There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.
There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.
Students in Grade 8 are more likely to be members of the band.
Answer:
Fully simplified it equals 4x^2 -21x -18
Explanation:
-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18
-You combine like terms to simplify and your answer is 4x^2 -21x -18
= 1/2kx2
U = potential energy of a spring at a certain position
k = the spring constant, specific to the spring, with units N/m.
x = distance the spring is stretched or compressed away from equilibrium
Potential Energy: Elastic Formula Questions:
1) A spring, which has a spring constant k = 7.50 N/m, has been stretched 0.40 m from its equilibrium position. What is the potential energy now stored in the spring?
Answer: The spring has been stretched x = 0.40 m from equilibrium. The potential energy can be found using the formula:
U = 1/2kx2
U = 1/2(7.50 N/m)(0.40 m)2
U = 0.60 N∙m
U = 0.60 J
So first you have to understand what consecutive numbers are.
Consecutive numbers are numbers like 4, 6, 8, 10, or 16, 18, 20.
So let's set up an equation, using x as the first consecutive number.
x + x + 2 + x + 4 = 102
Then simplify:
3x + 6 = 102
Subtract 6 from both sides.
3x = 96
Divide 3 on both sides:
x = 32
So the first number is 32, which means the other 2 numbers are 34, and 36.
To check our answer, let's put the numbers in the equation.
32 + 32 + 2 + 32 + 4 = 102
Yep! That's correct.
The answer is 32, 34, and 36.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
