The formula for the gravitational potential energy of an object is U = mgh, where U represents the potential energy, m represents the mass of the object, g represents the acceleration due to gravity, and h represents the object’s height above the ground. Solve this formula for h.
U=mgh
U/m=gh
U/mg=h
therefore:
h=U/mg
The solution for h is h = U / (mg),
where U represents the potential energy, m represents the mass of the object, and g represents the acceleration due to gravity.
Here, we have,
To solve the formula U = mgh for h (the height above the ground),
we need to isolate h on one side of the equation.
Here are the steps:
Start by dividing both sides of the equation by mg:
U / (mg) = (mgh) / (mg)
This simplifies to:
U / (mg) = h
Now we have isolated h on one side of the equation.
Therefore, the formula for h is:
h = U / (mg)
So, the solution for h is h = U / (mg),
where U represents the potential energy, m represents the mass of the object, and g represents the acceleration due to gravity.
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The quotient of s and 5
Answer:
ead the excerpt from "The Most Dangerous Game,” by Richard Connell.
His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.
Which analysis best explains the effect of adding the female character
Step-by-step explanation:
Answer:
s/5
Step-by-step explanation:
its s/5 because the letter is always on top and yea..
Solve |5x+15|=10x. Identify the solution and an extraneous solution.
Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.
Answer: The required scale factor[tex]=\dfrac43[/tex]
Step-by-step explanation:
Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]
Here, ED = 3 units in Δ DEF which corresponding to SR = 4 units in ΔRST
Now,
Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]
[tex]=\dfrac{4}{3}[/tex]
hence, the required scale factor[tex]=\dfrac43[/tex]
at her job Jessie earns 9.75 an hour. she also earns a bonus of 80 dollars every month.
Jessie needs to earn at least 500 dollars a month. create an inequality that represents this situation, where h represents the number of hours that Jessie works in a month in order to earn at least 500 dollars
Answer:
9.75h + 80 ≥ 500
Step-by-step explanation:
Hi! If we look at the problem, it says that "Jessie earns 9.75 an hour." If it is asking you to use h as the hour, it results to 9.75h. Next, she gets a bonus of 80 dollars every month. 9.75h + 80. Lastly, it says she "needs to earn at least 500 dollars". at least is a fancy way of saying greater than or equal to '≥'.
Hope this helps!
The pizza store is having a 30% off sale on all of its pizzas. If the pizza you want
regularly costs $14, how much would you save with the discount?
To find the quotient of
8
1
3, multiply 8 by
-100
- اند
O
3.
ОО
8.
Answer: 3 hope this helped (:
Help me! I need help finishing this before it’s due!
Answer:
I think F is the right answer
Mateo started with more
than 100 boxes of cookies to
sell He sold 25 boxes. After
selling 25 boxes, how many
more boxes can he sell to
sell them all?
Answer:
y > 75
Step-by-step explanation:
Given that:
Starting number of boxes = > 100
Number of boxes sold = 25
Number of boxes left after selling 25
Let the number of boxes left = y
y = starting number of boxes - Numbe rof boxes sold
y = 100 - 25
y = 75
Since the starting number of boxes is more than 100
Then, y should also be more than 75
y > 75
x + y = 2
2x+ 7y = 9
Answer:
x=1 y=1
Step-by-step explanation:
(x + y = 2)×2
2x+ 7y = 9
2x + 2y = 4
2x+ 7y = 9
-5y =-5
y= 1
2x+7(1)=9
2x=2
x=1
44 is 25% of what
pls help they gave me these without teaching them
Answer:
176
Step-by-step explanation:
In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.
25% = 0.25
44/0.25 = 176
To check your work, simply take the answer and multiply it with the percentage.
176*0.25 = 44
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
the last answer D
6. The desks at Ryder Middle School are shaped like a rectangle with an area of square inches. The length of the desk is inches. Write an expression to represent the width of the desk.
Answer:
x squared + x + 2
Step-by-step explanation:
no.
What one transformation maps ABC to A''B''C''?
Answer: i dont know all i want is the points
Solve for the variable. (g + 6)/3 = 11
solve the variable:-[tex]\sf{\dfrac{(g+6)}{3}=11 }[/tex]
Answer:
[tex]\green{\boxed{g=27 }}[/tex]
Explanation::[tex]\longrightarrow \bold{\dfrac{(g+6)}{3}=11 }[/tex]
:[tex]\longrightarrow \bold{ g+6=11\times 3 }[/tex]
:[tex]\longrightarrow \bold{g+6=33 }[/tex]
:[tex]\longrightarrow \bold{ g=33-6 }[/tex]
:[tex]\dashrightarrow\bold{g=27 }[/tex]
27 is what percent of 1875
Answer:
506.25
Step-by-step explanation:
27% is writen as 27/100
27/100 of 1875 = 27/100 x 1875
therefore, 506.25 is the answer.
If you are using a calculator, simply enter 27÷100×1875 which will give you 506.25 as the answer.
Answer:
506.25
Step-by-step explanation:
d0: 27÷100×1875
[im s0rry if this is wr0ng i tried l0l]
What is the positive solution to 2x^2 - 4x - 30 = 0?
Answer:
x=-3 or x=5
Step-by-step explanation:
Which of the following phrases best summarizes Chapter 13 bankruptcy? a. discharge debt and keep property b. discharge debt and liquidate assets c. reorganize debt and keep property d. reorganize debt and liquidate assets
Answer:
c on edge
Step-by-step explanation:
The option that best summarizes bankruptcy is; C: reorganize debt and keep property
What is bankruptcy?Bankruptcy is simply defined as a legal proceeding involving a person or business that is unable to repay their outstanding debts.
