Answers
Answer:
Keplers Third Law
Step-by-step explanation:
Kepler's Third Law relates the period of an orbit to the radius of an orbit, if the orbit is circular, and to the semimajor axis if the orbit is elliptical.
Let's derive it for a circular orbit, assuming a mass m is orbiting a mass M, with r being the radius of the orbit.
ΣF = ma
GmM/r2 = mv2/r
Cancelling the m's and a factor of r gives:
GM/r = v2
We can bring in the period using:
v = 2πr / T
This gives GM/r = 4π2r2/T2
Re-arranging gives:
Kepler's Third Law: T2 = (4π2/GM) r3
For an system like the solar system, M is the mass of the Sun. So the constant in the brackets is the same for every planet, and we get the relationship that the period of the orbit is proportional to r3/2.
The same with satellites orbiting the Earth - in that case M is the mass of the Earth, but again the larger the orbit the larger the period.
Related Questions
A batch of cookies calls for 3 3/4 cups of flour. Amelia is making two batches of cookies. How many cups of flour will she need?
Answers
Answer:
7 2/4 or 7 1/2
Step-by-step explanation: You can add the 3 3/4 to 3 3/4 or mutlipy 3 3/4 by 2 because you need to find the number of 2 batches.
I NEED HELP PLEASE
ITS DUE SOOM
Answers
Answer:
Tyler is correct. The temperature dropped at a rate of about 4° per hour between 4 and 6, while the temperature dropped at about 2.25° per hour between 6 and 10.
Edit: Explanation
The question is asking about which window of time had a faster decline in temperature, not a larger total change in temperature.
In a 2 hour timeframe, the temperature dropped 8°. (4-6 PM)
In a separate 4 hour timeframe, the temperature dropped 9°. (6-10 PM)
To find which window had a faster change in temp, I took the total temperature drop for each timeframe, then divided it by the number of hours each drop took.
8° / 2 = 4° per hour for 4-6 PM
9° / 4 = 2.25° per hour from 6-10 PM
Since the speed at which the temperature dropped per hour was greater from 4-6 PM than 6-10 PM, Tyler was correct.
Answer:
i agree with Mai because she/he (im not really sure) said that the temperature changed quicker in the time between 6 and 10 pm. the temperature change was 9 in those 4 hours.
Step-by-step explanation:
well there's a 4 hour difference between all 3 of the times
4 pm - 6pm
25 - 17 = 8
8 degree difference
6 pm - 10 pm
17 - 8 = 9
9 degree difference
the temperature changed quicker during 6 pm to 10 pm
Show f(x)=x^3+e^x has exactly one real root?
Answers
Solution: First note that the function f (x) = x3 + ex is differentiable on all of R, since it is the sum of two differentiable functions, a polynomial and the exponential function. Hence it is continuous. Grabbingthetwoinputvaluesx=−1andx=0,weseethatf(−1)=(−1)3+e−1 =−1+1e <0, and f (0) = (0)3 + e0 = 1 > 0. Hence by the Intermediate Value Theorem, we know that there must be a number c ∈ [−1, 0], where f (c) = 0. But this is our solution to the original equation. Hence a solution exists.
So call c our solution to the original equation and suppose there exists another one; Call this one d. Then either d > c or d < c. It really won’t matter for our discussion, so assume d > c. Then f(x) is a continuous function on [c,d] and differentiable on (c,d) (it is differentiable everywhere, actually). By Rolle’s Theorem, there then must exist a point r ∈ (c,d), where f′(r) = 0. However, we have
f′(x) = 3x2 + ex > 0
for all x ∈ R. Thus, like our example in class, there cannot be a point r ∈ (c,d), where f′(r) = 0. So our assumption that there is a second solution to the original equation is incorrect. Thus there is only one real solution to x3 + ex = 0.
Help asap
1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212........
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7
a)Natural
b)Whole
C)integer
d)rational
e)irational
f)real
Answers
Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f
Step-by-step explanation:
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)
d) Rationals: Add terminating and repeating decimals to Integers.
