r = \frac{GM}{v^{2} } formulas have been correctly rearranged to solve for radius.
What is circular motion ?
An object moving in a circular motion is defined as rotating while doing so. There are two types of circular motion: uniform and non-uniform. While the angular rate of rotation and speed are constant during uniform circular motion, they are not during non-uniform motion.The problem is asking to find the radius of the orbit of a satellite around a planet, given the orbital speed of the satellite.
For a satellite in orbit around a planet, the gravitational force provides the required centripetal force to keep it in circular motion, therefore we can write:
[tex]\frac{GMm}{r^{2} } = m\frac{v^{2} }{r}[/tex]
where
G is the gravitational constant
M is the mass of the planet
m is the mass of the satellite
r is the radius of the orbit
v is the speed of the satellite
Re-arranging the equation, we find
[tex]\frac{GM}{r} = v^{2}[/tex]
[tex]r = \frac{GM}{v^{2} }[/tex]
Learn more about circular motion
brainly.com/question/2285236
#SPJ4
Answer: a and d
Step-by-step explanation: edge 2022
24) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 13 vans and 2 buses with 230 students. High School B rented and filled 11 vans and 8 buses with 346 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
The van can carry 13 students and the bus can carry 53 students.
A van can carry = 13
A bus can carry = 53
The equations will be derived from the conditions given in the question:
Let x be the no. of students in van
Let y be the no. of students in bus
13x + 9y = 646……………(1)
6x + 3y = 237………………(2)
Multiplying (2) with 3
13x + 9y = 646……………(3)
18x + 9y = 711 …………...(4)
Subtracting equation (3) from (4)
18x + 9y = 711
- (13x + 9y = 646)
We get:
5y = 65
y = 13
Now, plug the value of y into one of the preceding equations:
13x + 9(13) = 646
Solving this we get
x = 53
Hence, The van can carry 13 students and the bus can carry 53 students
learn more about linear equations here:
https://brainly.com/question/2030026
#SPJ9
Max worked 13 hours last week at the grocery store and earned 94.25. If he only worked 5 hours this week, how much money did he earn?
Answer:
36.25
Step-by-step explanation:
You need to find out how much he makes an hour. To do that you divide how much he made by 13 hours. Which was 7.25. Than multiply 7.25 by 5. And you get your answer which is 36.25.
The same goes for any money scenario when you are trying to find out like how much an individual 'peach' is in the whole bag. Or take it for what you will it was an example.
Write the equation of a circle for which the endpoints of a diameter are (-0,0) and (4,-6)
The above statement describes the equation of a circle whose endpoints of a diameter are (-0,0) and (4,-6):
(x + 2)² + (y + 3)² = 3.6
How do we calculate the formula of a circle?The simple form equation of a circle is: (x – x1)² + (y – y1)²= r², where (x, y) are arbitrary coordinates upon that circumference of the circle, r seems to be the radius of the circle. and (x1, y1) are indeed the coordinates of the circle's center.
According to the given data:Given points are:
(-0,0) and (4,-6)
Find that diameter's length using the locations of the locations as well as the distance formula.
d = √((x₂ - x₁)² + (y₂ - y₁)²)
= √((4 - (-0))² + (-6 - 0)²)
= √((4 )² + (-6 )²)
= √(16 + 36)
= √(52)
= 7.2
Radius will be r/2
7.2/2
= 3.6
To obtain the coordinates of the center, use the interest in obtaining and the midpoint formula.
[tex]C=\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]
C = (-0 + 4)/2 , (-6 + 0)/2
C = -2 , -3
To write this circle equation, use the radius and the center coordinates.
(x - h)² + (y - h)² = r²
(x - (-2))² + (y - (-3))² = 3.6
(x + 2)² + (y + 3)² = 3.6
To learn more about equation of a circle visit:
https://brainly.com/question/23799314
#SPJ4
Solve equation.
k+3=14
To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
Learn more about solving an equation here:
https://brainly.com/question/25678139
#SPJ4
can somebody help me
The Initial amount is 14.76 and the decay factor is 1.4 while the percentage rate of change is 40%.
