1/2 - (-3)} = \frac{3}{3.5} = \frac{6}{7}[/tex]

Then we can write:

y = (6/7)*x + b

To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:

-1 = (6/7)*-3 + b

-1 + 18/7 = b

-7/7 + 18/7 = b

11/7 = b

Then the equation is:

y = (6/7)*x + 11/7

If we multiply both sides by 7 we get:

7y = 6x + 11

Now we move the term with "x" to the left:

7y - 6x = 11

That is the line in standard form.

If we multiply both sides by -1, we get the last option:

6x - 7y = -11

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Find the difference: -2-6

Answers

The difference is -8. Why? Well, see below for the proper explanation!

I was taught how to solve these kinds of problems easily! Whenever you are subtracting a negative by a positive, you can think of it as using the two minus signs as addition and keeping the result negative. An example of this would be as follows:

Let’s take the problem -7 - 3.

See the two minus signs (the one in -7 and the one that shows we are subtracting)? Well, these two signs can be put together to form an addition sign (+), which shows that we are adding these two numbers together.

7 + 3 = 10

Now that we added the numbers, we can just add the negative sign back on to show that -7 - 3 = -10.

A simple way to remember this is that -7 + 3 would give us -4. This makes things easier to remember because subtraction is the inverse operation of addition, and since adding a negative and positive results in numbers that go more toward the origin and positive numbers side of a number line, we can just do the inverse operation to find that subtracting a negative by a positive number results in numbers moving to the left on a number line, which resembles less and farther from the origin.

Your final answer: -2 - 6 = -8. If you need extra help, let me know and I will gladly assist you.

Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below:

Baseball Scores


Score Number of Students
0 1
1 2
2 5
3 3
4 6
5 7
6 9


Based on the table, what is the mean baseball score?
2.5
2.9
3.5
4.1

Answers

Option D, 4.1 is the correct answer. The mean baseball score is 4.1 given the table of values of baseball scores and score number of students. This can be obtained by using the formula for mean.

Calculate mean for the data:

Mean can be obtained by the formula,

Mean = [tex]\frac{sum\ of\ observations}{total\ number\ of\ observations}[/tex]

Sum of basketball scores = 0×1 + 1×2 + 2×5 + 3×3 + 4×6 + 5×7 + 6×9

= 0 + 2 + 10 + 9 + 24 + 35 + 54

total number of basketball scores =  1 + 2 + 5 + 3 + 6 + 7 + 9 = 33

Mean = [tex]\frac{0+2+10+9+24+35+54}{33}[/tex] = 4.06 ≈ 4.1

Hence the mean baseball score is 4.1 given the table of values of baseball scores and score number of students. Option D, 4.1 is the correct answer.

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AHAISNSHKWSN HELP PLEASEEE

Answers

Answer:

best answer is c. (2,3),(4,4),(6,5),(8,6)

Step-by-step explanation:

multiply x and y components 2*3,4*4,6*5,8*6

Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12 yellow markers, 37 blue markers, and 1 red marker. Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. Input your answers as fractions or as decimals rounded to the nearest hundredth.

Answers

Using the given frequencies, the probabilities for the next color chosen is:

P(yellow) = 0.24.P(blue) = 0.74.P(red) = 0.02

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

There were 50 markers, of which 12 were yellow, 37 blue and 1 red, hence the probabilities for each are given as follows:

P(yellow) = 12/50 = 0.24.P(blue) = 37/50 = 0.74.P(red) = 1/50 = 0.02

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Which of the following graphs represents a function?

Answers

The third graph represents a function.

In a function, every input (x value) has exactly one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.

A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.

In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.

-102/119 in standard form

Answers

Answer:-8.5714285714 × 10-1

Step-by-step explanation:

-101/119=-0.85714285714

remember Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

so -0.85714285714 in standard form is -8.5714285714 × 10-1

solve and graph 2cos(2x) = x radians

Answers

The solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

How to solve the equation?

The equation is given as:

2cos(2x) = x

Split the equation as follows:

y = 2cos(2x)

y = x

Next, we plot the graph of y = 2cos(2x) and y = x (see attachment)

From the attached graph, y = 2cos(2x) and y = x intersect at the following points

(x, y) = (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

Hence, the solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

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pls help giving all my points!! Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
Big circle r = 25 cm
Small circle r = 8 cm

Answers

The probability of landing on the shaded region of the figure is 0.10

How to find the probability of landing on the shaded region?

The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²

area of the smaller region = πr² = 3.14 × 8²  = 200.96 cm²

Therefore,

the probability of landing on the shaded region of the figure = 200.96 / 1962.5

the probability of landing on the shaded region of the figure = 0.10

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The diagram is supposed to be used for both question 7 and 8. WORTH 30 POINTS.

Answers

7. D. Arc JK = 124°

8. Applying the angle of intersecting chords theorem, m∠1 = 115°.

What is the Angle of Intersecting Chords Theorem?

The angle of intersecting chords theorem states that the angle (∠1) formed by two chords in a circle, equals half of the sum of the intercepted arcs (arcs ML and JK).

Arc JMK = 2(118) = 236° [inscribed angle theorem]

Arc JK = 360 - arc JMK = 360 - 236

Arc JK = 124°

Arc ML = 236 - 70 - 60 = 106°.

m∠1 = 1/2(arc JK + arc ML)

m∠1 = 1/2(124 + 106)

m∠1 = 115°.

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An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.

Answers

Answer:

$19.50

Step-by-step explanation:

Dividing both sides by 32, we get $19.50.

You are ordering shirts for a club at your school. The function f(x) = 8x + 12 represents the cost of
ordered a shirts. How much would it cost to buy 32 shirts?

