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)
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Answer:
2 Superscript three-halves
Step-by-step explanation:
Edge
can someone pls just give me a simple answer -6(2z - 4) use Z = 3
Answer:
12
ignore this i have to put words in to give u the answer
Answer:
-6 (this is easy math)
[tex]3(x+2)^2-6=21[/tex]
Geometry problem above^^^ In the figure at the right FGH ~ KLJ....
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
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.
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 constantThe 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
Plz help ASAP plz help
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
(SAT Prep) Find the value of x.
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.
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
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!
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
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?
find the area of the trapezium whose parallel sides 24 cm and 20 cm and the distance between them is 15 cm.
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?
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]
what is two plus eight
Answer:
2 + 8 = 10
Step-by-step explanation:
Hope it helps you!
Answer:
10 is the answer
Step-by-step explanation:
perform the indicated operation (x-4)(x+8)
Answer:
X^2+4X-32Step-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
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
Answer:
The answer is b, c, d and e
Which line is the line of reflection?
Answer:
b
Step-by-step explanation:
because those two triangles are face to face
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.
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:
Need help can someone plz help me
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%
find the Sum and the product
of the root of the Equadration
1/3and 2/3
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)
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?
Answer: Nothing or 0
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
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
determine the prime number between 150 and 200
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
Can someone explain how to do this
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.
what the word form of 500.2
Answer:
How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.
I count on the best
Solve 1/11c > 9. Graph the solution. . The solution is
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.
Write the equation of the line graphed below in slope-intercept form (y=mx+b)?
Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT
Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
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.
hope this helps!!
mark me brainlist? this took a lil bit
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
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
I am having trouble on figuring out how to write this out to solve it.
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
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
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:
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.
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.