How to express exponential Functions?We are given the function as;
y = 1.4^(t + 8)
Now, the general formula for an exponential decay function is;
f(x) = abˣ
where;
a = initial amount
b = decay factor
x = number of time intervals
Now, using laws of exponents, our initial function can be written as;
y = 1.4⁸ × 1.4^(t)
Now, 1.4⁸ = 14.76
Thus, we now have the expression as;
y = 14.76(1.4^(t))
Comparing with the general equation of exponential decay gives us;
14.76 = initial amount
1.4 = decay factor
t = number of time intervals
If decay factor is 1.4, then this denotes 140% which means that the percentage rate of change is 40%
Read more about Exponential Functions at; https://brainly.com/question/2456547
#SPJ1
which paired number is a solution to the equation y=-9x+4
(10,-86)
(-4,-58)
(6,-41)
(-6,57)
Answer:
(10,-86)
Step-by-step explanation:
Plug in the x values to see if they equal to the y value.
-9(10)+4 = -86.
x = 10
y = -86
A car traveled 200 miles in 4 hours.What was the car´s average rate of speed in miles per hour
Answer:
50 miles per hour
Step-by-step explanation:
You want to put the total amount over the hours.
at an inter-species dance party, each cat danced with exactly three dogs and each dog danced with exactly two cats. no one danced with anyone of their own species, and twelve cats attended the party. how many dogs attended the party? (a) 8 (b) 12 (c) 16 (d) 18 (e) 24
The correct option is (d) 18.
The number if dogs attended the inter-species dance party is 18.
What is combination?A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the order of a selection is irrelevant. You can choose the items in just about any order in combinations.
Permutations and combinations are often confused. In permutations, however, the sequence of the selected items is critical. For instance, the arrangements ab as well as ba are equal in combinations (regarded like one arrangement), but different in permutations.Combinations are analyzed in combinatorics, but they are also used in other fields such as mathematics and finance.Now, as per the given question.
If every cat danced with a 3 dogs, the total would be;
3 x 12 = 36 cat and dogs pairs.
Even so, every dogs just danced with 2 cat, implying that there had to be a mix-up. Then,
Number of dogs = 36/2 = 18
Therefore, the total number of dogs present in the inter-species dance party are 18.
To know more about the combinations, here
https://brainly.com/question/295961
#SPJ4
işlemleriyle çözer misiniz?
In a 36% sale, the price of a phone reduced by $135.
Find the original price of the phone.
Answer:
$210.94
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
Answer:
The original price was $375.
Step-by-step explanation:
The original price of the phone is x.
36% of x is $135.
0.36x = 135
x = 135/0.36
x = 375
Answer: The original price was $375.
=
REAL NUMBERS
Simplifying a ratio of whole numbers: Problem type 1
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
35 to 30
The simplest form of the ratio 35:30 is 7/6.
Given, the ratio is 35:30
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio.
We can refer to a fraction as being in its simplest form when it cannot be further spelled out or reduced. Divide the denominator and numerator by their respective least common multiples to reduce a fraction.
divide the numbers by 5
35/30
= 7/6
therefore the simplest fraction is 7/6.
Learn more about Ratio and proportion here:
brainly.com/question/19994681
#SPJ9
3 to the power of -2 is equivalent to _____.
i need help ASAP (i will give brainliest)
Answer:
1/9
Step-by-step explanation:
3^-2 = 1/3^2
which is 1/9
Step-by-step explanation:
Evaluating 3^-2
3^-2
= 1/3²
= 1/ 3 × 3
= 1/9
Or
if you're talking about 3^-2 in decimal then...
3^-2 = 0.111111111 (in decimal)
Hope this helps
Ace that testGood luck ✅Find the midpoint of line segment AB, given:
A(-7, 4) and B((3,-4)
Answer:
I believe the answer is not solvable I don’t know I might be wrong
Step-by-step explanation:
The square of T varies directly with the cube of a and inversely with the square of d; T = 2 when a = 2 and d = 4
The general formula that describes the variation is T² = 18a³/d²
Direct variation: When a variable x changes directly with another variable y, it is written in this form;x ∝ y.
