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].
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?
Answer:
Step-by-step explanation:
Anyone wanna hope on a meet
Answer:
yes I would like to hope on a meet that will be fun
What is are the steps for multiplying (0.03)(-0.02)
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!!
i need help: solve (4x^(6))^((3)/(2))
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
i need help please ill give u brainlist to who ever answer
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?
can i have help on this q plz
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. 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?
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.
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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
that's the answer Just look at the picture's
Need help will give brainliest!!
Answer:
Step-by-step explanation:
zoom factor=1/2
new dimensions=11/2,16/2
or 5.5 ,8
given m||n, determine the value of x (4x-7) (3x+9)
Step-by-step explanation:
7×4-=28-×3×9=27×28-=756-
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
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
Explain how 1 + 1 can be three.
Will mark brainliest
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
what is the volume of the prism ?
Answer:
150 units squared
Step-by-step explanation:
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?
Ab= 14
Co=8
OD=3
Find ob
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]
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?
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?
Substitute x = 9 and solve for B
3x + 10 = b
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
easy one - giving brainly if correct - show work.
answer as many as you can!
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?
Solve for the unknown variable:
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
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
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
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]
========================================================
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
Find the unit rate for each problem.
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
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
Answer:
I think g would be correct
Help guys I need this right now lol I lose credit
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
bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)
Answer:
1.2
Step-by-step explanation:
8.8 - 2.2 x 4 + 1.2
8.8 - 8.8 + 1.2
1.2
Find the perimeter. Simplify your answer.
Answer:
26s+24
Step-by-step explanation:
2(3s+9) +2(10s+3)
6s +18+20s +6
26s +24= perimeter
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?
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.
If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.
Brainly Challange for high level user.
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.
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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?
Answer:
72%
Step-by-step explanation:
36/50 = 0.72
0.72 x 100 = 72%