35.001 is the closest of the 5 to 35.
We want to find the coeficient of the y terms when added together so find all the y terms
+12y and +2y
we add them together
12y+2y=(12+2)y=(14)y=14y
coeficient is 14
the constant is the number that is set already or the number that doesn't have it multiplied by a placeholder exg. 4 is a constnat but 4x is not so find the constants
+5 and +8
we add
5+8=13
the constant is 13
y coeficient=14
constant=14
The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
To know more about Potential Energy
brainly.com/question/24284560
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Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is 
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is 
.
Now the probability that both cards are diamonds is 
× = 
= 0.0588235 ≈ 0.05882
I’m pretty sure the angle in 53 degrees