************
e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.
f) Real Numbers: ALL of the above (a - e) are Real numbers.
1) -5.2 has a terminating decimal so it is a RATIONAL number.
2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #
3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number
4) [tex]\sqrt4[/tex] = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.
5) [tex]\sqrt7[/tex] is a non-terminating decimal so it is an IRRATIONAL number
I need help, you will get a lot of points.
Answers
Answer:
what it is
Step-by-step explanation:
The decimal form of 5/2 is 2.5.
Which exponent is missing for the given expression ?
Answers
What is the product of 25 and –6? –150 –19 19 150
Answers
Answer:
the answer would be -150
Step-by-step explanation:
You can multiply 25 times -3 and get -75 and multiply that by 2 and get -150
Answer:
A -150
hope it helps
;)
The weight of an object on Earth is proportional to the weight of the same object on the Moon. For example, a 100-pound object on Earth would weigh about 16 pounds on the Moon. Which equation best represents the linear relationship between x, the weight of an object on Earth, and y, the weight of the same object on the Moon
A xy = 100
B x =0.16y
C y = 0. 16x
D y = 6.25x
PLEASE HELP THIS IS DUE IN 40 MINUTES!
Answers
Answer:
c, y = 0.16x (16 = 100*0.16)
Step-by-step explanation:
On a map to cities are about 50 mm apart if the scale is 1 cm equals 15.5 miles how far apart are the two cities
Answers
Given:
On a map to cities are about 50 mm apart.
Scale is 1 cm equals 15.5 miles.
To find:
The distance between two cities.
Step-by-step explanation:
We have,
1 cm = 15.5 miles
It means
10 mm = 15.5 miles [1 cm = 10 mm]
Now,
10 mm on a map = 15.5 miles
1 mm on a map = [tex]\dfrac{15.5}{10}[/tex] miles
= 1.55 miles
50 mm on a map = 50 × 1.55 miles
= 77.5
Therefore, the two cities are 77.5 miles apart.
The longest leg of a right triangle is 30 feet and another side is 20 feet. Find the perimeter of the triangle. Round to the nearest tenth
Answers
Answer: 72.4 ft
Step-by-step explanation: A2+B2=C2 20squared plus Bsquared=30 22.4 squared plus 20squared equals 30squared and when you add all that together you get 72.4 ft
Round 624.914 to the nearest hundredth.
Answers
Answer:
624.91
Step-by-step explanation:
The standard form of
(6x1)+5x1/1,000+3x1/1,000 is?
Answers
Answer:
I think is NaH x 10°-23Which of the following is the pythagorean theorem?
Answers
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse. this translates to "the sum of the squares of both legs is equal to the hypotenuse squared".
what is the answer is what =
Answers
Answer: 6
Step-by-step explanation:
14-8=6
Answer:
the answer is 6 since it says fewer we'll be using subtraction or the minus sign so 14-8=6
Help me out please N thank you
Answers
Answer:
B
Step-by-step explanation:
Since ∠ 1 ≅ ∠ 3 , then they are corresponding angles of the parallel lines c and d.
2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first
two hours and an additional P10.00 per hour for each succeeding hour. Find how
much you would pay if you will use one of their computers for: (a) 40 minutes (b) 3
hours (C) 150 minutes?
Answers
Answer:
(a) For 40 minutes the charge is P20.00
(b) For 3 hours the charge is P30.00
(c) For 150 minutes the charge is P30.00
Step-by-step explanation:
The given parameters are;
The amount the computer shop charges for the first two hours = P20.00
The amount the computer shop charges for a fraction of an hour = P20.00
The amount the computer shop charges for each extra hour = P10.00
Therefore, the amount the computer shop will charge for each time, is given as follows;
(a) For 40 minutes, we have;
The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00
(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation
The amount charged for the first two hours = P20.00
The amount charged for the next extra hour to make 3 hours = P10.00
The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00
(c) For a duration of 150 minutes, we have;
150 minutes = 2 hours 30 minutes
Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.
