Answer:
3 kg= 14.7
6 kg= 29.4
9 kg= 44.1
Step-by-step explanation:
The gravitational potential energy of the cylinders as follows:
3 kg: 14.7 kJ, 6 kg: 29.4 kJ, and 9 kg: 44.1 kJ
What is the GPE?GPE is gravitational potential energy, mass is the mass of the object in kilograms, gravity is the acceleration due to gravity in meters per second squared (usually taken to be 9.8 m/s²), and height is the height of the object above the reference point in meters.
To calculate the gravitational potential energy (GPE) of an object, you need to know its mass, the acceleration due to gravity, and its height above a reference point. You can use the formula:
GPE = mass × gravity × height
In this case, the mass of each cylinder is given in the first column of the chart, and the height of the cylinders is 500 meters. However, the acceleration due to gravity is not given in the chart. We can assume that it is 9.8 m/s², but if you have a different value, you should use that instead.
Using these values, we can calculate the gravitational potential energy of the 3-kilogram cylinder as follows:
GPE = 3 kg × 9.8 m/s² × 500 m = 14700 kg m/s²
Converting this to kilojoules gives us:
GPE = 14700 kgm/s² × (1 J/1 kgm/s²) = 14700 J
Converting this to kilojoules (kJ) gives us:
GPE = 14700 J / 1000 J/kJ = 14.7 kJ
Therefore, the gravitational potential energy of the 3-kilogram cylinder is 14.7 kJ.
You can use the same process to calculate the gravitational potential energy of the 6-kilogram is 29.4 kJ and the 9-kilogram cylinders is 44.1 kJ.
Learn more about gravitational potential energy here:
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Graph the line that passes through the points (3, -5) and (-1, -9) and determine
the equation of the line.
Answer:
the slope intercept equation for this line would be y = x - 8
Step-by-step explanation:
the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8
Answer:
y= x-8
Step-by-step explanation:
Darien's kitten weighs 2.25 pounds. Her dog weighs 10 times the weight of the kitten. How much does her dog weigh?
Answer: 22.5 LBS (Or Pounds)
Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)
Answer:
22.5 pounds
Step-by-step explanation:
You multiply 10 by 2.25 to get your answer
You can just move the decimal to the right one decimal place since you're multiplying by 10
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.
Answer:
Range[4,24,44,64,84,104,124]
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs
20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in
pounds can be represented by f x( ) = 20x + 4.
What is the range of the function for this situation?
The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6
The given function is
f(x) = 20x + 4 =
f(0) = 20(0) + 4
= 4
f(6) = 20(6) + 4
= 124
Which means the range is within 4 and 124.
But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24
Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)
(10 points) only answer section b plz
HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU
Answer:
Step-by-step explanation:
Remark
The point about the question is that the two sides are marked as equal.
Equation
3x + 5 = 5x + 1 Subtract 3x from both sides
Solution
3x - 3x + 5 = 5x - 3x + 1 Combine like terms
5 = 2x + 1 Subtract 1 from each side
5-1 = 2x +1 - 1 Combine
4 = 2x Divide by 2
4/2 = 2x/2
x = 2
Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *
A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s
Answer:
D) 3cm/s
Step-by-step explanation:
Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.
Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.
Therefore, the answer is D, 3cm/s.
Hope that helps!
Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim lives in an area with an 8.5% sales tax rate?
Answer:
The washing machine cost $600 before tax
Step-by-step explanation:
Percentages
The washing machine cost $651 including a tax of 8.5%.
If x was the cost of the washing machine before tax, then the tax was:
x*8.5/100 = 0.085x
It was added to the original price:
x + 0.085x = 1.085x
That is the final price, thus
1.085x=$651
Solving:
x = $651/1.085
x = $600
The washing machine cost $600 before tax
Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3
The system of equations represented by the graph are
y = 2x + 3 and y = (-1/2)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of one line on the graph.
y = mx + c
Select two coordinates from the line.
(0, 3) and (-3, -3)
m = (-3 - 3) / -3 = -6/-3 = 2
(0, 3) = (x, y)
3 = 0 + c
c = 3
The equation of the line is y = 2x + 3
The equation of the other line on the graph.
y = mx + c
Select two coordinates from the line.
