Mathematics Middle School

An object has gravitational potential energy of 24 joules when it rests on a shelf 3 m above the ground. What would be its gravitational potential energy when it is lowered to a shelf 1 m above the ground?

Answers

Answer 1

The equation for the gravitational potential energy Ep is:

Ep=m*g*h where m is the mass of the body, g=9.81 m/s² and h is the height of the body.

First we need to find the mass of the body:

m=Ep/(g*h)=24/(9.81*3)=0.82 kg

Now lets see what it's gravitational potential energy would be on the height of 1 m.

Ep=0.82*9.81*1 = 8 J

On the height of 1 m the body has a gravitational potential energy of Ep=8 J.

Related Questions

Question is in the Picture.

A

B

C

D

Answers

B because 2 and 1/3 is 7/3 as an improper fraction times 4 is 28/3 and as a mixed number it is 9 and 1/3

B is the correct answer

can someone pls help

Answers

Answer:

Step-by-step explanation:

Identity property of multiplication just has to be a number times 1 is equal to the number.

If this has helped please mark as brainliest

i believe it is D.

Can someone please help me with this problem.

Answers

Answer:

5,600,000,000,000

Step-by-step explanation:

read as 5 trillion, 6 hundred million

E12 = [tex]10^{12}[/tex]

Answer:

5,600,000,000,000

Step-by-step explanation:

read as 5 trillion, 6 hundred million

E12 = 10^12

OKAY SO I KNOW THAT THE ANSWER IS A WITH THE 13 IN IT BUT COULD SOMEONE PLS EXPLAIN WHY ITS A!!!! PLEASE AND THANK YOU!!!
Jordan wants to find the volume of a cylindrical water storage tank. When we walks around the tank, staying as close to the tank wall as possible, he travels 82.1 feet. How can he use this information when finding the volume of the tank?
A) He can say the radius of the base of the tank is approximately 13 feet.
B) He can say the radius of the base of the tank is approximately 41 feet.
C) He can say the area of the base of the tank is approximately 82 feet.
D) He can say the height of the tank is approximately 82 feet.

Answers

Correct answer is B good
Luck !!!

What the area of the whole building

Answers

Answer:

The area of the whole building is 83feet^2

Step-by-step explanation:

Please mark me brainliest

The area is 83 feet

A pair of equations is shown below:
y = 6x − 4
y = 5x − 3

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.

Part B: What is the solution to the pair of equations?

Answers

Slope Intercept Form - y = mx + b

First you need the slope or m which in the first equation is 6 and in the second is 5

Next the y-intercept or b which in the first equation is -4 and in the second is -3

Here is an image of both equation plotted on a graph where the first equation is purple and the second is green

Hope this helps, if you need anything else i will edit it in :)

edit: The to lines intercept at the point (1,2)

Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.

1 is the solution for part b

What is the common denominator of 7/8 and 5/6

Answers

Answer:

Step-by-step explanation:

2 x 4 = 8

2 x 3 = 6

Answer:

Step-by-step explanation:

7/8 = 7/8 × 3/3 = 21/24

5/6 = 5/6 × 4/4 = 20/24

For the denominators (8, 6) the least common multiple (LCM) is 24.

A bank offers a savings account with a yearly simple interest rate of 2%. Suppose you deposit $550 into a savings account. How much simple interest will you earn in 4 years and six months?

Answers

Answer:

49.5(interest)

599.5 (total amount)

Step-by-step explanation:

A=P(1+rt)

A=550(1+.02*4.5)

A=550(1+.09)

A=550(1.09)

A=599.5 (total amount)

599.5-550=49.5(interest)

550 x 0.02 = 11

11 x 4.5 = 49.5

ANSWER: $49.5 of simple interest

The price of a plane ticket was reduced from $2,400 to $750. By what percentage was the plane ticket reduced?

Answers

Answer:

32% approximately

Step-by-step explanation:

Take 2400, divide it by 750 and then multiply the result by 100

2400 divided 750 then multiply it by 100 bc its out of 100% then you should get ur answer. i got 32%

The area of the triangle below is 9/32 square centimetres. .What is the length of the base? Express your answer as a fraction in simplest form.

Answers

S O L U T I O N :

From the provided figure and given information,

Area or triangle = [tex] \sf \dfrac{9}{32}\; cm^2 [/tex]

Height of the triangle = [tex] \sf \dfrac{3}{4}\; cm [/tex]

We are asked to calculate the length of base.

As it we know that,

[tex]\\ \twoheadrightarrow\quad \bf{Area_{(\Delta)} = \dfrac{1}{2} \times b \times h}\\ [/tex]

h denotes height b denotes base

So,

[tex]\\ \twoheadrightarrow\quad \sf{\dfrac{9}{32}\; cm^2 = \dfrac{1}{2} \times b \times \dfrac{3}{4}\; cm}\\ [/tex]

[tex]\\ \twoheadrightarrow\quad \sf{\dfrac{9}{32}\; cm^2 = b \times \dfrac{3}{8}\; cm}\\ [/tex]

[tex]\\ \twoheadrightarrow\quad \sf{\dfrac{9}{32}\; cm^2\div \dfrac{3}{8}\; cm= b }\\ [/tex]

[tex]\\ \twoheadrightarrow\quad \sf{\dfrac{\cancel{9} }{\cancel{32} }\times \dfrac{\cancel{8} }{\cancel{3}} \; cm= b }\\ [/tex]

[tex]\\ \twoheadrightarrow\quad \bf \underline{ \dfrac{3}{4}\; cm= b }\\ [/tex]

Therefore, length of the base of the triangle is 3/4 cm.

hi hru she said ehhhh true

Okay last one. Someone help me please??

