Which rectangular equation represents the parametric equations x =t Superscript one-half and y = 4t?

ANSWER: A

Which Rectangular Equation Represents The Parametric Equations X =t Superscript One-half And Y = 4t?ANSWER:

Answers

Answer 1
The answer for this is A
Answer 2

The rectangular equation that represents the parametric equation [tex]x=t^{\frac{1}{2} }[/tex] and y = 4t is:

[tex]y=4x^2[/tex] for [tex]x\geq0[/tex]

Note the given representations:

[tex]x=t^{\frac{1}{2} }[/tex]

[tex]y=4t[/tex]

Make t the subject of the formula from the expression [tex]x=t^{\frac{1}{2} }[/tex]

[tex]x^2=t^{\frac{1}{2}\times2\\\\x^2=t\\t=x^2[/tex]

Substitute [tex]t=x^2[/tex] into y = 4t

[tex]y=4x^2[/tex]

Therefore, the rectangular equation that represents the parametric equation [tex]x=t^{\frac{1}{2} }[/tex] and y = 4t is:

[tex]y=4x^2[/tex] for [tex]x\geq0[/tex]

Learn more on parametric equation here: https://brainly.com/question/14746714

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Related Questions

Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)

Answers

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

choose the inequality that represents the following graph

Answers

Answer:

its a

Step-by-step explanation:

did it on khan 2021

I need help on these problems!! Please help

Answers

Answer:

1. 6cm

2. 14cm

3. 12cm

4. 8cm

5. 9cm

6. 5cm

Step-by-step explanation:

Hope this helps

convert 131 57’ 32” to decimal degree

Answers

Answer:

131.95888888888888

Step-by-step explanation:

Your Welcome :)

how do you decompose a parallelogram into two triangles

Answers

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

The ratio of boys to girls is 2 to 3. There are 10 boys. How many girls are in the club?

Answers

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

What is the square root of 81

Answers

Answer:

9

Step-by-step explanation:

81 to find the square root of 81 you got to find 2 numbers that multiply to get to 81

HELP ASAP!!
Meagan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized

Answers
60%
50%
62.5%
75%

Answers

Answer:

62.5%

Step-by-step explanation:

150/240=0.625

you do 0.625x100 to get the percent.

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Given the information in the Microsoft Excel Online file below, construct a spreadsheet to determine how large a sample should be taken for each desired margin of error.

Answers

Answer:

A. 384.16

B. 2,401

C. 9,604

D. No

Step-by-step explanation:

Calculation to determine how large a sample should be taken for each desired margin of error

First step is to find σ which represent Population Standard deviation

σ=($50,000-$30,000)/4

σ=$20,000/4

σ = 5,000

Now let calculate how large a sample should be taken for each desired margin of error

Using this formula

n = (Za/2*σ/E)^2

Where,

Za/2=1-0.95/2

Za/2=0.05/2

Za/2=0.025

Z-score 0.025=1.96

Za/2=1.96

σ =5,000

E represent Desired margin of error

Let plug in the formula

a. $500

n = (1.96* 5,000/$500)^2

n=(9,800/$500)^2

n=(19.6)^2

n = 384.16

b. $200

n = (1.96*5,000/200)^2

n=(9,800/$200)^2

n=(49)^2

n = 2,401

c. $100

n = (1.96*5,000/$100)^2

n=(9,800/$100)^2

n=(98)^2

n = 9,604

Therefore how large a sample should be taken for each desired margin of error will be :

A. $500= 384.16

B. $200= 2,401

C. $100= 9,604

d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.

Find the value of X round to the nearest 10th

Answers

Answer: 22.1°

Step-by-step explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

Solve for w.
2w - 5 = -3
samana

Answers

Answer:

2w = -3 + 5

W = 2

Step-by-step explanation:

W=-1

Add 3 to -3 & -5
-5 becomes -2
Divide 2 into -2

PLEASEEE HELP
I NEED ANSWRR NOW

Answers

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH

Misha practices the guitar for 3 hours every day.

A 2-column table with 6 rows. Column 1 is labeled Days with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled hours with entries 3, 6, 9, 12, 15, 18.

Which equation models the situation?
3 = hd
h = 3d
d = 3h
h = d

Answers

Answer:

It is B. H = 3d

Step-by-step explanation:

I got it right :)

Answer:

the answer is B

Step-by-step explanation:

h = 3d

your welcome

f(x) = x^2. What is g(x)?

Answers

Answer:

D. g(x) = (1/4 x)^2

Step-by-step explanation:

We have to choose a solution in which the point (4, 1) works.