The amount you would pay if you will use one of their computers for:
40 minutes40 minutes is within the range of the first 2 hours. Therefore, you will pay P20.00 using their computers for 40 minutes.
3 hours3 hours can be divided into: 2 hours + 1 hour
Charges per hour for the first 2 hours = P20.00
Charges for each succeeding hour = Additional P10.00
Hence: 2 hours + 1 hour
P20.00 + P10.00
= P30.00
Therefore, you will pay P30.00 using their computers for 3 hours.
150 minutesConverting 150 minutes to hours
60 minutes = 1 hour
150 minutes = ?
150/60
= 2 .5 hours = 2 hours 30 minutes
3 hours can be divided into: 2 hours + 1 hour
Charges per hour for the first 2 hours = P20.00
Charges for each succeeding hour = Additional P10.00
Therefore, you will pay
2 hours + 30 minutes
P20.00 + P10.00
= P30.00
Therefore, you will pay P30.00 using their computers for 150 minutes.
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2(y+2)-y=3(y-1)+9 I am solving for y
Answers
Answer:
y = -1
Step-by-step explanation:
Step 1: Write equation
2(y + 2) - y = 3(y - 1) + 9
Step 2: Solve for y
Distribute: 2y + 4 - y = 3y - 3 + 9Combine like terms: y + 4 = 3y + 6Subtract y on both sides: 4 = 2y + 6Subtract 6 on both sides: -2 = 2yDivide both sides by 2: -1 = yRewrite: y = -1Step 3: Check
Plug in y to verify it's a solution.
2(-1 + 2) - (-1) = 3(-1 - 1) + 9
2(1) + 1 = 3(-2) + 9
2 + 1 = -6 + 9
3 = 3
For what value of x is line a parallel to line m in the figure? Only type the number.
Answers
To integers To integers between eight is six and seven
To integers between eight is six and sevenseeeeerrttgghu between To integers between eight is six and seven
To integers between eight is six and seven eight is six and seven
Simplify 28/72 please real quick I need help
Answers
Answer:
7/18
Step-by-step explanation:
[tex]\frac{28}{72} /\frac{4}{4} =\frac{7}{18}[/tex]
7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).
5. Please convert the equation y-5=7(X-6) into slope
intercept form by completing the table below:
What?
y-5=7(x-6)
Why?
Begin at the Beginning!
Distributive Property
Opposite Operation to
Isolate y
Final Answer
Answers
Answer:
Solving the Equation would be: y= 7x-37, Finding the Function would be x= 37 over 7
Step-by-step explanation:
Function:
y-5=7(x-6)
0-5=7(x-6)
0-5=7x-42
-5=7x=42
-7x-5=-42
-7x=-42+5
-7x=-37
x=37 over 7
_________________________________
Solving the Equation:
y-5=7(x-6)
y-5=7x-42
y=7x-42+5
y=7x-37
y=7x-37, x ER
Tell whether the two ratios are proportional or not proportional 3/7=6/9
Answers
3/7 = .4285714
6/9 = .66666
fire^#^#&÷^4&4<×^#^÷
Answers
Answer:
Can you construct the question better.Maybe then I would be able to answer it.
Mrs. Martz is travelling to 300 miles to Florida
for a vacation. She has already travelled 60% of
the trip. How many miles has she gone?
Answers
Answer:
180 miles
Step-by-step explanation:
Jack, Jenny, and Tony have 18 flowers total. Jack has 5 flowers, and Jenny has 10 flowers. How many flowers does Tony have?
Answers
Answer:
3
Step-by-step explanation:
becuase if jack has 5 flowers and jenny has 10 then 5+10=15 15 to get o 18 is 3 more so 15+3= 18
Answer:
3
Step-by-step explanation:
because there is 18 flowers
Jack has five
Jenny has 10
5+10=15
so u have to add 3 more to be 18
5+10+3=18
Choose the graph that matches the inequality y <-2x+4.
