The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 25-kg object has 980 joules of potential energy when it is 4 meters off the ground. another object has 150 joules of potential energy at 3 meters off the ground. what is the mass of the second object? round to two decimal places. 0.32 kilogram 2.88 kilograms 5.10 kilograms 45.90 kilograms

Answers

Answer 1

The mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

What is gravitational potential energy?

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational accelaration and (h) is the height of the body.

Here, for the second object, we have:

Potential energy = 150 joulesDistance from the ground = 3 mg = gravitational acceleration = [tex]9.8 \: \rm m/s^2[/tex]

Let its mass be m kg, then:

[tex]U=mgh\\\\150 = m(9.8)(3)\\\\m = 50/9.8 \approx 5.10 \: \rm kg[/tex]

Thus, the mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

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Related Questions

 Can a probability more than one or 100% Explain.

Answers

Answer:

No. Only 1 to 100, logically.

Let's make a scenario to solve this.

So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.

Now we must create another scenario.

For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

Step-by-step explanation:

the ratio of ________to ____________is 4:6 because ther are 4 __________ for every 6 ___________.

Answers

Answer:

the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.

Step-by-step explanation:

A group consists of 10 kids and 2 adults. On a hike, they must form a line with an adult at the front and an adult at the back. How many ways are there to form the line

Answers

Answer:

1

Step-by-step explanation:

One adult at the front ~ ten students in a line ~ Second adult

Type the correct answer in the box. Use numerals instead of words.
A toy ball has a surface area of 7,543 square millimeters.

What is the radius of the toy ball to the nearest tenth of a millimeter?

The radius is millimeters.

Answers

Answer:

The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease

The radius of the toy ball is 24.5 millimeter (to nearest tenth)

What is the surface area of a sphere ?

Let, r be the radius of the sphere.

Then the surface area of the sphere = [tex]4\pi r^{2}[/tex] sq. unit

How to find the radius of the toy ball?

The structure of the toy ball is sphere.

Given, Surface area of the toy ball = 7543 square millimeter

Let, the radius be r millimeter

∴  [tex]4\pi r^{2}[/tex] = 7543

⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{4*3.14}[/tex]  , where [tex]\pi[/tex] = 3.14

⇒  [tex]r^{2}[/tex] = [tex]\frac{7543}{12.56}[/tex]

⇒  [tex]r^{2}[/tex] = 600.56

⇒ r = [tex]\sqrt{600.56}[/tex]

⇒ r = 24.5 (approx)

Radius = 24.5 millimeter (to nearest tenth)

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A term describing a division of observations into four

Answers

Answer:

The name of this term is a quartile.

There are 6 juice boxes in 1 pack. 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern Then find how many juice boxes are in 10 packs and 100 packs

Answers

Answer:

24 boxes in 4 packs.

36 boxes in 6 packs.

60 boxes in 10 packs.

600 boxes in 100 packs.

Step-by-step explanation:

If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.

There are two ways you can get an answer

Multiplication:

For however many packs there are you multiply it by 6 boxes.

For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.

For 6 packs, you multiply it by 6 boxes again getting 36 boxes.

Below is a table I made for an example.

P | B

1  | 6

2 | 12

3 | 18

4 | 24

5 | #

6 | 36

10 x 6 is 60

100 x 6 is 600.

whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000

Complete the statement about taxes on dividends. Dividends that are (nonqualified or qualified) are taxed the same as short-term capital gains, which is (equal to, higher than, lower than) the investor's marginal tax rate

Answers

Dividends that are nonqualified are taxed the same as short-term capital gains, which is lower than the investor's marginal tax rate.

What is Marginal tax rate?

This is defined as the amount of additional tax paid for every additional dollar earned as income.

The additional amount calculated therefore makes nonqualified dividends to have a lower value than it.

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Answer: dividends that are NONQUALIFIED are taxed the same as short-term capital gains, which is EQUAL TO the investors marginal tax

Step-by-step explanation:

How do I solve this ?

Answers

just type it in a but it 93 explanation


A hen weighs 2.7 kg. After laying an egg her weight is reduced by 1%. How much does she
weigh now?

Answers

2.673 is the asnwer to your quesstion.

Brainly patrol, this is a real answer. Stop it.