Now, this question is taken from chapter 13 of the US Courts policy on filing bankruptcy. The chapter 13 of the Bankruptcy Code is one that provides for adjustment of debts of an individual with regular income and this allows a debtor to keep property and pay debts over time, usually three to five years.
Thus, option C is the correct option.
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Hummingbirds have unusually large hearts for their body size. If a person's heart were as
big as a hummingbird's, his or her heart would weigh as much as a large dog.
Information you will need:
An average hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875
ounces.
1 pound = 16 ounces
The average weight of a large dog is usually more than 80 pounds.
Leo weighs 192 pounds.
a.) How much would Leo's heart weigh if it were the same ratio as a hummingbird's?
Show your work on your paper.
b.) is the original claim true or false? Justify your reasoning here along with your answer.
Answer: 4.8lbs, This claim is false
Step-by-step explanation:
Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.
The ratio of heart to weight is given as,
Ratio = 0.00875 / 0.3524
Ratio = 0.024829
The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,
⇒ 0.024829 x 192 x 16
⇒ 76.28 ounces
Their heart weight of Leo is less than the weight of the dog. So, its claim is false.
More about the ratio and the proportion link is given below.
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if 10% of a group of children are girls, what is the ratio of girls to boys
Answer:
9 boys to 1 girl
Step-by-step explanation:
help please will give brainliest PLEASE
I accidentally chose that
Answer:
I think its the third one but i might be wrong
Step-by-step explanation:
Which congruence theorems or postulate could be given as reason why CDE ~= OPQ
Answer:
are congruent by ASA property
Step-by-step explanation:
AND TELL ME YOUR CLASS
Answer:
HA ASA AAS
Step-by-step explanation:
In rhombus CATS, CA= 6x-30. AT= 2x+30 find the perimeter? I need help ASAP PLEASE
Length of CA = 6x - 30
Length of AT = 2x + 30
We know that all sides of a rhombus are congruent.
Which means :
[tex] = 6x - 30 = 2x + 30[/tex]
[tex] = 6x - 30 - 2x = 30[/tex]
[tex] = 4x - 30 = 30[/tex]
[tex] = 4x = 30 + 30[/tex]
[tex] = 4x = 60[/tex]
[tex] = x = \frac{60}{4} [/tex]
[tex] = x = 15[/tex]
Thus, the value of x = 15
Then :
Measure of CA :
[tex] = 6x - 30[/tex]
[tex] = 6 \times 15 - 30[/tex]
[tex] = 90 - 30[/tex]
[tex] = 60[/tex]
Thus, measure of CA = 60
Measure of AT :
[tex] = 2x + 30[/tex]
[tex] = 2 \times 15 + 30[/tex]
[tex] = 30 + 30[/tex]
[tex] = 60[/tex]
Thus, measure of AT = 60
Perimefer of rhombus CAT :
[tex] = 4 \times side[/tex]
[tex] = 4 \times 60[/tex]
[tex] = \color{plum}240[/tex]
Therefore, the perimeter of rhombus CAT = 240
Someone help me on this math problem please!!
Answer: Jasmine hikes at a rate 0.5 miles per hour faster than Deandre (the third option).
Step-by-step explanation: Deandre hikes at a rate of 2.5 miles per hour, since the slope in the equation is 2.5. For Jasmin, the slope on the graph is 3 (since it goes up 3, over 1), which means she hikes at a rate of 3 miles per hour. 3 is 0.5 greater than 2.5, so Jasmin hikes at a rate that is 0.5 miles per hour faster than Deandre.
**On the graph, the blue line is Jasmin and the red line is Deandre.
The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship
Find the value of x and the value of y.
Select the two correct answers.
A y=56
B. x= 14
C. x=7
D. y=39
Ex= 9
F. y = 42
Answer: B. x= 14
D. y=39
Step-by-step explanation:
First and foremost, we need to calculate the constant of proportionality. This will be:
(8,12).
y = kx.
12 = 8k
k = 12/8
k = 1.5
(16, 24),
y = kx
24 = 16k
k = 24/16
k = 1.5
(x, 21),
y = kx
x = y/k
x = 21/1.5
x = 14
(26, y)
y = kx
y = 26 × 1.5
y = 39
4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buys
one-fifth of the amount of rice that Vanu buys.
(a) Find the total amount of rice that Hakim and Kevin buy altogether.
Tell whether each relationship is a function
Answer:
This is not a function
Step-by-step explanation:
There are multiple x coordinates so if you put this on a graph then try to do the vertical line test it will fail resulting in this not being a function.
Answer the following questions
Answer:
1. 432
2. 30
3. 1875
4. 250
Step-by-step explanation:
HELP ME PLEASEEEE
HELPPPPPPPPPPPP
Answer:
y / cos xStep-by-step explanation:
Use trigonometry to help
cos = adjacent side/hypotenusehypotenuse = adjacent side / cosSubstitute values:
Distance between the Sun and the Moon = y / cos xFind the missing sides using special right triangles
Answer:
The answers are;
m = 9, e = 9
Step-by-step explanation:
The question relates to right triangles with special properties;
The given parameters of the given right triangles are;
The measure of an interior angle of the triangle = 45°
The length of the given leg length of the triangle = (9·√2)/2
The length of the other leg length of the triangle = n
The length of the hypotenuse side = m
A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal
Therefore;
The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2
∴ n = (9·√2)/2
n = (e·√f)/g
Therefore, by comparison, we have;
e = 9, f = 2, and g = 2
By Pythagoras's theorem, we have;
m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9
m = 9.