<span>3x</span>²<span> + 23x − 8 = 3x</span>² + 24x - x - 8 = 3x(x+8) - (x+8) = (x+8)(3x-1)
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
#SPJ1
Answer:
1. Should stay the same since you can't combine any further
2. 6x²-6x+16
The correct answer for this question is this one: "<span>147"</span>
Here's how to solve this problem.
Let <span>x = number of mystery books on the shelf </span>
<span>Let 3x = total number of books on the shelf </span>
<span>we are told that </span>
<span>x/5<10<x/4 </span>
<span>multiply by 20, </span>
<span>4x<200<5x </span>
<span>which means that </span>
<span>40<x<50 </span>
<span>So the number of mystery books can be any number between 41 and 49.
In other words, the possible total number of books could be three times the above numbers, 123, 126, 129,.... </span>
Choose the one that suits your answer choices.
Here are the following choices:
Which could be the number of books on the shelf?
A. 120 B 140 c 147 D 150
Let f be the function with variable n, which gives the number of pictures left in the phone after deleting pictures for n-days.
So f(1) gives the number of photos left after 1 day of deleting photos
f(2) gives the number of photos left after 2 days of deleting photos
and so on.
f(1)=745-20
f(2)=745-20-20=745-20*2
f(3)=745-20-20-20=745-20*3
so clearly f(n)=745-20n
Answer:
the algebraic expression is f(n)=745-20n,
where n is the n'th day of deleting photos, and f is the number of photos left after n days of deleting.
