Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2

Answers

Answer 1

Answer:

The motion is centered about (0,1)

Step-by-step explanation:

x = 3sint ---- (1)

y = 1 + cos(t) ----- (2)

x^2 = 9 *sin(t)*sin(t)  

hence; (x^2)/9 = sin(t)*sin(t) ---- (3)

y-1 = cos(t)  

hence; (y-1)^2 = cos(t) * cos(t)  ---- (4)

adding  equation 3 and 4

(x^2)/9 + ( y - 1 )^2 = 1

The motion is centered about (0,1)


Related Questions

How is the graph of y=4(2)^x-3 translated from the graph of y=4(2)^x

Answers

Subtracting 3 at the end of the equation shifts the graph down 3 units

The population of a town is decreasing exponentially according to the formula
P = 7,285(0.97)t, where t is measured in years from the present date. Find the population in 2 years, 9 months. (Round your answer to the nearest whole number.)

Answers

Answer: 6669

Step-by-step explanation:

I hope I did this right... anyways,

t, is represented by years, which is given to us by 2 years and 9 months. Assuming you would put 2.9 for t.

Additionally, as you can't have a decimal for a person, and they've asked for it to be rounded to the nearest whole number, there would be 6669 people in 2 years and 9 months.

The formula used is:

[tex]7285(0.97)^2^.^9[/tex]

The correlation between a student’s shoe size and their score on a final exam is −0.79.What conclusions can be drawn based on the correlation coefficient? Select all that apply.



There is a relationship between a student’s shoe size and their final exam score.Big shoe sizes correlate to low exam scores.Large shoe sizes cause students to do poorly on the final exam.As the shoe size decreases, the final exam score increases.Small shoe sizes cause students to do well on the final exam.

(1,2,4) (A,B,D)

Answers

Answer:

The first one, the second, and fourth one are correct.

Select A,B, and D.

ED2021

Answer:

A, B, and C

Step-by-step explanation:

I got it right ;)

Find the slope of the line containing the points (5, 3) and (-7, 2).

Answers

The slope is 1/12 or 0.083
The slope would be 1/12

Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts of the expression in terms of the given context.

The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8.

The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Part A
What is the constant term in the polynomial expression, and what does it represent?

Answers

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

Of the travelers arriving at a small airport, 60% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.

What is the probability that the person
a. is traveling on business?
b. is traveling for business on a privately owned plane?
c. arrived on a privately owned plane, given that the person is traveling for business reasons?
d. is traveling on business, given that the person is flying on a commercially owned plane?

Answers

Answer:

a) 0.55 = 55% probability that the person is traveling on business

b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.

c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

50% of 60%(major airlines)

70% of 20%(privately owned airplanes)

80% of 100 - (60+20) = 20%(comercially owned airplanes). So

[tex]p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55[/tex]

0.55 = 55% probability that the person is traveling on business.

Question b:

70% of 20%, so:

[tex]p = 0.7*0.2 = 0.14[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

Question c:

Event A: Traveling for business reasons.

Event B: Privately owned plane.

0.55 = 55% probability that the person is traveling on business.

This means that [tex]P(A) = 0.55[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

This means that [tex]P(A \cap B) = 0.14[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545[/tex]

0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

Question d:

Event A: Commercially owned plane.

Event B: Business

80% of those arriving on other commercially owned planes are traveling for business reasons.

This means that:

[tex]P(B|A) = 0.2[/tex]

0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

can anyone heelp me







b

Answers

Answer:

B. suggest that you and your boss schedule regular check-ins at lunchtime and at the end of the day

Step-by-step explanation:

It allows you to be ontask at your role (which you are hired for) while at the same time helps your boss know that you are on top of everything. It is the most polite option since you are setting professional boundaries but not complaining and showing frustrations.

(also so that your boss isn't micro-checking on you)

What fraction is equivalent to 0.46464646...


