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timama [110]
2 years ago
12

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 g

ravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?

= h
= h
Pmg = h
= h
Mathematics
2 answers:
PIT_PIT [208]2 years ago
8 0
H=P/mg is the solution
Alinara [238K]2 years ago
8 0

Answer:

h= p/mg

Step-by-step explanation:

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.

P=mgh, we need to solve for h

To get 'h' alone we divide both sides by mg

\frac{p}{mg} =\frac{mgh}{mg}

mg gets cancelled on the right side

so h= p/mg

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Mr harrles worked 40 houres this week he also got a bounuse of 180$ hemr.Abdulla took a takie from his home to the air port. The
Volgvan

Question:

Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip

Answer:

88 - 2.50x

Step-by-step explanation:

Given :

Initial charge = 12

Charge per kilometer = 2.50

Amount given to driver = 100

Let distance from home to airport = x

Total charge = (initial charge + (distance * charge per km)

Total charge = 12 + 2.50x

Change = (Amount given to driver - total charge)

Change = (100 - (12 + 2.50x))

100 - 12 - 2.50x

88 - 2.50x

3 0
2 years ago
estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. which estimate is cl
Scorpion4ik [409]
<span><span>1.       </span>We have 2 boxes weighs:
=> 9.4 lb and 62.6 lbs.
Now, let’s estimate the total weight of this 2 boxes using rounding and compatible numbers.
For 9.4 lbs , the rounded and compatible number is 9 lbs
And for 62.6 lbs, the rounded and compatible number is 63 lbs
=> now, let’s try adding both numbers if we get a close answer
=> 9 +63
=> 72 = the estimated and rounded answer is 72.
Let’s check if we have close answer
=> 9.4 + 62.6
=> 72</span>



5 0
2 years ago
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Elenna [48]

Answer:

y = -\frac{4}{3}x + 9

Step-by-sep explanation:

To create an equation that represents the shortest oath of the swimmer that is perpendicular to the shoreline, we need to find the slope, m, and the y-intercept, b.

The slope of the path would be the negative reciprocal of the slope of the shoreline, since they are perpendicular.

Let's find the slope of the shoreline.

Using two points on the shoreline, (0, 1) and (4, 4),

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}

Therefore the slope, m, of the swimmer's path that is perpendicular to the shoreline would be -⁴/3.

Use the point of the swimmer and the slope of the path to find b.

Substitute m = -⁴/3, (x, y) = (6, 1) in y = mx + b

1 = (-\frac{4}{3})(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Now that we know the slope, m = -⁴/3, and the y-intercept, b = 9, plug in their values into y = mx + b.

The equation of the path would be:

y = -\frac{4}{3}x + 9

5 0
2 years ago
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
You do 192/3 is 60*3= 180 leaving you with 12 which is 4*3. So 64 is A
Then it’s 300/5 which is 60
455/7. So first see, if I multiply 7 by 60 is it over or under. If it’s over then B is the least and if it is less then C is the least. So 7 *60 is 420
C Being greater, b costs least per night
4 0
2 years ago
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Komok [63]

<u>Answer</u>

2/3


<u>Explanation</u>

For f(x) = g(x) we should equate the two functions to get the value of x.

f(x) = g(x)

−3x + 4 =  2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

(-3x)/-3 = (-2)/-3

  x = 2/3

4 0
2 years ago
Read 2 more answers
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