Answers

It would cost 2.50$ for each shirt.

The cost of buying 32 shirts according to the function given is $268.

Given that the function f(x) = 8x + 12 represents the cost of ordered a shirt.

We need to find the cost to buy 32 shirts.

To find out how much it would cost to buy 32 shirts, you can use the given function f(x) = 8x + 12, where 'x' represents the number of shirts and 'f(x)' represents the cost of ordering 'x' shirts.

Let's plug in x = 32 into the function:

f(32) = 8 × 32 + 12

f(32) = 256 + 12

f(32) = 268

So, it would cost $268 to buy 32 shirts.

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100 POINTS
Construct a horizontal line that passes through the intersection of lines AC and BC at point C. Add a vertical line segment connecting the horizontal line to line AC called FG and another vertical line connecting the horizontal line to line BC called DE.
Complete the proof.
LOOK AT IMAGE PLEASE

Answers

The blanks are as follows:

Angle addition postulateSubtraction property of equalityCorresponding sides of similar triangles are proportionalMultiplication property of equality

m(t)=120e−0.018t
How much mass remains after 50 years? Round to 2 decimal places.

Answers

The mass that would remain after 50 years is 48. 79 kilograms

How to determine the amount

It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.

Given the equation

m(t)=120e−0.018t

Where

m(t) is the amount = unknown

t = time = 50 years

[tex]m(t) = 120e^0^.^0^1^8^t[/tex]

Substitute the value into the equation

[tex]m(t) = 120e^0^.^0^1^8^(^5^0^)[/tex]

[tex]m(t) = 120e^-^0^.^9[/tex]

Find the exponential value

[tex]m(t) = 48.788399[/tex]
m(t) = 48. 79 kilograms in 2 decimal places

Thus, the mass that would remain after 50 years is 48. 79 kilograms

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When given -5(x + 4) = 90 and trying to prove that x = -18, what should be placed in line A of the two-column proof? Statement Reason 1. -5(x + 4) = 90 1. Given 2. -5x − 20 = 90 2. _____A______ 3. _______B________ 3. Addition Property of Equality 4. x = -22 4. ____C_______ Subtraction Property of Equality Distributive Property

Answers

The 4 reasons for the Algebra proof are respectively;

Given; Distributive property; Addition Property; Division Property

How to use algebra properties?

We want to use algebra properties to find the value of x in the expression; -5(x + 4) = 90

Statement 1;  -5(x + 4) = 90

Reason 1; Given

Statement 2; -5x - 20 = 90

Reason 2; Distributive property of Algebra because we distributed -5 into the bracket terms.

Statement 3; -5x = 110

Reason 3; Addition property of equality because we added 20 to both sides to achieve that.

Statement 4; x = -22

Reason 4; Division property of equality because we divided both sides by -5 to obtain x = -22.

Thus, the 4 reasons are respectively;

Given; Distributive property; Addition Property; Division Property

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i need help with number 70

Answers

The volume of the rectangular prism is of 28.6875 mm³.

What is the volume of a rectangular prism?


The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

For this problem, the dimensions are:

2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.

Hence the volume is:

V = 2.125 x 6.75 x 2 = 28.6875 mm³.

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The function h(x) = 2|x] is a transformation of the absolute value parent
function, f(x) = |xl. Which graph shows h(x)?

Answers

The graph is shown in the attached image.

Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin 2 x Answer: 2cos x = 4 cos x sin 2 x 2cos x = 4 cos x sin ( 2 x 2 cos x in common onboth sides) 1 = sin 2 x The only place sin x = 1 is where the angle is . π 2 x = π

Answers

Answer:

l dont know l am not studying it sorry

Answer:

hey what was the answer?

Step-by-step explanation:

I need help im going to failllll!!!!!!

Use the chart to find the constant of variation

Answers

As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.

Does the table represent a linear relation?

A table between two variables represents a linear relation if and only if every pair of values (x, y) have the same constant:

k = y/x     (1)

Now we proceed to check the existence of the constant of variation:

k₁ = 8/(- 2) = - 4

k₂ = (- 16)/4 = - 4

k₃ = (- 36)/9 = - 4

As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.

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Measure the angle in degrees.

Answers

Answer:

Angle is measured in degrees (°) and radians. It is formed between the two adjacent sides of a polygon. Every polygon has different sides and different numbers of angles. The formula to find the angles in degrees is useful in geometry and trigonometry. It is essential to understand other concepts of mathematics, such as arc, a central angle of the circle, etc.  

A full circle = 360°

A straight line = 180°

A semicircle= 180°

A Quarter circle = 90°

example

Given: Hypotenuse = 12

Perpendicular = 6

The trigonometry function to calculate the angle is given by:

sinA = 6/12

A = 30°

Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).

Answers

that’s a lot of money. that’s literally $5,550 a day

A person draws a card from a hat. Each card is one color, with the following
probabilities of being drawn: 1/25 for blue, 1/15 for yellow, 1/10 for green, and
1/20 for white. What is the probability of pulling a green or yellow card, written
as a reduced fraction?
FU

Answers

Answer:

1/6

Step-by-step explanation:

1/15 yellow, 1/10 green, and 1/20 white

1/15 + 1/10 is the probability for yellow or green.

2/30 + 3/30 = 5/30 = 1/6

Brainliest, please :)

What is the equation of the line that passes through the point (6,-3) and has an undefined slope?

Answers

Answer:

x=6

Step-by-step explanation:

This is a vertical line going through (6,0).  If you take this point and the point given and calculate the slope you find the change in y over the change in x.  

0-(-3)/6-6  The slope is undefined because the denominator of the slope would be zero.

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