Answers

Answer:

The missing side (c) is 87 ft.

Step-by-step explanation:

8. Between which two consecutive integers does the radical √77 lie?
__< √77 <__

Answers

Answer:

√77 - 8 and 9 I'm pretty sure!! pls I'm sorry if it's wrong

Please help me I really need it

Answers

90 meters in 800 seconds

Answer:

90 metres 8000 per second

The spinner is spun 15 times and lands on greens 6 times. What is the experimental probability on landing on green.
A: 45% B: 50% C: 35% D: 6/15
pls tell the right answer i dont wanna fail math :( plzz

Answers

Answer:

D. 6/15

Step-by-step explanation:

You divide 6 (the number of times landed on a specific place) by 15 (the number of times spun). When you solve for 6/15, the answer is .4. In the form as a percentage, it would be 40%.

A. 110
B. 50
pls help asap !!!!!

Answers

Answer:

Range: 110

Step-by-step explanation:

Range = Largest number - Smallest number

= 150 - 40

= 110

Hope this helps!

Answer:110

Step-by-step explanation:

When you find range you have to subtract the maximum number minus the minimum number which in this case the maximum number is 150 and the minimum number is 40 and 150-40=110

How many more vertices does a rectangular prism have, compared to triangular pyramid?

Answers

Answer:

A rectangular prism has eight vertices and a rectangular pyramid has five.Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Hope this helps good luck

What is the interquartile range?

What is the range?

Answers

Answer:

Step-by-step explanation:

inquertalm range

q1 = 14

median = 20

q3 = 14

brainliest please

Inter quartile looks like 29 - 16 which is 13

Range is 34 - 14= 20

Interquartule is highest box point minus lowest range is highest point in general minus lowest

Does anyone know the answers to this?? (You can do one or more if you want thank you)

Answers

im not trying to get free pionts but what grade is that

You sit down in a chair. The legs break and you fall to the floor.
Is this a balanced or unbalanced force?

Answers

Answer:

unbalanced force not balanced

the answer is unbalanced force

Simple math riddle!
Awnser all questions!
BRAINLIEST!

Answers

Answer:

switch 2 is >

switch 4 is =

Answer: switch 1 > switch 2 =

Step-by-step explanation:

23. Starting with x=0.81818181 , express x as a fraction in simplest form.

Answers

You could do x=81 with the little line on the top (represents the number going on forever, and example is 0.818181818181818181818181818818181818 etc.)

The repeating decimal 0.81818181 as a fraction is 9/11

Converting the repeating decimal to a fraction.

From the question, we have the following parameters that can be used in our computation:

x = 0.81818181

Write out the first two digits

Number = 0.81

Express as fraction

So, we have

Number = 81/100

Subtract 1 from the denominator

Number = 81/99

Simplify

Number = 9/11

Hence, the fraction is 9/11

Answers

sorry there no answer but good luck on ur assignment and hope this motivated you! :)) ur doing great

Plz help its due in 10 minutes

Answers

The answer is : -8 hope this helps!!!

Explain how to draw a line segment that measures 72 millimeters.

Answers

Answer:

Take a ruler and use the mm to draw the line

If two sides of a triangle are 9 and 14, find the range for the third side.
*Be sure to type your answer as an inequality, ___

Answers

Answer:

x > 23

Step-by-step explanation:

Add both the sides up, and then determine that the third side should be greater than the sum of both the sides added, so anything greater than 23 would be the answer.

Hope this helps!

x > 24 djdjdjdjsjsjs

Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.
25% of the stickers on each sheet are hearts. The remaining stickers are stars.

Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.
Numbers may be used once or not at all.
375 added to Number of Star Stickers
20,25,100,325,475,480
(middle school)

Answers

i think there are 125 heart stickers and 375 star stickers. 20/4 = 5, so there are 5 heart stickers per sheet. there are 25 sheets in the package, 5 x 25 = 125. if the remaining stickers on a sheet are stars then there are 15 star stickers per sheet. 15 x 25 = 375.

pls pls pls pls pls pls pls pls pls

Answers

x=16.
there is ur answer

Answer: x = 16

Step-by-step explanation:

Cross Multiply: 6 * x = (4)*(24), 6x = 96

Divide both sides by 6, 6x/6 = 96/6.

Simplify: x = 16

erome is one third the age of his aunt, who is 51 years old. Write an equation to determine the age of Jerome. Let x represent the age of Jerome. 13x = 51

Answers

Answer:

3.92

Step-by-step explanation:

13x=51

divide both sides by 13.

The drama club sold 415 Manatee tickets to the school's play for $7.95 each 18 of the tickets were refunded estimate the tickets is your estimate and overestimate or an underestimate. PLZ HELP ASAP!!!!!!

Answers

since you always round up when you estimate in the middle lets say theres 420 tickets. Each is 7.95, but we'll round it to 8.00. 420x8.=3,360. After that part we need to find about how much tickets were refunded. So we round 18 to 20 and each ticket is still 8$. 20x8=160. Finally in all, we do 3,360-160=3200. Its an overestimate because we rounded up. Im not sure what else youre asking but thats the basic answer.

Hi! Can someone PLEASE find out what "X" is?

Will give brain-liest to correct answer!

3/4 of x is 24

Answers

I believe it is 32 but so sorry if I am wrong!

18 I think but I’m not sure tho

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