We want to find the moon's gravitational acceleration.
With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2
We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:
p(t) = (-g/2)*t^2 + H
In this case, we know that a feather falls 81.25cm in one second.
First, we can define H = 0 (because we can put the zero of the position where we want to)
Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:
p(1s) = -0.8125 m = (-g/2)*(1s)^2
Where the negative sign comes because the feather "falls" and we define the negative position as below.
Also notice that we did a change of units from centimeters to meters, by knowing that:
100cm = 1m
then:
81.25cm = 0.8125m
Now we just need to solve:
-0.8125 m = (-g/2)*(1s)^2
0.8125 m = (g/2)*(1s)^2
2*0.8125 m = (g)*1s^2
1.625 m = g*1s^2
(1.625 m)/(1 s^2) = g
We then can conclude that the moon's gravitational acceleration is:
g = 1.625 m/s^2
If you want to learn more,, you can read:
https://brainly.com/question/3009841
Answer for number 1?
Answer:
you need to draw a triangle on the grid
Step-by-step explanation:
find point -3 then 7
then find points -2 and 1
then -5 and 2
then join the points together
hope that helps
pls mark brainliest
2. On the graph below you will find two different triangles, and three points identified along the line.
(a) Identify the coordinates of Point A, B, & C? Explain.
(b) Does each triangle have the same change in x-values? Explain.
(c) Does each triangle have the same change in y-values? Explain.
(d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain.
#a
Co-ordinates are
A(0,0)B(3,3)C(9,6)#b
No,Both triangles are congruent not same.
#c
No! Both triangles are not same#d
Yes ratio is same as they are congruent
Answer:
Question A:
A.) (0,0)
B.) (3,3)
C.) (9,6)
Question B:
No, both triangles are congruent, not the same change in x-values.
Question C:
No, both triangles do not have are not the same change in y-values.
Question D:
Yes, their ratios of change are the same.
solve the equation: -2(n+3)=13
Answer:
n is -9.5 ....hyuibgtyujhff
Someone plz help URGENTLY will mark brainliest plz no links or will be reported
Step-by-step explanation:
Given the function, f(x) = -3x + 4, you basically need to choose any input (x-value) and substitute those values into the function.
f(0) = -3x + 4, where the input is x = 0.f(0) = -3(0) + 4
f(0) = 0 + 4
f(0) = 4 [this is the value of your final column, in the f(x)].
2. f( 1 ) = -3( 1 ) + 4, where the input is x = 1.
f( 1 ) = -3( 1 ) + 4
f( 1 ) = -3 + 4
f( 1 ) = 1 [this is the value of your final column, in the f(x)].
3. f(2) = -3(2) + 4, where the input is x = 2.
f(2) = -6 + 4
f(2) = -2 [this is the value of your final column, in the f(x)].
All you need to do is plot the following points on your graph:
{(0, 4), (1, 1), (2, -2)}
Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?
Answer:
16 times
Step-by-step explanation:
Membership cost:
C = 135 + 2x
Non-members:
C = 11x
____
135 + 2x = 11x
135 = 9x
x = 15
The cost would be the same after renting 15 times, so after 16 times the cost would be cheaper for a member.
Barty is going to flip a coin three times. What is the probability that he will see at least
two tails? Can you use a Probability Area Model for this situation?
Answer:
1/2
Step-by-step explanation:
For three coin tosses, the posible outcomes are:
[(HHH), (HHT), ( THH), (HTH), ( THT), (TTH), (HTT), (TTT)
The outcomes where there are at least 2 tails are:
(TTT), (TTH), (THT), (HTT)
So, the probability that the coin will land tails at least 2 times is 4/8 or 1/2
Classify the following triangle. Check all that apply
Answer:
A. Acute and B. Equilateral
Step-by-step explanation:
Helppppp plzzzzzzzzzzz
I need help! Please tell me which one is true and which one is not!
Answer:
yes yes no yes
Step-by-step explanation:
drake is making capes he used 1/3 yard of fabric for each cape he makes what is the total amount of fabric drake needs to make 96 capes FOR 100
WILL NAME brainliest
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
By the definition of an angle bisector, we have that [tex]8x-23=5x+16[/tex].
We can add [tex]23[/tex] to both sides to get [tex]8x=5x+39[/tex].
We can then subtract [tex]5x[/tex] from both sides to get [tex]3x=39[/tex].
We can finally divide both sides by [tex]3[/tex] to get [tex]\boxed{x=13}[/tex]
Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10
What fraction of the money does Bryony get?
4 + 11 + 10 = 25.
Assuming Bryony is the middle number, she gets 11/25 fraction of the money.
A college college track coach compares the ratio of time it takes a runner to run
100 meters to 12 seconds. For a runner to be on the team, the ratio must be less
than or equal to 0.95. What is the slowest time 100 meters can be run to make
the team
PLEASE HELP THIS IS FOR A TEST I AM TAKING RN AND MY TEACHER DOESN'T TEACH US AT ALL!!!
