The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
What is the mathematical expression of Kepler's law ?
[tex]T^2 = 4\pi ^2a^3/GM[/tex]
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
[tex]T^2 = a^3[/tex]
[tex]T = \sqrt(a^3)[/tex]
[tex]T = \sqrt(30^3)[/tex]
[tex]T = 164.3[/tex]
Therefore, the Neptune's time period of orbit is 164.3 earth years.
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Answer:
b. 164 earth years
Step-by-step explanation:
just took the quiz 2022
Find value of a and b.
Answer:
a = 65
b = 65
Step-by-step explanation:
a = 65 becasue of corresponding angles.
a and b are opposite angles of a parallelogram.
b = a = 65
Answer:
a=65° b=65°
Step-by-step explanation:
from the diagram,
b=65° (alternative angles are equal)
a=65° (corresponding angles are equal)
Surface area
5.5 m
1.2 m
1.6 m
|x+1|+|x-2|=3
can someone give an easy explanation plssss
Answer:
The numbers inside |x| is always positive
Step-by-step explanation:
|x+1| ---> x+1
|x-2| ---> x+2
= 3
how many degrees is 17/9 of a semicircle
Answer:
340°
Step-by-step explanation:
To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or
2[tex]\pi[/tex] radians.
[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]
Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]
[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]
Cancel the common factor "[tex]\pi[/tex]"
Rewrite the expression as:
[tex]\frac{17}{9}[/tex] x 180
Factor 9 out of 180.
[tex]\frac{17}{9}[/tex] x(9(20))
Cancel out the common factor "9"
Rewrite the expression as:
17 x 20
=340°
The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21Step-by-step explanation:
Answer:
3+18
Step-by-step explanation:
3x6 is 18, so 18 is 6 times the first number. If you add 3 and 18, its equal to 21.
on a linear graph, the rate of change is called the ____ of a line
Answer:
On a linear graph, the rate of change is called the slope of a line
Step-by-step explanation:
Hope this helps
The complete statement is, on a linear graph, the rate of change is called the slope of a line.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the above concepts we now know that, on a linear graph, the rate of change is called the slope of a line.
It can also be defined as, (y₂ - y₁)/(x₂ - x₁).
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1. What is the of the combined rectangles below?
Answer:
please where's the diagram
PLEASE HELP ANSWER
I will give 20 points
Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!
Answer:
x ≤ 15 - weekly
x ≤ 3 - daily
Step-by-step explanation: sorry, not much info to answer this :(
Write a second equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,2) so that the system has no solutions.
Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).
Answer:
See below ↓
Step-by-step explanation:
Our equation :
y = 3/2x - 3(A) Infinitely Many Solutions
y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions(B) No solution
y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution(C) One solution at (4, 3)
x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solutionUh can someone tell me the answer to this im kinda stuck.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{40}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{8}{9} [/tex]
Hence, the correct choice is D
Answer:
D) 8/9
Step-by-step explanation:
There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...
"invert and multiply", or "dot swap", andnumerators of the same denominator.__
SignsThe sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)
__
Invert and MultiplyAs with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]
[tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]
The result can be reduced by cancelling common factors in this process.
[tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]
__
Numerators of the Same DenominatorFor this method, both the dividend and the divisor need to be expressed over the same denominator.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]
We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.
[tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]
Which inequality has the graph shown below?
A model robot uses the scale 1 inch : 2 feet. If the model robot was 5 inches tall, the real robot would be __ feet tall
Answer: 10 feet
The ratios:
1 inch : 2 feet
5 inch : x feet
Finding x:
1 * 5 = 5
2 * 5 = 10
The real robot would be 10 feet tall.
Answer:
10 inches
Step-by-step explanation:
because 1 in= 2 ft
we can multiply 5 by 2 which is 10
your answer is 10 ft tall.
Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0
The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0
What is a quadratic equation?It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.
In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0
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Answer:
The answer is C. 4x2 + 16x - 4.25 = 0.
Step-by-step explanation:
Find the exact area of the shaded region.
Answer:
33
Step-by-step explanation:
area of large triangle = 117
117-(30)-(12*5/2)-(8*6/2)
= 33
The exact area of the shaded region is 33 units²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given is a figure, we need to find the area of the shaded region.
For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,
The area of the big triangle = 1/2 x 18 x 13 = 117 units²
The area of the two small triangles =
1/2 x 6 x 8 = 24 units²
and
1/2 x 12 x 5 = 30 units²
Now, the area of the square = 5 x 6 = 30 units²
The area of the shaded region = 117-(24+30+30) = 33 units²
Hence, the exact area of the shaded region is 33 units²
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Choose all numbers that are greater than 12%
CHECK
1/8
1/12
23/200
7/50
15%
0.025
Answer:
1/8, 7/50, 15%,
Step-by-step explanation:
I asked siri
A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation:
Please help with algebra
Answer:
54%
Step-by-step explanation:
Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
After 3 years, Dakota will have $674.09 total.
the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192
Answer:
c
Step-by-step explanation:
The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?
Answer:
P(4,4) / P(5/5) = 1/5
Step-by-step explanation:
Total possibility:
All the 5 books can be arranged in a rack with P(5,5)=5! ways
Favorable Possibility:
Math book is kept in a first place, it mean that it is fixed
So remaining 4 books and that can be arranged in P(4,4)=4! ways
Hence,
Probability= number of favorable cases / total number of possibilities
Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5
The list of all ordered pairs in the given relation R on the set T is (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).
Answer:
1,1. 4,4. 5,5 and. 6,6
Step-by-step explanation:
Because they are all the same numbers :)
PLEASE HELP I NEED HELP
Answer:
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept:
(
0
,
0
)
x
y
0
0
1
1
20 Points, Part A What percentage of the time margins are at least 0.6 second? Part B What is the most common margin of victory? (Screenshot)
Answer:
20%
0.5
Step-by-step explanation:
There are 20 margins, so you have to count how many are 6.0 or higher. There are 4 margins that fit this so you divide the 4 margins by 20, then multiply the quotient by 100. That's how you get 20%.
The most common time was 0.5.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution :
[tex]\qquad \sf \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]
[tex]\qquad \sf \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]
2. How many lines of symmetry does this shape have?
Answer:
it has three lines of symmetry
Step-by-step explanation:
Answer:
one line of symmetry
Step-by-step explanation:
What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson?
1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
What does Thomas Edison's reference mean?
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
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What inequality is graphed on the number line below?
Answer:
C) b ≤ 3Step-by-step explanation:
The endpoint of the graph is the midpoint between 2 and 4, so it is 3.
This point is included since indicated as full circle.
The graph includes the line to the left of 3:
b ≤ 3 is the correct oneansweeeer plssssss..
ok well- what time do you need it to be answered by?
Please help with this and how to solve it.
Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28