A)

46∕999

B)

46∕99

C)

23∕50

D)

46∕100

Answers

Answer:

Hello,

answer is B

Step-by-step explanation:

[tex]0.\overline{46}=\dfrac{46}{99}[/tex]

The answer is a fraction with numerator is the period (46) and the denominator is a number made with 9 as longer that there are digits in the  periode (here 2 digits ==> 99)

find the derivative of e power ax divide by log bx​

Answers

Answer:

Step-by-step explanation:

Solve d – 0.31 ≥ 1.87 Question 1 options: A) d ≤ 2.18 B) d = 2.18 C) d ≥ 1.56 D) d ≥ 2.18

Answers

Answer:

D) d ≥ 2.18

Step-by-step explanation:

d – 0.31 ≥ 1.87

d >_ 1.87 + 0.31

d >_ 2.18

A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 9. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.
Compute the corresponding sample distribution value. (Test the difference μ1 − μ2. Round your answer to two decimal places.)

Answers

Answer:

The answer is "-3.04"

Step-by-step explanation:

[tex]\to \bar{x_1}-\bar{x_2}=9-11=-2[/tex]

Sample distribution:

[tex]z=\frac{\bar{x_1}-\bar{x_2}- \bar{\mu_1}-\bar{\mu_2}}{\sqrt{\frac{\sigma_{1}^2}{n_1}+\frac{\sigma_{2}^2}{n_2}}}\\\\[/tex]

   [tex]=\frac{(-2)-0}{\sqrt{\frac{3^2}{49}+\frac{4^2}{64}}}\\\\=\frac{-2}{\sqrt{\frac{9}{49}+\frac{16}{64}}}\\\\=\frac{-2}{\sqrt{\frac{576+784}{3136}}}\\\\=\frac{-2}{\sqrt{\frac{1360}{3136}}}\\\\=\frac{-2}{\sqrt{0.433}}\\\\=\frac{-2}{0.658}\\\\=-3.039\\\\=-3.04[/tex]

The angle θ between 5i-j+k & 2i-j+k is​

Answers

Step-by-step explanation:

Let,

[tex] \sf \vec{a} = 5 \hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{a}| = \sqrt{ {5}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{25 + 1 + 1} \\ = \sqrt{27} \\ \\ \sf \vec{b} = 2\hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{b}| = \sqrt{ {2}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{4 + 1 + 1} \\ = \sqrt{6} \\ \\\sf \: \vec{a}. \vec{b} = (5 \hat{i} - \hat{j} + \hat{k}).(2\hat{i} - \hat{j} + \hat{k}) \\ = 5 \times 2 + ( - 1) \times ( - 1) + 1 \times 1 \\ = 10 + 1 + 1 \\ = 12 \\ \\ \sf \: angle \: between \: \vec{a} \: and \: \vec{b} \: = \theta \\ \\ \: so \\ \sf \vec{a}. \vec{b} = | \vec{a}| . | \vec{b}| cos\theta \\ = > \sf \: cos \theta \: = \frac{ \vec{a}. \vec{b}}{ | \vec{a}| . | \vec{b}| } \\ = > cos \theta = \frac{12}{ \sqrt{27} \times \sqrt{6} } = 0.94 \\ = > \theta = {cos}^{ - 1} (0.94) \\ = > \green{\theta = 19.47 ^{ \circ} }[/tex]

Choose the number that belongs to the set described

Answers

Answer:

Natural numbers,integers, rational numbers, irrational numbers.

4 trillion = 4x 10million missing exponent

Answers

Answer:

3

Step-by-step explanation:

im pretty sure

On a recent trip to the convenience Store you picked up 4 gallons of milk 4 bottles of water and 5 snack size bags of chips your total was $28.35 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $2.10 more than a bottle of water how much does each item cost​

Answers

Answer:

The milk cost $2.10 each the snacks cost $1.535 each the water cost $3.07 each

Step-by-step explanation:

I think Im right

solve the following ineuality -1+6(-1-3x) >-39-2x

Answers

Step-by-step explanation:

(=) 5 (-1-3x) >-39-2x

(=) -5-15x > -39-2x

(=) -13x > -34

=> x < 34/13

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of larger triangle = 165 ft^2 Thank you!!​

Answers

9514 1404 393

Answer:

  73 ft²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  smaller area = larger area × ((10 ft)/(15 ft))² = 165 ft² × (4/9)

  smaller area = 73 1/3 ft² ≈ 73 ft²

Answer:

Area of the smaller triangle = 73 square feet

Step-by-step explanation:

Area of the larger triangle = 165 square feet

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

[tex]\frac{1}{2}(\text{Base})(\text{Height})=165[/tex]

[tex]\frac{1}{2}(15)(\text{Height})=165[/tex]

Height = 22 ft

Since, both the triangles are similar.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

Let the height of smaller triangle = h ft

Therefore, [tex]\frac{h}{22}=\frac{10}{15}[/tex]

h = [tex]\frac{22\times 10}{15}[/tex]

h = 14.67 ft

Area of the smaller triangle = [tex]\frac{1}{2}(10)(14.67)[/tex]

                                              = 73.33

                                              ≈ 73 square feet

Evaluate the equation

9!/6!3!

Answers

84!! have a good day!

Help pls and thank you

Answers

A, C, and D are all correct answers, since you are taking away 4 in each of the answers. Hope this helped!

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches with a standard deviation of .2 inches. The sample size was 50. The point estimate for the mean length of all bolts in inventory is

Answers

Answer:

[tex]L_x=5.3 inches[/tex]

Step-by-step explanation:

Average length [tex]\=x =5.3 inches[/tex]

Standard deviation [tex]\sigma=0.2 inches[/tex]

Sample size [tex]n=50[/tex]

Generally The point estimate for the mean length of all bolts in inventory is

[tex]L_x= \=x[/tex]

[tex]L_x=5.3 inches[/tex]

7+4i+1-3i simplify as much as possible

Answers

Answer:

8+i

Step-by-step explanation:

7+4i+1-3i

Combine like terms.

8+i

I hope this helps!

pls ❤ and give brainliest pls

Solve four and two fifths plus two and two thirds

Answers

Hope this helps!

The answer is 7 1/15
The answer to your question is 7 1/2. Break the fraction down and combine

An employee makes $11.20 per hour but is getting a 6.5% increase. What is his new wage per hour to the nearest cent? His new wage per hour is?​

Answers

Answer:

11.93

Step-by-step explanation:

First find the amount of increase

11.20 *6.5%

11.20 *.065

0.728

Rounding to the nearest cent

.73

Add this to the original wage

11.20+.73

11.93

-1/5y+7=7
What is the value of y?

Answers

The answer is y=0

See the attached photo for details

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Hey guys not good at math please help

Answers

Answer:

3/2

Step-by-step explanation:

Recall that slope is y2 - y1 / x2 - x1.

Excellent. The question provides us with two points: (2,4) and (0,1). We can insert these two points into our equation.

Slope = (4 - 1) / (2 - 0) = 3 / 2.

Hope this helps!

Answer:

3/2

Step-by-step explanation:

(0,1) and (2,4)

(y2-y1)/(x2-x1)

= (4-1)/(2-0)

=3/2

Answered by GAUTHMATH

Compare –3.5 and . Use <, >, or =.

–3.5 >

–3.5 <

–3.5 =

Answers

Answer:

-3.5 > -4.5-3.5 < -1.5-3.5 = -3.5

Step-by-step explanation:

Give any integer that suits the expression:-3.5 > -4.5-3.5 < -1.5-3.5 = -3.5• The farther a negative integer from 0, the smaller its value.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Kylie has a loyalty card good for a 13% discount at her local hardware store. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

Answer:

.87

Step-by-step explanation:

She gets 13 off so 100-13 =87

She will pay 87%

Multiply by .87

Kylie must multiply the price by 0.87 to get the discounted price.

Given that,
Kylie has a loyalty card good for a 13% discount at her local hardware store. What number should she multiply the prices on the tags by to find the price she would have to pay, is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
let the price be x,
Now,
According to the question,
discounted price = x - 13% of x
Discounted price = x - 0.13x
Discounted price = 0.87 x
The coefficient of the x represents the multiplication factor for Kylie.

Thus, Kylie must multiply the price by 0.87 to get the discounted price.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2



please help me out with this

Answers

Answer:

5<x<29

Step-by-step explanation:

One theorem tells us that if a triangle has two congruent sides and one of the included angle is bigger than the other, the triangle with the included angle that is bigger. has a bigger side than the other.