You are a graphic artist. You are given an image that is 1.2 inches tall and 2.1 inches wide. Your customer wants the image enlarged to create a banner 7 feet wide. Calculate how tall your banner should be to create a proportional image. Remember to include correct units in your answer!
Height / Width = 1.2in / 2.1in
Height / Width x / 84in (7feet)
Solve for X using cross multiplation
2.1x = 1.2 * 84
2.1x = 100.8
x (height) = 48 inches or 4 feet.
what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)
Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
plsss help urgent !
Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?
what is (4x+1)(2x-1)
Algebra 2 Piece-wise functions!!
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.
Mason is running a lemonade stand. He sells each cup of lemonade for $2.50,and he spent $15 on the
supplies to set up his stand, Write an equation to represent the amount of money mason has after he has sold x cups of lemonade.
Step-by-step explanation:
He is making $2.50x (x = amount of drinks sold)
Than we subtract the amount of money he lost - $15
$2.50x - $15
Hope this helps.
only 23 please. And you can get 50 points
Step-by-step explanation:
Having built a graph, we can immediately understand that this is a linear functiony=kx+bHaving built a graph, we can immediately understand that this is a linear functiony=kx+bIn order to determine which rule the function follows, it is only enough for us to know the coordinates of only two points, let them be points (-3 ; 8 ) and (-2 ; 3 ) Substitute the values of x and y into an unknown function y=kx+b [tex]\displaystyle \large \boldsymbol {} \left \{ {{-3k+b=8} \atop {-2k+b=3 }} \right.=> -k=5=>k=-5 \ \ ; \ \ b=3+2k=-7[/tex]Then we get the function :
[tex]\large \boldsymbol {} \displaystyle y=-5x-7[/tex] The graph in attached file
[tex]\large \boldsymbol{}[/tex]
1 pint=how many cups
Answer:
2
Step-by-step explanation:
.
can someone give me a full explanation on how to do this? thank you have a great day !
Answer:
Exact area = 1800 - 450pi square cm
Approximate area = 387 square cm
I used 3.14 for pi to get the approximate value.
============================================================
Explanation:
Check out the diagram below.
As the diagram shows, the largest radius possible is half of the shortest dimension of this rectangle. So the radius of each identical circle is 30/2 = 15 cm. The radius cannot exceed this value, or else the circle will spill outside the rectangle.
The area of one circle would be
A = pi*r^2
A = pi*15^2
A = pi*225
A = 225pi
Two identical circles like this combine to a total area of 2A = 2*225pi = 450pi square cm.
The area of the brown shaded region in the figure, aka the amount of cardboard leftover, is exactly 1800 - 450pi. The 1800 is from the computation of 60*30 = 1800, which is the area of the original rectangle before we made any cuts.
If we wanted to find the approximate area, then we could use pi = 3.14 to get
1800 - 450pi = 1800 - 450*3.14 = 387
The approximate area remaining is 387 square cm. This value is approximate because pi = 3.14 is approximate. If you were to use more decimal digits of pi, then you'd get some other approximate area.
Please help me with this
answer
is 13.21 because i did the promble on the calculatoor
could someone name some games that are unblocked that I can play on a school computer?
lol 50 pts to answer
Answer:
Agar.io
Buildroyale.io
Gats.io
Krunker.io
Narwhale.io
1v1.lol
1v1.fail
Or look up your favorite computer games but put (Gooogle Sites) at the end
Step-by-step explanation:
–112.84 – 54.14 – (–29.18)
Answer:
-137.8
Step-by-step explanation:
help please and thank youu
Answer:
5
Step-by-step explanation:
f(x) just means y
find the spot on the line that hits y at 7.
then look directly down to the x line to see that the intersection is (5,7)
3. Which ordered pair is a solution of the equation y = x - 4? (1 point)
O (2,6)
O (6,2)
O(-2, 6)
O(-6, 2)
Answer:
Question 3: (6,2)
Question 4: (-1,-4)
Step-by-step explanation:
Look above to see each graphed⤴⤴⤴
Hope this helped :)
What is the equation of a line through point (-12,20) that is perpendicular to the line
with equation y=-6x + 4?
Find the slope of the perpendicular line
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of one of the lines = - 6
then the slope of the perpendicular line (m) = ¹/₆
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 20 = ¹/₆ (x - (-12))
∴ y - 20 = ¹/₆ (x + 12)
We can also write the equation in the slope-intercept form (y=mx+c) like the equation in the question by making y the subject of the equation and expanding the bracket to simplify:
since y - 20 = ¹/₆ (x + 12)
y - 20 = ¹/₆x + 2
y = ¹/₆x + 22
∴ the slope-intercept equation of the perpendicular line is y = ¹/₆ x + 22.
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
how much 14 do u need to make 100
Answer:
You cant
Step-by-step explanation:
To make 100, you cant have a solid number of 14's to make 100. The closest to 100 is 14 * 7.