(0, -3) and (2, -4)
m = (-4 + 3) / 2 = -1/2 = -1/2
(0, -3) = (x, y)
-3 = 0 + c
c = -3
The equation of the line is y = (-1/2)x - 3
Thus,
y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.
Learn more about equation of a line here:
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help im confusion......
Answer:
Line J
Step-by-step explanation:
It is sloping downwards. It starts in the top left and end at the bottom right, so it it the only negative one
Answer:
Line J
Step-by-step explanation:
Its the only one descending downwards, while the other two are going up in a positive direction.
Hope this helps (:
Beckett purchased a diamond ring for $14,000. The value of the ring increases 2.1% every year
Answer:
14,000+2.1%(0.021)x
Step-by-step explanation:
x is how many years
The entrance to our school has a height of 10.5 feet. There are approximately 30.5 centimeters in 1 foot. What is the height of the entrance in centimeters?
Answer:
320.25 centimeters
Step-by-step explanation:
you multiply 10.5 * 30.5
is it yes or no??........
Answer:
No
Step-by-step explanation:
It's not proportional because the unit rate for each hour isn't the same.
Lima beans $2.13 for 2 lb
Answer:
i think its $1.07 per pound.
Step-by-step explanation:
One letter was selected at random from words SAN ANTONIO what is the probability that the selected letter was either an A or an N?
Answer:
the posibility for both of these answers are 5/10 or a 5 in ten chance that it would be a or n because in this there is 5 or these letters
Step-by-step explanation:
What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8
Answer:
C
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
5x - 2(2x-1) = 6 Distribute first the 2 to (2x-1)
5x - 4x + 2 = 6 Subtract 5x - 4x
x + 2 = 6 Transpose 2 to the right side by subtracting both side by 2
x = 6 -2
x = 4
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
563/84 show how u solved
Answer:
u just have to divide
put the numbers in a calculator and the answer is 6.70238095238
Step-by-step explanation:
hope this helps
Answer:
you can't divide it
if u do then its
6.70238095238095238095.............................
6 r 59
Step-by-step explanation:
ok ok um so
multiples of 84:
84
168
252
336
420
504
588
we take 504
563-504 = 59
504/84 = 6
so 6 r 59
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall. By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec. How fast is the top of the ladder sliding down the wall?
Given :
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.
By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.
To Find :
How fast is the top of the ladder sliding down the wall.
Solution :
By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.
Now, [tex]x^2 + y^2 = 13^2[/tex]
Differentiating both sides, we get :
[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]
Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?
Answer:
terms 3
coefficients 2
constant is your 11
Step-by-step explanation:
please help me I dont want to do it and I am on a timed thing
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-5 -15 = -20
-20+4 = -16
-16+15 = -1
Therefore, -5-15+4+15 = -1
Pls help someone my brain is about to explode
Answer:
It has to be the third option.
Happy to help :)
HELPPPPPPP ............ please.
Answer:
B) 1/3
Step-by-step explanation:
Add up all the marbles
5 + 6 + 3 + 4 = 18 marbles
Make a fraction of the red marbles out of all the marbles
6/18
Simplify the fraction
1/3
Answer:
b
Step-by-step explanation:
chances of drawing a red is 6/18
6/18=1/3, so its B
more of my math lesson plz help guyssss
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
Help me please!
How much can the Owen family expect to pay per year for tuition to a private college?
A)$22,568
B)$23.068
C)$24.618
D)$25.458
Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?
Please show your work!
Answer:
0.6
Step-by-step explanation:
10l|8w
6l`|?w`
6/10=0.6
0.6 x 8w = 4.8w
Scale factor = 0.6
Step-by-step explanation:
please delete this comment
If OB= 2x+1 and
BR = 3x-10 then OR=
Factor 72x−18xy
Find the Factor of 72x-18xy
Answer:
4x and (1-y)
Step-by-step explanation:
4x(1-y)
this is my answer
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
The factors of the expression are 18x and 4-y
Learn more on factors here: https://brainly.com/question/24539261
Solve the inequality − 3 x + 6 > 15
Answer:
The Answer to your question is x<-7 Hope This could Help
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3x+6>15
Step 1: Subtract 6 from both sides.
−3x+6−6>15−6
−3x>9
Step 2: Divide both sides by -3.
−3x/−3>9/−3
pls mark as brainliest
Please help the question is in the photo
Answer:
SSS or SAS
Step-by-step explanation:
