The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

What is the equivalent equation solved for h?

StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h

Answers

Answer 1

The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Subject of Formula

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]

∴ [tex]\frac{P}{mg} = h[/tex]

Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Learn more on Subject of formula here: https://brainly.com/question/24155675

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Answer 2

Answer

B

Step-by-step explanation:

Edge 2022


Related Questions

find the estimates for the following:

Answers

Answer:

Hope it helps

Step-by-step explanation:

A cylindrical container closed of both end has a radius of 7cm and height of 6cm A.)find the total surface area of the container B.) find the volume of the container

Answers

Answer:

Step-by-step explanation:

Surface:

surface area = 2 ends + side

The ends are both a circle and they are identical.

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

then  [tex]\pi[/tex][tex]7^{2}[/tex] = 153.93804 [tex]cm^{2}[/tex]

since there are two ends multiply the above by 2

2*153.93804 =307.87608 [tex]cm^{2}[/tex]

the side is the length * height

length = perimeter of the circle , the perimeter of a circle is also the circumference.   circ = 2[tex]\pi[/tex]r

circ = 2*[tex]\pi[/tex]*7 = 53.407075

surface area of the side = 6* 53.407075=320.44245

add the two surfaces areas together :)

total surface area = 320.44245 + 307.87608 = 628.3185307 [tex]cm^{2}[/tex]

Volume:

volume is the area of the end times the height

volume = circle area * height

volume = 153.93804 * 6

volume = 923.62824 [tex]cm^{3}[/tex]

find x. need help w these 2 questions in the pic, thanks!

Answers

Hello,

d)

The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:

x=70°

e)

There is a rectanglar triangle with a angle of 64°

The complement is 90°-64°=26°

The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°

So x=13°

I hope i have used the right words in my answer.

What is the multiplicative rate of change for the exponential function f(x) = 21
2

Answers

I’m not sure but you should search it up

plz help ASAP with explanation

Answers

Answer:

The height of the tank in the picture is:

19.5 cm

Step-by-step explanation:

First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:

1 liter = 1000 cm^3

So:

1.2 liters = 1200 cm^3

Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:

Volume of a cube = long * wide * height

Now, we must clear the height because we know the volume (1200 cm^3):

Height = volume of a cube / (long * wide)

And we replace:

Height = 1200 cm^3 / (12 cm * 8 cm)Height = 1200 cm^3 / (96 cm^2)Height = 12.5 cm

Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:

Heigth of the tank = Height empty zone + height zone with waterHeigth of the tank = 12.5 cm + 7 cmHeigth of the tank = 19.5 cm

In this form, we calculate the height of the tank in 19.5 cm.

A scientist hopes to launch a weather balloon on one of the next three mornings. For each​ morning, there is a 40​% chance of suitable weather. What is the probability that there will be at least one morning with suitable​ weather?

SOMEONE PLEASE HELP ME.

Answers

Answer:

118/125

Step-by-step explanation:

We can find first the probability that there isn’t suitable weather:

60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125

now we have just to do this operation

125/125 - 27/125 = 118/125

Create 5 examples of gains and losses using positive and negative numbers. Explain your examples.

Answers

Answer:

Look below...

Step-by-step explanation:

Losing 7 cards in a deck: -7. Losing means negative.

Saving $102 in your wallet: 102. You are saving, that means you gain.

336 feet below sea level: -336. Below indicates less than 0,  which is negative.

Depositing $43 into your bank account: 43. Depositing means putting. If you put $43 in YOUR bank account, the bank account gains money. So you gain money. Making it positive.

1,000 feet above sea level: 1,000. Above indicates more than zero. Anything more than zero on a number line is positive.

Hope this helps :)

WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?

A graph with a line running through coordinates (0, 6) and coordinates (1, -2)

Answers

Answer:  -8

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-6)/(1-0)

m = -8/1

m = -8

The slope is -8

We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.

Put another way: slope = rise/run = -8/1

rise = -8 and run = 1.

Answer:

-8

it's easy just use the equation y2-y1 ÷ x2-x1

helpppp and explain///////////////////////////

Answers

Answer:

A

Step-by-step explanation:

The first thing we have to do here is to subtract g(x) from f(x)

We have this as;

2x + 4 -(3x-7)

= 2x + 4-3x + 7

= -x + 11

Now, we substitute the value of x for 5

We have -5+ 11 = 6

( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)

Answers

Answer is 10.2 + 3.1x
Solve by combining like terms

1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A​

Answers

Step-by-step explanation:

— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .

GIVING 15 POINTS PLS HELP!!!

Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.

Answers

Answer:

the picture I've given is an answer

I need help,plss:(
Describe the graph of the function.

