The length of a planet's orbit around a star is approximately 22,200,000 km. It takes the planet about 1230 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf?​

Answers

Answer 1

Answer:

Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.

Step-by-step explanation:

The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:

[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].

Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:

[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].

Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:

[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].

If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].


Related Questions

2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate

which one?​

Answers

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

https://brainly.com/question/9165533

https://brainly.com/question/10605353

easy one - giving brainly if correct - show work.
answer as many as you can!​

Answers

Answer:

41. - 0.8

42. - 2.375

43. - 0.625

44. - 0.833

45. - 3.667

46. - 0.5

Step-by-step explanation:

Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.

1/5 = 0.2

1 - 0.2 = 0.8

1/4 = 0.25

1/8 = 0.125

1 + 1 = 2

0.25 + 0.125 = 0.375

2 + 0.375 = 2.375

3/8 = 0.375

1 - 0.375 = 0.625

2/3 = 0.667

1/2 = 0.5

4.5 - 3.667 = 0.833

1/2 = 0.5

1/6 = 0.167

2 + 1 = 3

0.5 + 0.167 = 0.667

3 + 0.667 = 3.667

1/4 = 0.25

0.25 x 2 = 0.5

Brainly?

the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?


A) organize the problem and find the question

B) solve the problem and change your strategy if necessary

C) write the facts, organize your thoughts and define your strategy

D) organize the step and underline the question​

Answers

that's the answer Just look at the picture's

bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)​

Answers

Answer:

1.2

Step-by-step explanation:

8.8 - 2.2 x 4 + 1.2

8.8 - 8.8 + 1.2

1.2

Substitute x = 9 and solve for B
3x + 10 = b

Answers

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

Anyone wanna hope on a meet

Answers

Answer:

yes I would like to hope on a meet that will be fun

The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.

-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2

-If 121 is the output, what was the input?

Answers

Answer:

Step-by-step explanation:

given m||n, determine the value of x (4x-7) (3x+9)

Answers

Step-by-step explanation:

7×4-=28-×3×9=27×28-=756-

i need help please ill give u brainlist to who ever answer

Answers

They had 36 dollars

An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?

Answers

$180 dollars would be saved. The 12 monthly investments of $40 dollars would be enough to pay for the item alone. The second option totals $680 while the first is $500 as stated.

If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.

Brainly Challange for high level user.​

Answers

Answer:

k = - [tex]\frac{16}{15}[/tex]

Step-by-step explanation:

Since x = - 2 is a zero , then p(- 2) = 0 , that is

2(- 2)² - 3(- 2)(5k + 4) = 0

2(4) + 6(5k + 4) = 0 ← distribute parenthesis

8 + 30k + 24 = 0

30k + 32 = 0 ( subtract 32 from both sides )

30k = - 32 ( divide both sides by 30 )

k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]

Given Polynomial P(x) = 2x^2-3x(5k+4)

Zero = -2

We know that

If -2 is zero of the Polynomial then it satisfies the given Polynomial

⇛P(-2) = 0

⇛ 2(-2)^2-3(-2)(5k+4)=0

⇛ 2(4)+6(5k+4) = 0

⇛ 8+30k+24 = 0

⇛ 30k+32 = 0

⇛ 30 k = -32

⇛ k = -32/30

⇛ k = -16/15

Answer:- The value of k = -16/15.

Read more:

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If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k...

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Write the coefficient of i) x3 in 2x + x2 – 5x3 + x4 ii) x2 in (π/3) x2 + 7x – 3 iii) x in √3 - 2√2x + 4x2 Q3. If p(y) = 4 + 3y – y2 + 5y3, find (i) p(0) ii) p(...

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3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?

Answers

3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.

a. What is the height of the higher ski slope to the nearest metre?

Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?

Answers

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

i need help: solve (4x^(6))^((3)/(2))

Answers

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

what is the volume of the prism ?

Answers

Answer:

150 units squared

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

26s+24

Step-by-step explanation:

2(3s+9) +2(10s+3)

6s +18+20s +6

26s +24= perimeter

What is are the steps for multiplying (0.03)(-0.02)

Answers

Answer: (0.03)(-0.02) = -0.0006

Step-by-step explanation:

Step 1: Remove the Parenthesis

(0.03)(-0.02) → 0.03 ⋅ 0.02

Step 2: Multiply

0.03 ⋅ 0.02 = -0.0006

,  Hope this helps :)

Have a great day!!

Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?

Answers

I think it would be $66 because it said that he saved 10 and he payed $56 so if u add 10 dollars to 56 u get 66 sorry if it’s wrong

if [tex]a_{1}[/tex]=4 and [tex]a_{n}[/tex]= [tex]5a_{n-1}[/tex]-1 then find the value of [tex]a_{3}[/tex]

Answers

Answer:  94

========================================================

Explanation:

The first term is 4 because of the notation [tex]a_1 = 4[/tex]

To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.

2nd term = 5*(1st term) - 1

2nd term = 5*4 - 1

2nd term = 19

This means [tex]a_2 = 19[/tex]

We repeat this process again to find the third term [tex]a_3[/tex]

[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]

The third term is 94

Explain how 1 + 1 can be three.

Will mark brainliest

Answers

Answer:

1+1=2  

1+1−52=2−52

(1+1−52)2=(2−52)2

(1+1−52)2=22−10+(52)2

(1+1−52)2=4−10+(52)2

(1+1−52)2=9–15+(52)2

(1+1−52)2=32–15+(52)2

(1+1−52)2=(3−52)2

1+1−52=3−52

1+1=3

Ab= 14
Co=8
OD=3
Find ob

Answers

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]

HELP!!! I WILL GIVE BRAINLIEST!!!!

1.Find f(4) if f(x) = (1/2)x + 13

2.Find f(5) if f(x) = (3/5)x - 10

3.Find f(-1) if f(x) = x2 + 7

4.Find f(2) if f(x) = 3x3 -12x2

Answers

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15

2

f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?

Answers

Answer:

72%

Step-by-step explanation:

36/50 = 0.72

0.72 x 100 = 72%

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answers

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

Solve for the unknown variable:

Answers

Answer:

if it's a^2+b^2 question,the answer is 25.

Answer:

c =25

Step-by-step explanation:

a^2 + b^2 = c^2

15^2 +20^2 = c^2

625 =c^2

25=c

Need help will give brainliest!!

Answers

Answer:

Step-by-step explanation:

zoom factor=1/2

new dimensions=11/2,16/2

or 5.5 ,8

Find the unit rate for each problem.​

Answers

Answer:

1. 11 players per team

2. 60 miles per hour

3. 25 games per season

4. 60 words per minute

Step-by-step explanation:

1) 132 players divided by 12 teams = # of players per team

132/12 = 11 players per team

2) 240 miles divided by 4 hours = # of miles per hour

240/4 = 60 miles per hour

3) 125 games divided by 5 seasons = # of games per season

125/5 = 25 games per season

4) 180 words divided by 3 minutes = # of words per minute

180/3 = 60 words per minute

Help guys I need this right now lol I lose credit

Answers

Answer:

Answer Below

Step-by-step explanation:

7: Not congruent; Only one angle and only side is shown for each triangle

8: ASA; Two angles shown with a side put in-between

9: SSS; Should be self-explanatory (only sides are shown)

10: ASA; Angles with side shoved between

11: Not Congruent; Triangles are separated and only one side are shown

12: Not Congruent; Angles said to be congruent are on different angles

can i have help on this q plz

Answers

Answer:

No, they will need an additional £34 to stay the planned 10 nights.  

Step-by-step explanation:

Attached screenshot of a spreadsheet.

The cost for 10 nights for the 2 people is £100.

The tent site rental (over 10m^2) for 10 nights is £150.

Savings for the two over the 9 weeks is £216.

They will need an additional £34 to camp as planned.  

I suggest fibbing about the extra 0.5m^2 needed for the tent site.  That will reduce the bill by £30, so they are only £4 short.  Time to make a couple of friends.

2. Three vertices of a parallelogram are
given as coordinates (-4, 2), (-2, 4), and
(1, -3) in the graph. Which coordinates
best represent the location of the fourth
vertex of the parallelogram?
o
F. (3, 1)
G. (3, -1)
H. (1, -3)
1. (-1,3
HELPP MEEE PLSSS

Answers

Answer:

I think g would be correct

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