Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.
Answer:
x = 9
Step-by-step explanation:
Create an equation:
x = some number
and = add
other number = -15
x + (-15) = -6
remove () using rule
x - 15 = -6
add +15 to both sides
x = 9
Answer:
its 21
Step-by-step explanation:
Solving the quadratic function, it is found that the particle returns to the ground after 7 seconds.
<h3>What is the quadratic function for the particle's height?</h3>
The particle's height after t seconds is modeled by the following equation:
s(t) = -16t² + v(0)t.
In which v(0) is the initial velocity of the particle, which in this problem is of 112 ft/s, hence:
s(t) = -16t² + 112t.
The particle hits the ground when s(t) = 0, hence:
s(t) = 0
-16t² + 112t = 0
-16t(t - 7) = 0.
Hence the non-trivial solution is:
t - 7 = 0 -> t = 7.
The particle returns to the ground after 7 seconds.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
Pefect Squares but Not Perfect Cubes: 256, 361
Both Perfect Squares and Perfect Cubes: 1, 64
Perfect Cubes but Not Perfect Squares: 125
Step-by-step explanation:
256=16^2 ; 361=19^2
1=1^2=1^3 ; 64=8^2=4^3
125=5^3
96=6*16 (Not squares nor cubes)
200=2*100 (Not squares nor cubes)
333=37*9 (Not squares nor cubes)