This can then be written as;
x = ky
Where;
k = constant rate of change.
Inverse: When one variable x changes in the opposite direction to another variable y, it is written in this form; x ∝ 1 / y This can then be written as; x = k (1/y) Where; k = constant rate or variationCombined variation: When a variable x varies directly with variable y and inversely with variable z, we write it in this form;x ∝ (y/z)
This can then be written as;
x = k (y/z)
Where;
k = constant rate or variation
The square of T varies directly with the cube of a and inversely with the square of d.
Note that
square of T = T²
cube of a = a³
square of d = d²
Therefore, we can write;
T² ∝ a³/d²
T² = k (a³/d²)
Since;
T = 4 when a = 2 and d = 3
We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;
(4)² = k (2³/3²)
16 = k (8/9)
8k = 16 x 9
8k = 144
k = 144/8
k = 18
Therefore, The overall formula for describing the variation is
T² = 18 a³/d²
Learn more about inverse here
https://brainly.com/question/24095567
#SPJ9
find the length of the side labled x
now, the picture looks a bit misleading, the angle on the bottom-right corner doesn't look at all like a 20° angle, so let me assume the 20° angle is the angle up above, like you see in the picture below, because that looks like a 20° one, and the number there, is not very clear which one is pointing to.
[tex]\cos(64^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{18}}\implies 18\cos(64^o)=h \\\\[-0.35em] ~\dotfill\\\\ \cos(20^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{x}}\implies x=\cfrac{h}{\cos(20^o )}\implies x=\cfrac{18\cos(64^o)}{\cos(20^o )}\implies x\approx 8.4[/tex]
Make sure your calculator is in Degree mode.
does someone mind helping me with this? Thank you!
Answer:
196m²
Step-by-step explanation:
area is w multiplied by h so 14x14
Answer:
196 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a rectangle is length times width. A square is a type of rectangle that has four equal sides, so if we know one side we know all four.
A = l x w
A = 14m x 14m
A = 196[tex]m^{2}[/tex]
Eli and Ana have the same number of dumplings for dinner. There are d dumplings in each container. Which equation represents the situation?
The equation that represents the equal distribution of ' d ' dumplings among Eli and Ana is -
x = nd/2.
What is unitary method?
Unitary method is used to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Given is a situation in which Eli and Ana are having dinner. They both have same number of dumplings to eat and each dumpling container contains 'd' dumplings.
Let's assume that there are 'n' containers of dumplings and both Eli and Ana got 'x' number of dumplings. Now -
In 1 container we have - 'd' dumplings
In 'n' containers, we will have - n × d dumplings.
Both Ana and Eli got same number of dumplings = x.
Therefore -
x + x = n × d
2x = nd
x = nd/2
Therefore, the equation that represents the situation is -
x = nd/2
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/7693149
#SPJ1
Find the sum. 69,348 + 76,290
Answer:
The answer you will be looking for is 145638!
If you need help how to i will explain!
Mr. Johns is using a high-clearance sprayer with two 30-foot booms. It will spray a 60-foot-wide strip. He sprayed a
960-foot-wide wheat field for weeds.
a. How many feet from the edge should he start?
b. How many round trips are needed to cover the field?
a) He will start 900 feet from the edge
b) 16 Round trips are needed to cover the field.
Because Mr. Johns intends to check a wheat field 960 feet wide for weeds so he will distribute a 60-foot wide strip using a high clearance sprayer that has two 30-foot booms.
a) 960 foot - 60 foot = 900 foot
Therefore, he should start 900 feet from the edge.
b) 960 foot / 60 foot = 16 Trips.
Therefore, 16 round trips are needed to cover the field.