What is the number of x-intercepts of the graph of the function f ( x ) = 25 x 2 + 4 ?

Answers

Answer:

0.

Step-by-step explanation:

For x-intercepts:

25x^2 + 4 = 0

x^2 = -4/15

There are no real square roots of a negative value, so there are no x-intercepts.

the sum of 2 thousands, 11 hundreds, 8 tens 2 ones=

Answers

Answer:

answer is 3182

Step-by-step explanation:

hdjsiabehdk

QUESTION 1 of 10: If you pay a total of $400 for your social media campaign, and you agreed to pay $0.20 per click, how many clicks did you
get?

a) 80
b) 160
c) 1,200
d) 2,000

Answers

Answer:

d. 2,000

Step-by-step explanation:

400 (total) / 0.20 (per click) = 2,000

come get a prize brainlest

Answers

Answer: 70 - 79

hope this helps! :)

Fill in the blanks!

Answers

Answer:

5(3x + 4y)

= (5×3x) (5×4y)

=15x + 20y

Step-by-step explanation:

Simplify by expanding

I'm not sure if this is the answer you want but I hope it helps

the 6th term is 22 and the common difference is 6 what is the fiftieth term?

Answers

Answer:

the fiftieth term is 76

Step-by-step explanation:

first subtract 15 by 6

15-6= 9

22+ 6 (9)

6 x 9= 54

22 + 54= 76

Answer: 76

Which expression is equivalent to 312 • 79?

Answers

Answer:

Step-by-step explanation:

Which of the relations given by the following sets of ordered pairs is a function?
(8,1),(-4,1),(3,5),(0,4),(-1,2)
{(-5,-4),(-4,-3),(-3,-2),(-4,-5),{(-2,-1)}}
((2,4),(2,6),(2,8),(2,10),(2,12)]
({(0,3),(-6,8),(-3,5),(0,-3),(7,11)})

Answers

Answer:

Number 1

Step-by-step explanation:

Functions have to have no repeating x-intercepts.

Tyrone randomly drew pieces of paper numbered 10 through 50 out of a bowl. After he drew each piece of paper, he recorded the number, returned the piece of paper to the bowl, and then drew the next piece of paper. His results are recorded in the stem-and-leaf plot below.

1 1 1 2 3 4 4 5 7 8
2 0 1 2 2 2 3 4 6 8 9
3 0 0 1 2 3 4 5 5 6 7 9 9
4 3 4 4 5 6 7 8 8 9
Key: 1 6 represents 16

Based on the information in the stem-and-leaf plot, what is the experimental probability that a piece of paper randomly drawn from the bowl will have the number 35 written on it?
A.


B.


C.


D.

Answers

Answer:

the answer is D, 1/20

Step-by-step explanation:

i got it wrong the first time but just look at the correct answer choice

The experimental probability is 1/20 that a piece of paper randomly drawn from the bowl will have the number 35 written on it.

What is the stem-and-leaf diagram?

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

As per the given stem-and-leaf plot, the required solution would be as:

First, determine the total number of pieces of paper pulled from the bowl by totaling the entries in the stem-and-leaf plot.

The stem-and-leaf layout has 40 numbers, with two of them being 35.

As a result, two of the forty pieces of paper drawn had the number 35 scrawled on them.

So, the experimental probability of the piece of paper having 35 on it is :

2/40 = 1/20.

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5. Mrs. Taylor painted her bathroom.
She began painting at 10:45 a.m.
She painted for 3 hours and 45
minutes. What time did she
finish painting?
A. 1:30 p.m.
B. 1:45 a.m.
C. 2:15 a.m.
D. 2:30 p.m.

Answers

Answer:

D

Step-by-step explanation:

Add 10:45 by 3

Entercept word problems

arn

r

2. the water in nate's swimming pool is

currently 72 inches deep. however, nate

noticed a hole in the liner that is causing

water to leak out of the pool. the depth of

the water is decreasing at a rate of 2 inches

per hour. which equation relates the depth

(d) of the water in inches after h hours?

Answers

slope intercept form will help you find the function of the line :) [ y = mx + b ]

at time = 0 (y-intercept) the pool is 72in deep

the pool loses 2 inches of water every 1 hour. or -2/1

so your equation is y = -2x + 72

Good Luck!