[tex]y = \sqrt{ x - 1 + 4} [/tex]
a). the graph is the radical function y=sqrt(x) shifted right 1 units and down 4 units.
b). the graph is the radical function y=sqrt(×) shifted left 4 units and up 1 units.
c). the graph is the radical function y=sqrt(x) shifted right 1 units and up 4 units.
d). the graph is the radical function y=sqrt(×) shifted left 1 units and up 4 units.​

Answers

Answer:

C

Step-by-step explanation:

[tex]y=\sqrt{x-1} +4[/tex]

graph is shifted right 1 unit and 4 units up.

what is 888 + 48 ? pleaaaase

Answers

936 is the answer to this equation

2(4+2x)≥5x+5 solve inequality

Answers

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x 3

[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]

What is the value of x? 160° 51°​

Answers

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:

Find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

In step one she has added 1x to each side of the statement

in step two she has taken five away from both sides of the equation therefore simplifying the entire equation

in step three she divided both sides by three to have the unknown value on one side of the equation

1+1
sjssssssssssssssssss

Answers

Answer:

2

Step-by-step explanation:

Please Mark me brainliest

Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?

Answers

Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

help asap ---- ---- ---- ---- ----v ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----

Answers

Given:

The graph of h(x) is the greed dashed line segment.

To find:

The endpoints of the function [tex]h^{-1}(x)[/tex].

Solution:

If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]

From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).

So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).

Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.

Helppp and explain !!!!

Answers

Answer:

try 4

Step-by-step explanation:

basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64

answer is 4

x^3 = 64

this means a number to the third power is equal to 64. in other words, a number multiplied by itself 3 times equals 64

x= cube root of 64

64 is a perfect cube, which are best to memorize. 4 x 4 x 4 = 64 so x = 4

Hello Freinds
Pls answer

1 micron is equal to ?

the right answer will be marked as brainlist! ✌​

Answers

Answer:

Step-by-step explanation:

1 micron = 1 *  [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]

1 micron  = 0.00003937 inches

Answer:

hello good morning

I hope you are fine

its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿

llxXKHaNZaDaXxll ~_^)⌐╦╦═─

How many solutions does the equation 5X +10 equals 5X - 8 have

A: zero
B: one
C:Two
D: infinity many

Answers

Answer:

zero

Step-by-step explanation:

5x+10 = 5x-8

5x-5x = -8-10

0 = -18

so zero

=5x+10=5x-8=5x-5x=-8-10= 0 = -18

Can someone help me with this math homework please!

Answers

Answer:

#1: (B, D, E)

#2: (D) f(q) = 2q + 3

#3: (C) 1

#4: (B) f(5) = -1

#5: (A) - 8

Step-by-step explanation:

Question 1:

The number inside the parentheses is the input value, or x coordinate, and the output value (the number on the right side of the equal sign) is the y coordinate.

Use basic graph plotting skills to see if the x coordinate has a y coordinate value that's ON the graph line.

Question 2:

The variable "q" is our independent variable, also known as our x variable if you used the y = mx + b formula.

To rewrite 6q = 3s - 9 into function notation, you would solve for variable "s" using basic algebra:

6q = 3s - 9

6q + 9 = 3s

2q + 3 = s

s = 2q + 3 or f(q) = 2q + 3

Question 3:

The number inside the parentheses, -2, is the input value, or the x coordinate. Looking at the table, you can see that when you input -2, you get an ouput of 1.

Question 4:

Use the same process as Question 1.

Question 5:

The number inside the parentheses, 5, is the input value, or the x coordinate. Looking at the table, you can see that when you input 5, you get an ouput of -8.

Hope it helps (●'◡'●)

Answer:

1. (2), (4), (5)

2. (4l

3. (3)

4. (2)

5. (1)

Step-by-step explanation:

1.

g(0) = 0

g(-1) = 1

g(1) = 1

2.

since q is the independent variable s must be dependent on q and hence s must be equal to f(q)

6q = 3s - 9

3s = 6q + 9

s = 2q + 3

f(q) = 2q + 3

that is the last option

3.

= 1

4.

= -1

5.

= -8

HELPPPPPP i will give brainliest!!!!!

Answers

Answer:

10-5=5 answer is 8^5

Step-by-step explanation:

Answer:

[tex]8^{5}[/tex]

Step-by-step explanation:

[tex]\frac{8^{10} }{8^{5} }[/tex]

Where are there more 8's ?

top

How many more?

5

Then they stay on top of fraction.

Another way :

[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]

[tex]8^{10}[/tex]  ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]

f(x)=3^x+2 domain and range

Answers

Answer:

domain: (-∞  ,∞)

range: (2,∞ )

Step-by-step explanation:

A car can run 16 km using 1 litre of pertol. How much distance will it cover using 2 3/4liters of petrol​

Answers

Answer:  44 km

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

Work shown:

3/4 = 0.75

2 3/4 = 2 & 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75

We can form a proportion and solve for x like so

(16 km)/(1 liter) = (x km)/(2.75 liters)

16/1 = x/2.75

16*2.75 = 1*x .... cross multiplication

44 = x

x = 44

The car will cover a distance of 44 km

36 liters 16x2=32 and 3/4 just divide 16 and 3=4 add 32 and 4= 36

Plz help me.

I WILL GIVE BRAINLY

Answers

Answer:

p = T - a - b

Step-by-step explanation:

T = a + p + b

p = T - a - b

A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
a. 180 inches
b. 250 inches
c. 210 inches
d. 200 inches

Answers

Answer:

A. 180

Step-by-step explanation:

5×6= 30

150+30

= 180

Answer:

a

Step-by-step explanation:

x/150=6/5

x=6/5×150=6×30=180 inches.

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