This is the opposite in this case. The triangles share two sides and we know that the triangle with the side length 18 has a bigger angle than the triangle with the side length 15. So this means that

[tex]48 > 2x - 10[/tex]

Let find the range of x values.

An angle cannot be negative or zero so this means that

[tex]2x - 10 > 0[/tex]

Solve for x.

[tex]2x > 10[/tex]

[tex]x > 5[/tex]

The angle cannot be bigger than 48 so

[tex]48 > 2x - 10[/tex]

Solve for x.

[tex]58 > 2x[/tex]

[tex]29 > x[/tex]

So x must be greater than 5 but less than 29.

Power Function:

Analyze and model the power function: Exercise 1

(Correctly identify the function and later use it to answer the questions asked, including the development and the answer)

Answers

Answer:

The function is:

f(x) = axⁿ

According to data in the table we have:

f(1) = 3 ⇒ a(1)ⁿ = 3 ⇒ a*1 = 3 ⇒ a = 3f(2) = 12 ⇒ 3*2ⁿ = 12 ⇒ 2ⁿ = 4 ⇒ n = 2

Since we found the values of a and n, the function becomes:

f(x) = 3x²

The number of infected to the tenth day:

f(10) = 3*10² = 300

Determine the coordinates of the ordered pairs on the coordinate grid.

Answers

Answer:

A = (5,7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

Step-by-step explanation:

Answer:

A = (5, 7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

To do these problems, trace along in a straight line from the coordinate to the x- axis line and then to the y-axis line. Whatever number you reach will be part of the coordinate.

Hope this helped.

Other Questions
The heart is an example of which level of organization within an organism?cellorgantissueorgan system You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?There will be $220 in the account after ___ weeks show your acquittance with report? discuss the didifferent types of report. Read the Bible passage.Exodus 26:1This passage..poetry. Write a fiction story about Da de los muertos in Spanish. Be at least 10 sentences.I AM NOT LOOKING FOR THE DEFINITION OF DA DE LOS MUERTOS. I NEED A MADE UP SPANISH STORY AT LEAST 10 SENTENCES LONG.i will give brainliest Last year there were 45 memebers of the tennis club at Marks Middle school. This year although the number of boys increeased by 20%, the number of girls decresed by 20%, the total numbers decresed by 1. Find how many boys anf girls are in the tennis club this year. Help me pleases If an object is travelling 25.0 meters/second, how far will it travel in 45 minutes? Select the pseudo-code that corresponds to the following assembly code. Assume that the variables a, b, c, and d are initialized elsewhere in the program. You may want to review the usage of EAX, AH, and AL (IA32 registers). Also recall that the inequality a > b is equivalent to b < a. i.e. If A is greater than B, that's equivalent to saying that B is less than A..data; General purpose variablesa DWORD ?b DWORD ?c BYTE ?d BYTE ?upperLevel DWORD 18lowerLevel DWORD 3; Stringsyes BYTE "Yes",0no BYTE "No",0maybe BYTE "Maybe",0code main PROC mov eax, 1 cmp AH, c jg option1 jmp option3option1: mov edx, OFFSET yes call WriteString jmp endOfProgramoption2: mov edx, OFFSET no call WriteString jmp endOfProgramoption3: mov edx, OFFSET maybe call WriteStringendOfProgram: exitmain ENDPEND maina) if (c > 0) print (yes);else print (maybe);b) if (c < 0) print (yes);else print (maybe);c) if (c < 1) print (yes);else print (maybe);d) if (c > 1) print (yes);else print (maybe); Will Mark Brainlest Help pls Find an equation of the circle whose diameter has endpoints (-6, -1) and (-2,3). Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360 540 720 1,080 The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w 40 to solve the problem.A rectangle with a length of 16 feet and width of w.What are the possible widths of the banner if the students can use no more than 40 square feet of material?at most 2.5 ft wideless than 2.5 ft wideat least 0.4 ft wideno more than 0.4 ft wide WILL GIVE BRAINLIEST mention two demand side Approaches which are used by RSA government to promote economic growth and development In general atmosphere pressure is greater near earths surface and -as you move upward away from sea level It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]NO LINKS I need help I really dont understand this question martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ? please someone help Why do scientists not use US customary units when reporting their data?