A 3.0 kg book sits on a very high shelf 4.5 meters above the ground. Calculate the potential energy of the book.

Answers

Answer 1
MASS*GRAV*HEIGHT=PE
MASS=3
GRAV=9.8
HEIGHT=4.5
3*9.8*4.5=132.3
POTENTIAL ENERGY= 132.3

Related Questions

I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has

Answers

Answer:

5 cows, 21 chicken

Step-by-step explanation:

5 cows; 20legs

21chickens; 42legs

26heads; 62legs

Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}

Answers

“A” because none of the coordinates repeat.

Find the measure of the numbered angle.
m∠3 =

Answers

Answer:

<3 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180

<1 + 40 + 90 = 180

<1 + 130 = 180

<1 = 50

<1 and <3 are vertical angles and vertical angles are equal

plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?

Answers

Answer:

12 days

Step-by-step explanation:

4x3=12

I need help with this question, here's the image​

Answers

Answer:

The answer Is C

solve the equation or inequality.
5t - 3 (7t + 1) < 93​

Answers

Step-by-step explanation:

5t-3(7t+1) < 93

Remove the parentheses

5t-21t-3 < 93

-16t < 93+3

-16t < 96

Divide both sides by 16

-t<96/16

-t<6

t > -6

Answer: The inequality t < 6 is the correct answer.

Step-by-step explanation:

5t - 3 (7t + 1) < 93​ <--- This is the original equation.

5t + (7t + 1) - 3 < 93​ <---- Use commutative property.

16t - 3 < 93 <--- Simplify

16t - 3 + 3  < 93​ + 3 <---- Add 3 to both sides,

16t < 96 <--- Simplify and do addition.

[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.

t < 6 <--- is the answer to the inequality.

Hope this helps! :D

Two years ago Juanita bought 2 shirts for $15 and last year she bought 4 shirts for $45. Assuming the prices will increase linearly, how much will 8 shirts cost Juanita this year?

Answers

Answer:

This year, Juanita will have to use $75.

Step-by-step explanation:

Because if 2 shirts is $15, 4 shirts will be $30. $45 is $15 more than $30, so the increase is $15. 2*4 is 8, so that will make it 15*4=60. 60+15=75.

-2y - 3y + 8 = 8 -5y - 12

solve this equation fast please

Answers

I don’t think there’s a solution
Ok hi so I’m going to help you solve on this equation, if I solved this correctly can you please mark me as brainiest? I’d really appreciate it. Anyway let’s get started!

What we need to do is cancel both like terms on both sides of this equation which is
8=8 and you remove them.

Then you are left with -2y-3y=-5y-12

What you need to do is add -2y-3y because they are like terms

Now you have -5y

Then you put -5y=-5y-12

So you have to now cancel equal terms on both sides of this equation which were “-5y=-5y”, then you turn them into a 0

Now you are left with 0=-12

Therefore the statement is false for any value of y.

using long Division perform (a²-22a+17)÷(a-13)​

Answers

Answer:

wherw are yiu coms on email kingrizvi218

Dan can ride his skateboard 2 miles in 10 minutes. How many miles can he ride his skateboard in 30 minutes?

Answers

Answer:

6

Step-by-step explanation:

In which story is the answer to the question 0?

1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?

2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?

Answers

Answer:

2

Step-by-step explanation:

It was +2 in the morning. -2 would make it 0.

the second story is the answer

Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?

Answers

Answer:

The temperature on the first day was 10 °F.

Step-by-step explanation:

Let's find the temperature in every single step starting from the fourth day:

[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]          

[tex] T_{3} = 1 F + 6 F = 7 F [/tex]

Then, the temperature of the third day was 7 °F

On the third day:

[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]

[tex] T_{2} = 7 F + 10 F = 17 F [/tex]

Hence, the temperature on the second day was 17 °F.

Now, on the second day:

[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]  

[tex] T_{1} = 17 F - 7 F = 10 F [/tex]

Therefore, the temperature on the first day was 10 °F.

I hope it helps you!                        

PLZ HELP ME ASAP!!!!

Answers

I can’t see the picture...

Answer:

I cant see the picture

Step-by-step explanation:

I cant see the picture

The data below represents the number of workouts each member of Big Muscles Gym attended last month. 4,5,7,7,7,8,10,11,11,13,13,144,5,7,7,7,8,10,11,11,13,13,144, comma, 5, comma, 7, comma, 7, comma, 7, comma, 8, comma, 10, comma, 11, comma, 11, comma, 13, comma, 13, comma, 14 Which box plot correctly summarizes the data?

Answers

Given:

The data values are 4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14.

To find:

The box plot for the given data set.

Solution:

The data values are

4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14

Divide these values in two equal parts.

(4, 5, 7, 7, 7, 8), (10, 11, 11, 13, 13, 14)

Divide each group again in two equal parts.

(4, 5, 7), (7, 7, 8), (10, 11, 11), (13, 13, 14)

Here,

Minimum value = 4

[tex]Q_1=\dfrac{7+7}{2}=\dfrac{14}{2}=7[/tex]

[tex]Median=\dfrac{8+10}{2}=\dfrac{18}{2}=9[/tex]

[tex]Q_3=\dfrac{11+13}{2}=\dfrac{24}{2}=12[/tex]

Maximum value = 14

It means, the starting point is 4 and end point is 14 of the box plot.

Box is lies from 7 to 12 and one line inside the box at 9.

Therefore, the box plot of the given data set is shown below.

using y=mx+b find the slope for
x + 2y = -8

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee

Answers

Answer:

The light intensity is 528 foot-candles at 5 feet

Step-by-step explanation:

If x and y are in inverse variation, then x y = k, where k is the constant of variation

In the given question

∵ The intensity I, of light received at a source, varies inversely as the

   square of the distance d, from the source

→ That means I × d² = k, where k is the constant of variation

I × d² = k

I = 33 foot-candle at d = 20 feet

→ Substitute them in the rule above to find k

33 × (20)² = k

∴ 33 × 400 = k

13200 = k

→ Substitute the value of k in the equation

I × d² = 13200 ⇒ equation of variation

d = 5

→ Substitute it in the equation to find I

∵ I × (5)² = 13200

∴ I × 25 = 13200

→ Divide both sides by 15

I = 528

The light intensity is 528 at 5 feet

5,7,9 i need help asap, step by step plss if possible :)

Answers

Answer:

5 yes

7 yes

9 no

Step-by-step explanation:

(4*7)^x is 28 which is greater than 0 and not equal to one.

Same with 7

9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero

Answer:

i need some points sorry not sorry

You toss a coin, roll a dice, and choose a card out of 52 decks of cards. What is the likely hood that you will toss tails, roll an odd number, and choose ace.

Answers

Answer:

~0.02% chance

Step-by-step explanation:

coin: 1/2 chance

dice: 3/6 chance

cards: 4/52 chance

1/2x3/6x4/52 = 0.02% percent chance

Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?

Answers

Answer:

The answer would be 45 minutes.

Step-by-step explanation:

Just skipped to the answer on Edementum.

A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the time taken by Maya to lawn the garden be x.

The rate at which Maya lawn = 1/x

Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,

The rate at which Edward lawn = 1/(x+15)

Working together they can both cut a lawn in 18 minutes.

The rate at which they both work = 1/18

Now, the rate of working can be compared as,

1/x + 1/(x+15) = 1/18

(x+ x + 5)/x(x+15) = 1/18

(2x + 15)18 = x(x+15)

36x + 270=x² + 15x

x²-21x-270=0

x = 30, -9

Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,

x + 15

= 30 + 15

= 45 minutes

Hence, the time it takes Edward to cut the lawn alone is 45 minutes.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

5(88) using distributive property and mental math

Answers

The answer is 440 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42​

Answers

Answer:

B (I think)

Step-by-step explanation:

$2.88 divided by 12 is 0.24

• When volleyballs are purchased, they are not fully inflated. A partially inflated
volleyball can be modeled by a sphere whose volume is approximately 180 in). After
being fully inflated, its volume is approximately 294 in. To the nearest tenth of an
inch, how much does the radius increase when the volleyball is fully inflated?