A) g(x) = 1/4(x^2) = 1/4(4^2) = 1/4(16) = 4 ≠ 1

B) g(x) = (1/2 x)^2 = (1/2 * 4)^2 = 2^2 = 4 ≠ 1

C) g(x) = 4(x^2) = 4(4^2) = 4(16) = 64 ≠ 1

D) g(x) = (1/4 x)^2 = (1/4 * 4)^2 = 1^2 = 1

2/9 of the students in a school are in sixth grade.

a. How many sixth graders are there if the school has
90 students?

b. How many sixth graders are there if the school has
27 students?

c. if the school has x students write an expression for the number of students of sixth graders in terms of x

d. how many students are in the school of 42 of them are in 6th grade

Answers

Answer:

a) 20 sixth graders.

b) 6 sixth graders.

c) 2/9x sixth graders.

d) 189 students in the school.

Step-by-step explanation:

a) 2/9 of 90 = 2/9 * 90 = 20 students.

b) 2/9 of 27 = 2/9 * 27 = 6 students.

c) 2/9 of x = 2/9x

d) 42 = 2/9x so solve the equation: x = 189 students.

If we have 90 students in the school then we will have  20 sixth grade students.

a. From the details of the question, we have 2/9 of the students in the school in sixth grade. Hence;

Number of students in sixth grade = 2/9 × 90 = 20 sixth grade students

b. If the school has 27 students, number of sixth graders =  2/9 ×  27 = 6 sixth grade students

c. If we have x students in the school, the number of sixth graders =  2/9 × x = 2/9x students

d. If we have 42 students in sixth grade, the number of students in the school is;

2/9 × x = 42

x = 9/2 × 42 = 189 students

Learn more about fractions: https://brainly.com/question/1301963

A digital music
2. service sells 12 songs
for $9.96. At this rate,
how many songs
can you purchase
for $4.15?

Answers

Answer:

You can buy 5 songs.

Step-by-step explanation:

First, you would divide 9 by 12 which is 0.83, assuming that each song costs 0.83 by itself you would just add 0.83 + 0.83 until you reach 4.15, the amount of times you added is the answer, which is 5 lolz


How can you rewrite a^7 using exponent rules?

Answers

a+a+a+a+a+a+a is the answer I believe

The width of the rectangle is 20% of its length. What is the area of the rectangle?


it's 60 ft btw​

Answers

Answer:it is 60

Step-by-step explanation:

A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?

please answer asap

Answers

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

need help geometry be serious

Answers

Angle A would be the correct one

what is 48,000 rounded to the nearest ten thousand

Answers

50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.

x + 15 = 28
O A. x= 13
O B. x = 33
O C. x = 43
O D. x = 23

Answers

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

What is the domain of the function

Answers

Answer:

it will be the first one

Step-by-step explanation:

2x + 8y=30 y=2 solve for x

Answers

Answer:

23

Step-by-step explanation:

2x+ 8(2)= 30

2x+ 16=30

2x=14

x=7

The value for x is 23

The diagram shows a right-angled triangle.
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

The diagram is missing, so i have attached it.

Answer:

h = 7.7 cm

Step-by-step explanation:

From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP

Answers

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

How can I find the area for this shape please help!

Answers

Answer:

12cm²

Step-by-step explanation:

a=l·w

the easiest way to find the area is to break up the shapes.

the smaller shape is 1cm by 2cm

1·2= 2 cm

the larger shape is 5cm by 2cm

5·2= 10 cm

add them

2+10= 12cm

Answer:

12cm^2

Step-by-step explanation:

These are two rectangles if we divide.

So,

Area of rectangle = length × breadth

So we will name the bigger rectangle as R1 and the smaller rectangle as R2.

So,

Area of R1 = l × b

Area of R1 = 5×4

Area of R1 = 5 × (4-2)

Area of R1 = 5 × 2

Area of R1 = 10 cm^2

Area of R2 = l × b

Area of R2 = (4-2) ×1

Area of R2 = 2 × 1

Area of R2 = 2cm^2

So,

Area of complete figure = Area of R1 + Area of R2

Area of complete figure = 10 + 2

Therefore, Area of complete figure = 12cm^2

Hope it helps!!!!

you made a 12 minute call using a calling card. The call costs $0.66. there is a $1.21 left on your card. if the rate stays the same, how many more minutes can you talk for using the card

Answers

1 because .66+ .66 is 1.32 which is an amount you don’t have. So 1 should be the answer.

how do i graph y=1/2x+3

Answers

The Y intercept would be 3 and then the rate of change would be 1/2.
First you mark your y-Int (0,3) then from that point go up 1 then 2 to the right and you mark that point and connect the two points with a line in your graph :)

Please help i need answers am bad at math

Answers

Answer:

1) 2 5/9

2) 4 5/6

3) 4 3/8

4) 5 3/5

5) 7 1/3

6) 6 1/9

7) 7 1/8

8) 2 2/9

9) 5 3/4

Step-by-step explanation:

Hope this helps

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