Dana plans to use a survey of 60 randomly selected students at her school to predict the percentage of the 900 students at her school who will attend next week's school dance. How can Dana change her data collection plans to make her prediction closer to the actual result?​

Answers

Answer:

See below ~

Step-by-step explanation:

Dana takes a survey of 60 students out of 900 total to see how many will attend the dance.

Based on whatever result she gets out of the 60 students, she can take that number and multiply it by 15 to get a closer prediction to the actual result.

This is because 60 x 15 = 900We are basic taking a ratio of the smaller portion so we can estimate the value of the larger group

Solve for m. 2 = m /3 − 2

Answers

Answer:

12

Step-by-step explanation:

Add 2 to both sides, giving 4 = m/3Multiply both sides by 3, giving 12 = m

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?

Answers

Answer: 113.04 in^2

Step-by-step explanation:

area of a circle = pir^2

R = 12/2 = 6

A= 3.14 * 6^2

= 113.04

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area of the heptagon rounded to the nearest whole number? recall that a heptagon is a polygon with 7 sides. 1,173 cm2 2,125 cm2 2,359 cm2 4,250 cm2

Answers

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

What is the area of a heptagon?

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]

Here, (a) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

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Answer: b

Step-by-step explanation:

Glven: AABC with altitude h shown in the diagram. The altitude is perpendicular to BC.
Prove: Area of AABC = 1/2ab sin(C)

By the definition of the (sine ratio, area of triangle, or perimeter of triangle) , the area of ABC is 1/2 ah, then, sin (C)h/b bye the definition of the sine ratio. Using the (division property, multiplication property, substitution property,) bsin(C) = H. Lastly A= 1/2absin(C) by the (simplification, division property, multiplication property, substitution property)

Answers

Answer:

Area of triangle

Multiplication property of equality

Substitution property of equality

Step-by-step explanation:

Hope this helps

So, it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex].

What is a triangle?

A triangle is a 2D shape having three sides and the sum of all angles is 180°.

We have,

A ΔABC,

And,

AB = c

BC = a

CA = b

H = Altitude of the triangle,

Now,

Area of triangle [tex]=\frac{1}{2} * Base *Altitude[/tex]

i.e.

Area of triangle ABC [tex]=\frac{1}{2} * a*h[/tex]     .....(i)

Now,

Using trigonometric ratios,

[tex]Sin C = \frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin C = \frac{h}{b}[/tex]

We get,

h = b * SinC

Now,

putting this value in equation (i),

We get,

Area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex]  

So,

It is proved that area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex] ,

Hence, we can say that it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex], using trigonometric ratios and the triangle's area formula.

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you roll a six-sided die. find the probability of the event described. explain your reasoning: you roll a number less than three​

Answers

Can only get a 1 or 2
1/6 + 1/6 = 2/6
Or 1/3 simplified

Find the measure of the missing angles.
147°
b =
c =

Answers

Step-by-step explanation:

b = 147° ( vertically opposite angle )

c + 147 ° = 180° ( supplementary angle )

c = 180° - 147°

c= 33°...

Answer:

Step-by-step explanation:

b = 147°    {Vertically opposite angles are congruent}

Linear pair: A linear pair is a pair of adjacent angles whose non-common arms form a line ( opposite rays)

c + 147 = 180          {Linear pair}

         c = 180 - 147

c = 33°

please help me (NO LINKS PLEASE)

Yvette spins the following spinner 35 times.

A spinner with 5 equal sections labeled 1 through 5.




How many times should she expect it to land on 4?
Enter your answer as a number, like this: 42

Answers

Answer:

7 times

Step-by-step explanation:

Prob of landing on 4: 1/5

1/5 * 35 = 7

Answer: 7

Step-by-step explanation:

For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?

Answers

Answer:

4500

Step-by-step explanation:

20 points!! Will give brainilisest. ASAP!!

Answers

Answer:

Measure the border between the black lines and the distance between the two places. Then calculate the difference.

Step-by-step explanation:

EX: Let’s say distance is 10 inches distance and 7 inches distance between cities.

7/10–> 7x36/10x36

252/360

And then simplify!

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