Answers
The graph for the Inequality y <-2x+4 is attached below.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, Olivia is selected in the 12U Softball. How old is Olivia? You don't know the age of Olivia, because it doesn't say "equals". But you do know her age should be less than or equal to 12, so it can be written as Olivia's Age ≤ 12. This is a practical scenario related to inequalities.
Given:
y <-2x+4.
The Inequality shows the shaded region in the Graph.
So, the intercept for the inequality is 4 and slope is of 2 units.
Hence, the graph for the Inequality y <-2x+4. is attached below.
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What is the amount by which a selling price exceeds the purchasing price of a
share of stock called?
O A. Capital loss
B. Annuity
C. Capital gain
Answers
Answer: I THINK capital gain
Step-by-step explanation:
The amount by which a selling price exceeds the purchasing price of a
share of stock called Capital gain.
What is considered capital gain?Capital gain is characterized by the difference between the purchase price and the sale price of an asset or right. That is, when outside the exemption limit, the valuation of the asset sold is taxed, and it is necessary to direct a part of this profit to the Federal Revenue Service.
Knowing that capital gain is the profit one earns on the sale of an asset like stocks, bonds or real estate. It results in capital gain when the selling price of an asset exceeds its purchase price.
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Graph f(x) = 4[x] + 5
Answers
Step-by-step explanation:
slope is 4, y-intercept is (0,5)
The graph of function f(x) = 4[x] + 5 described below
The given function is
f(x) = 4[x] + 5
Here [ ] represents greatest integer function
We know that
The greatest integer function is one that returns an integer that is closer to the provided actual value.
It is also known as the step function.
The biggest integer function returns the nearest integer to the provided number.
As a result, the formula for finding the biggest integer is rather straightforward.
It is denoted by the symbol [x], where x can be any value.
Now plotting the graph of function.
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Here are some letters and what they represent. All costs are in dollars. M represents the cost of a main dish n represents the number of side dishes s represents the cost of a side dish t represents the total cost of a meal What does ns = 6 mean in this situation?
Answers
Answer:
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
Step-by-step explanation:
M represents the cost of a main dish.
n represents the number of side dishes.
s represents the cost of a side dish.
t represents the total cost of a meal
Total cost of side dishes = Cost of a side dish × Number of side dishes = ns
Therefore,
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
Choose the correct description of the graph of the compound inequality : x - 1 < 12 or 2x > 30.
A. A number line with an open circle on 13, shading to the left, and an open dircle on 15, shading to the right
B. A number line with a closed circle on 13, shading to the left, and a closed circle on 15, shading to the right
C. A number line with an open circle on 13, an open circle on 15, and shading in between
D. A number line with a closed circle on 13, a closed circle on 15, and shading in betwee
Answers
Imma have to say answer D
Which shows the best use of the associative and commutative properties to
make simplifying 3/4– 5+ 9 - 2/4 + 2 easier?
O A. (+()] + [9+2+(-5)]
O B. (+9+(-5)] + [2+(-3)]
O c. (+(-5)] + [9+(-x) + 2]
O D. (2++(-5)] + [(-k) +9]
Answers
Answer:
c
Step-by-step explanation:
The best use of the associative and commutative properties to
make simplifying 3/4– 5+ 9 - 2/4 + 2 easier is option C (+(-5)] + [9+(-x) + 2].
What is commutative property of addition?The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.
For two numbers x and y, we have:
x + y = y + x
Suppose you've got 3 numbers as a, b, and c.
Then, we have
(a+b) + c = a + (b + c)
This property is called associative property.
Given;
3/4– 5+ 9 - 2/4 + 2
We can simpliyfying it by using the properties of addition ;
3/4– 5+ 9 - 2/4 + 2
(-5) + 9 + 2 + 3/4 + (-2/4)
Hence, the best use of the associative and commutative properties to
make simplifying 3/4– 5+ 9 - 2/4 + 2 easier is option C (+(-5)] + [9+(-x) + 2].
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