The equation T^2= A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. if the orbital period of planet Y is twice the orbital period of planet x, by what factor is the mean distance increased?

Answers

Answer 1

The mean distance increased by a factor of 2^(²/₃)

How to find the factor of increase?

The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is;

T² = A³.

Let the orbital period of planet X = T(X).

Let the orbital period of planet Y = T(Y).

Let the mean distance of planet X from the sun = A(X).

Let the mean distance of planet Y = A(Y).

Thus;

A(Y) = 2A(X)

Therefore;

[T(Y)]² = [A(Y)]³ = [2A(X)]^3

However, [T(X)]² = [A(X)]³

Thus;

[T(Y)]² = 2³[T(X)]² * [T(Y)]²/[T(X)]² = 2³T(Y)/T(X) = 2^(³/₂)

That's for orbital period but the mean distance will increase by 2^(²/₃)

Thus we conclude that, the mean distance increased by a factor of 2^(²/₃)

Read more about factor of increase at; https://brainly.com/question/1638294

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Answer 2

Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge


Related Questions

can someone pls just give me a simple answer -6(2z - 4) use Z = 3​

Answers

Answer:

12

ignore this i have to put words in to give u the answer

Answer:

-6 (this is easy math)

Write the equation of the line graphed below in slope-intercept form (y=mx+b)?​

Answers

y = -1/2x - 1

Tell me if you need explanation

A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.

Answers

Answer:

D.  The amount of fabric needed for each pair of shorts

Step-by-step explanation:

i just did the quiz

Answer:

the amount of fabric needed for each pair of shorts or D

Step-by-step explanation:

what the word form of 500.2​

Answers

Answer:

How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.

I count on the best

[tex]3(x+2)^2-6=21[/tex]

Answers

Oh that’s simple you subtract 6 and 3 and 2 from 21 making 10 so 10 is your ancer

determine the prime number between 150 and 200​

Answers

Answer:

Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers

hope it helps you

please mark me as brainlist

Plz help ASAP plz help

Answers

Answer:

t=12

Step-by-step explanation:

5t / 4 = 18 - 3

5t / 4 = 15

5t = 15 x 4

5t = 60

t = 12

Hope that helps!

Answer t is 12

Step by step explanantion

Which line is the line of reflection?

Answers

Answer:

b

Step-by-step explanation:

because those two triangles are face to face

Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

ANSWERS ARE:

2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.

Answers

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

find the area of the trapezium whose parallel sides 24 cm and 20 cm and the distance between them is 15 cm.​

Answers

Answer:

330

Step-by-step explanation:

A=a + b / 2 x h

a = 24, b = 20, h = 15

24 + 20 divided by 2 times 15

44 divided by 2 time 15

22 times 15 = 330

What is the volume of the cone shown below?

Answers

Answer:

A. [tex] 96\pi \: cu. \: units[/tex]

Step-by-step explanation:

Radius of cone (r) = 4 units

Height of cone (h) = 18 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]

Can someone explain how to do this

Answers

Answer:

20%

Step-by-step explanation:

im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.

Question 5 of 5 0 3 4 5 6 7 8 9 10 Which of the following could be the number shown on the number line? O A A. V20 OB. √24 C. 27 D. 26​

Answers

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

Which of the expressions below is greater than 100? Select all that apply.

A) 41.588 + 48.112
B) 25.768 + 77.312
C) 93.546 + 7.015
D) 297.354 – 195.81
E) 112.457 – 11.982

Answers

Answer:

The answer is b, c, d and e

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answers

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.

Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c. Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend

Answers

Answer:

1. Mean = r bar = 0.0154mm

Standard deviation = 0.0009096

2. Proportion of rework produced = 30ppm or 0.0003%

Proportion of scrap = 60ppm or 0.0006%

3 recommended value = 0.3000

Step-by-step explanation:

The mean = x bar = 0.3015mm

Standard deviation = r bar/d2

R bar = 0.0154 mm

d2 = 1.693mm

= 0.0154mm/1.693mm

= 0.0009096mm

B. Lower specification 0.295

P(x<0.295)

= ϕ(0.295-0.3015/0.0009096)

This gives us 0.00003

So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked

For scrap,

X>0.305 upper specifications

1-ϕ(0.305-0.3015/0.0009096)

= 1-0.99994

= 0.00006

So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.

c. to get the recommended value of the process mean

= (0.305+0.295)/2

= 0.6/2

= 0.3000

the recommended value would be 0.3000

find the Sum and the product
of the root of the Equadration
1/3and 2/3​

Answers

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.

Answers

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

Using above method for getting the needed constant

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

I am having trouble on figuring out how to write this out to solve it. ​

Answers

The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

the formula may be h^2x h squared x for expanding using sum/difference

Solve 1/11c > 9. Graph the solution. . The solution is​

Answers

Answer:

I suppose that the inequality is:

(1/11)*c > 9.

To solve this we need to isolate c in one side of the inequality.

To isolate it, we need to multiply both sides by 11, then we get:

11*(1/11)*c > 9*11

c > 9*11 = 99

c > 99.

To graph this, we will have an open dot at c = 99, and an arrow that points to the right direction.

The graph is shown below.

(SAT Prep) Find the value of x.

Answers

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

Recall that triangles add to 180 degrees.
In the left triangle, the angles are 35 + 90 + angle = 180. The third angle of the left triangle is 55 degrees.

Now recall that angles drawn from a straight line all add up to 180 degrees
So 55 + 60 + third angle = 180. Thus, the third angle is 65 degrees.

Within the middle triangle, we now have 2/3 of the angles. 90 + 65 + third angle = 180. Thus, the third angle is 25 degrees.

25 degrees is right next to angle X. As we have already stated, they add up to 180 when adjacent.

So 180-25 = 155 degrees, the value of angle X.

what is two plus eight

Answers

Answer:

2 + 8 = 10

Step-by-step explanation:

Hope it helps you!

Answer:

10 is the answer

Step-by-step explanation:

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

hope this helps!!                        

mark me brainlist? this took a lil bit

Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT

Answers

Answer:

119°

Step-by-step explanation:

It’s 119.  You don’t need to solve for h.

perform the indicated operation (x-4)(x+8)

Answers

Answer:

X^2+4X-32

Step-by-step explanation:

I assume you want to simplify this.

Use distributive property:

x^2+4x−32 should be your answer.

Answer:

x^2+4x-32

Step-by-step explanation:

(x-4)(x+8)=x^2+8x-4x-32

x^2+4x-32

Your new computer cost $1,500, but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?​

Answers

Answer:  Nothing or 0

Answer:
the computer will be worth $3120
Step-by-step explanation:
1. Find 18% of 1500
1500* .18 = 270
2. multiply 270 by 6
270*6 = 1620
3. add 1620 to 1500
1620+ 1500 = 3120
4. The computers worth will be $3120

juan dimes received a single payment loan from his loan for $4,000. he agreed to repay the loan in 90 days at an interest rate of 8.5% exact interest. what is the maturity value of his loan when he pays it back in 90 days. 
$83.84
$4,085.00
$4,083.84
$85.00

Answers

9514 1404 393

Answer:

  (c)  $4,083.84

Step-by-step explanation:

The amount due is ...

  A = P(1 +rt)

where P is the amount borrowed, r is the annual rate, and t is the number of years. For "exact interest", we use 365 days in a year, so the number of years is 90/365.

  A = $4000(1 + 0.085×90/365) ≈ $4083.84

Juan's loan will have a value of $4083.84 at maturity.

Answer:

4008.5

Step-by-step explanation:

The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole



Please don’t put random numbers i just want the answer, I’ll make you brainliest

Answers

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

Need help can someone plz help me

Answers

Answer:

16.67%

Step-by-step explanation:

part: 400

percent: x

whole: 2,400

400=x(2,400)

divide both sides by 2,400 to get .1666

.1666=x

move the decimal inwards two times to make it a percentage, and round up the last didget

16.67%

Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)​

Answers

Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)​

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)​

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

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