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].
Nadia charges $7.00 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.70 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answer:
35
Step-by-step explanation:
19+19.50=38.5
38.5×7=269.5
269.5÷7.70=35
Please help I really need help if right you get Branly please help.
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day! - I know I answered this elsewhere, I saw it twice haha
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
Find x in terms of the other letters a( x + b ) = c( x + d )
Answer:
[tex]x=\frac{cd-ab}{a-c}[/tex]
Step-by-step explanation:
The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.
First step is to distribute the a and c on either side,
ax+ab=cx+cdSubtract cx from both sides,
ax+ab-cx=cdNext, subtract ab from both sides,
ax-cx=cd-abThen, factor out x from the left side,
x(a-c)=cd-abFinally, divide both sides by a-c,
[tex]x=\frac{cd-ab}{a-c}[/tex]1.) A desk at Target sales for $150.00. Sales tax is 8.5%. What is the total cost
the desk including sales tax? (1 pt)
Answer
Answer:
$162.75
Step-by-step explanation:
150 * 1.085 = 162.75
I need help with this what is 4x58
Answer:
232
Step-by-step explanation:
4*58=232
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
Answer: 0.48
Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.
Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4
Answer:
-5v+4
Step-by-step explanation:
Remove the parentheses and combine the like terms:
-2v + (-4) + 8 + (-3v)
-2v -4 + 8 -3v [Remove parentheses]
-5v +4 [Combine like terms]
-5v +4
"5 more than a number™ translates to an equation.
O
True
M
w
O False
True
5 more than a number is an equation because you are adding two values.
Answer:
n+5
Step-by-step explanation:
If we choose the number to be n then 5 more than is 5 added to the number.
hence: n + 5
What is the value of the first term in an=n+6?
What is the length of MN
PLZ HELP
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer..
Answer:
Length of side of square=25ftLength of three sides=3(25)=75ft
3ft=1m75ft=15mCost per metre=15.00
Total cost:-
[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]
Does 2/3 = 4/9? Explain
Answer:
No
Step-by-step explanation:
2/3 > 1/2
4/9 < 1/2
Answer:
The left side ( [tex]\frac{2}{3}[/tex] )
0.6 (bar notation)
does not equal to the right side ( [tex]\frac{4}{9}[/tex] )
0.4 (bar notation)
, which means that the given statement is false.
False
What is the square root of r^64
Answer:
the answer is 8
Step-by-step explanation:
because the (8)²is 8×8is 64
1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)
Answer:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
Step-by-step explanation:
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Step-by-step explanation:
you really need help with that ?
250g = 0.250kg = 0.25kg
comparing 0.25kg with 1.25kg : how many times of 0.25 is 1.25 ?
it is the same as with 25 to 125.
5 times !
so, you need to multiply the price also by 5 to get the price per 1.25kg :
0.88 × 5 = £4.40 = 440 pence per 1.25kg
Can someone help me plzzzzz
12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!
Answer:
57.142%
Step-by-step explanation:
28-12=16
16/28*100=57.142%
The answer please it’s from khan academy
Answer:
Step-by-step explanation:
Before removing brackets, multiply everything inside them by two.
2*1/5 m - 2 * 2/5 + 3/5
2/5 m - 4/5 + 3/5
2/5 m - 1/5
That's as much as you can do. No further reduction is possible.
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]
First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:
[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]
Merge the denominators:
[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]
Simplify:
[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]
Merge the denominators again:
[tex]\frac{2m-4+3}{5}[/tex]
Simplify one final time:
[tex]\frac{2m-1}{5}[/tex]
Please mark brainliest if this helps you, and I can provide more information if needed.
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
Examine the linear relationships.
Linear equation A: y=45x
Linear equation B is represented by this graph.
A line that passes through points (0, 2) and (5, 4).
© 2017 StrongMind. Created using GeoGebra.
Which statement is entirely correct?
Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than
Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than
Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than
Equation B has a steeper slope, because 52 is greater than 45.
Using linear functions, it is found that the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the rate of change.The higher the slope, the steeper the function is:Linear equation A is given by:
[tex]y = \frac{4}{5}x[/tex]
Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:
[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]
Equation A has a higher slope, hence, it is steeper, and the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A similar problem is given at https://brainly.com/question/20386726
540 men can construct a bulding in 7 month. How many man should be removed from workerto finish the building in 9 month
Answer:Arms: 6 – 8 sets per week. Core: 10 – 12 sets per week. These set guidelines are a really good starting point for building muscle after 50. Remember, more is not always better
Step-by-step explanation:
how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction?
Step-by-step explanation:
63/56 = 9/8 = 1⅛.
hope this helps you.
Answer:
1 1/8.
Step-by-step explanation:
First divide 63 by 56 .
This gives 1 with a remainder of 7.
So we can write the mixed number as 1 7/56.
This simplifies to 1 1/8.
pls pls pls helpe with this:((((((
Step-by-step explanation:
9. option B
3,13
13 = 5(3) - 2
13 = 15 - 12 → 13 = 13
2315 x 584 / 591 x 841
Answer:
About 2.72 rounded
Step-by-step explanation:
PEMDAS
:))
Solve the equation-10 +1 +7x =37
Answer:
Answer in Explanation
Step-by-step explanation:
-10 + 1 + 7x = 37
-9 + 7x = 37
Add 9 on both sides to leave 7x alone
7x = 46
Divide by 7 to leave x alone
x = 46/7 or 6.57
If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:
10 + 1 + 7x = 37
11 + 7x = 37
Subtract 11 from both sides to leave 7x alone
7x = 26
Divide by 7 to leave x alone
x = 26/7 or 3.7
If x = 100, what is the value of x(x-4)?
Answer:
9,600
Step-by-step explanation:
100-4 is 96
96 times 100 is 9600
Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
Determine whether the point (2, -3) is on the graph of each equation-
1) 4x + y= 11
2) 10x - 4y = 23
Answer:
1. Solving for x. Want to solve for y instead?
1 Subtract yy from both sides.
4x=11-y
4x=11−y
2 Divide both sides by 44.
x=\frac{11-y}{4}
x=
4
11−y