Answers

Answer:

The radius increase when the volleyball is fully inflated is 0.5

Step-by-step explanation:

Volume of Partially inflated volleyball = 180 in³

Volume of Full inflated volleyball = 294 in³

We need to find how much does the radius increase when the volleyball is fully inflated?

First we will find the radius of both Partially inflated and Full inflated volleyball. Then we will find increase in radius.

The formula for Volume of sphere is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]

Finding Radius of Partially inflated volleyball

Volume = 180

Putting values and finding radius of Partially inflated volleyball

[tex]Volume=\frac{4}{3}\pi r^3\\180=\frac{4}{3}*3.14*r^3\\4.186r^3=180\\r^3=\frac{180}{4.186}\\r^3=43.0\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{47}\\r= 3.6[/tex]

So, radius of Partially inflated volleyball is r = 3.6

Finding Radius of Fully inflated volleyball

Volume = 294

Putting values and finding radius of Fully inflated volleyball

[tex]Volume=\frac{4}{3}\pi r^3\\294=\frac{4}{3}*3.14*r^3\\4.186\:r^3=294\\r^3=\frac{294}{4.186}\\r^3=70.23\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{70.23}\\r= 4.1[/tex]

So, radius of Partially inflated volleyball is r = 4.1

Now, finding increase in radius by subtracting radius of fully inflated volleyball with partially inflated volleyball

Increase in radius of Fully inflated volleyball = 4.1 - 3.6

Increase in radius of Fully inflated volleyball = 0.5

So, the radius increase when the volleyball is fully inflated is 0.5

juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have ​

Answers

Answer:

11 dimes and 4 nickles

Step-by-step explanation:

Answer:

11 dimes equals 1.10 and 4 nickels equals 20 cents

Step-by-step explanation:

Wahts the value of N

Answers

Answer:

n=7

Step-by-step explanation:

33-19÷2= 7

sorry if my answer is wrong

the answer is N=7. pretty sure this is correct:)

find the value of x.

Answers

pls i just need some points so i can ask questions um
yup i totally know mhm yeah

Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is

Answers

explain better or brainliest cant do that

The graphs below have the same shape what is the equation of the blue graph

Answers

Answer:  g(x) = (x-2)^2 + 1. Choice C

===========================================================

Explanation:

The graphs have the same shape, which means they have the same 'a' value.

In this case, a = 1.

The vertex of the red graph is (0,0).

The vertex of the blue parabola is (2, 1)

The red curve has been shifted 2 units to the right and 1 unit up.

Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.

Plug a = 1, h = 2 and k = 1 to get...

y = a(x-h)^2 + k

y = 1(x-2)^2 + 1

g(x) = (x-2)^2 + 1

Answer:

C.

Step-by-step explanation:

Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).

solve the equation
48= y + 5y ​

Answers

48=y+5y

pretend that there is a 1 in front for the y

48=1y+5y

add the like terms first

1y+5y=6y

48=6y

divide both sides by 6 to get y by itself

48/6=6y/6

8=y

answer:

y=8

Answer:

y = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

48 = y + 5y

Step 2: Solve for y

Combine like terms:                    48 = 6yDivide 6 on both sides:               8 = yRewrite:                                        y = 8

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Substitute in y:                    48 = 8 + 5(8)Multiply:                               48 = 8 + 40Add:                                     48 = 48

Here we see that 48 does indeed equal 48.

∴ y = 8 is a solution of the equation.

Solve for f(-1) =
f(x)= (x+8)²+21​

Answers

Step-by-step explanation:

f(-1) = [(-1) + 8]² + 21 = 7² + 21 = 70.

Answer:

(x+8) 2+21

..................

What information can be used to compare linear relationships? Explain why.

Answers

Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).

Step-by-step explanation:

Answer:

Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

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