To know more about Application calculation, refer to this link :
https://brainly.com/question/19865385?referrer=searchResults
#SPJ4
candace works at a chocolate factory that makes 2,850 chocolates in 30 minutes. what is the constant of proportionality that relates the number of chocolates, y, to the minutes, x?
Find m∠ABC and m∠CBD
5. m∠ABC = 64°
m∠CBD = 26°
6. Using the linear pair postulate,
m∠ABC = 97°
m∠CBD = 83°
7. Using the linear pair postulate,
m∠ABC = 112.5°
m∠CBD = 67.5°
How to Apply the Linear Angles Postulate?Two angles on a straight line form a linear pair which have a sum of 180 degrees based on the linear pair postulate.
5. (11x - 2) + (5x - 4) = 90 [complementary angles]
11x - 2 + 5x - 4 = 90
16x - 6 = 90
16x = 90 + 6
16x = 96
x = 6
m∠ABC = 11x - 2 = 11(6) - 2 = 64°
m∠CBD = 5x - 4 = 5(6) - 4 = 26°
6. 8x + 9 + 6x + 17 = 180 [linear pair postulate]
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 11
m∠ABC = 8x + 9 = 8(11) + 9 = 97°
m∠CBD = 6x + 17 = 6(11) + 17 = 83°
7. 14x - 6.5 + 7x + 8 = 180 [linear pair postulate]
21x + 1.5 = 180
21x = 180 - 1.5
21x = 178.5
x = 8.5
m∠ABC = 14x - 6.5 = 14(8.5) - 6.5 = 112.5°
m∠CBD = 7x + 8 = 7(8.5) + 8 = 67.5°
Learn more about the linear pair postulate on:
https://brainly.com/question/13890989
#SPJ1
What expressions are equivalent to 4d+6+2d4d+6+2d4, d, plus, 6, plus, 2, d ?
Pls pls help whoever gets it right gets a crown
Answer:
8/45m² + 2/35m
Step-by-step explanation:
...........................
A teacher has $230 in a bank account to spend on school supplies and wins an additional $50 to put toward the school supplies. The teacher spends $120 on binders for students and wants to buy the classroom a new $180 tablet.
Answer:
-20
Step-by-step explanation:
(6d+5)−(2−3d) = what is the answer
[tex]{ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} [/tex]
Step-by-step explanation:
[tex]{ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}[/tex]
[tex]{ \blue{ \tt{6d + 5 - 2 + 3d}}}[/tex]
[tex] = { \blue{ \tt{9d + 3}}}[/tex]
A salesclerk is creating a display of 16 polo shirts and 80 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length?
4
5
8
16
There may be a maximum of 16 shirts in each row to ensure that all the rows have the same length. Option D
What is the maximum number of shirts in each row so that all the rows are equal in length?The same elements at play
There are a total of sixteen polo shirts on exhibit.
80 jerseys from various teams are now on exhibit.
Each row is limited to just one kind of polo shirt.
The following are the factors that make up 80:
1, 2, 4, 5, 8, 10, 16, 20, and 80
The factors of 16 are as follows: 1, 2, 4, 8, 16.
The number 16 is the most frequent factor between the numbers 80 and 16.
Therefore, the greatest number of shirts that may be placed in each row such that the length of all of the rows is the same is 16.
Find out more about the following common factors:
brainly.com/question/219464
#SPJ1
A TV show had 3.6 x 10^4 viewers in the first week and 4.1 x 10^4 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
really need help pls pls
12. A colony of rabbits in the wild found that the colony doubles in population
every year. At first there were 10 rabbits. After how many years will there
be more than 160 rabbits?
Answer:
5
Step-by-step explanation:
In the question it states that in each year the number of rabbits increase by (2) of which is represented by the word (doubled) and so this will solve this question horizontally
note that (Y) represents year
First Year =10 rabbits
Second Year=20
Third Year =40
Fourth Year =80
Fifth Year =160
If the area of square 2 is 225units^2 and the perimeter of square 1bis 100. What is the area of square 3
solve and show your work.
3(2x+3) -4x = -3