Answer:
![H_{n} = 30(0.8)^{n}](https://tex.z-dn.net/?f=H_%7Bn%7D%20%3D%2030%280.8%29%5E%7Bn%7D)
7 feet 10 inches
Step-by-step explanation:
A ball is falling from a height of 30 feet and then it bounces. After each bounce, the maximum height of the ball is 80% of the previous height.
So, after 1st bounce, the maximum height was (0.8 × 30) feet.
Similarly, after 2nd bounce, the maximum height was 0.8(0.8 × 30) feet.
In this way, the maximum height of the ball after nth bounce will be
So, after 6th bounce the maximum height will be
feet = 7 feet 10 inches (Appx.)
Answer:
He is 13 years old
Step-by-step explanation:
32-45=-13
the opposite of -13 is positive 13
(3x − 5) − (4x + 6)
Pretend that there is a 1 in front of the first bracket.
Pretend that there is a -1 in front of the second bracket.
Multiply the first bracket by 1
(1)(3x)=3x, (1)(-5)=-5
Multiply the second bracket by -1
(-1)(4)=-4, (-1)(6)=-6
3x-5-4x-6
3x-4x-5-6 ( combine like terms)
-x-11
Answer: -x-11 or -11-x
<span>(2x^2 y^4)3
= 2^3 x^6 y^12
= 8x^6y^12
hope it helps</span>
Answer:
Step-by-step explanation:
x^2-(2+2)x+4=0
or, x^2-2x-2x+4=0
or, x(x-2)-2(x-2)=0
or, (x-2)(x-2)=0
Now,
Either, x-2=0
=2
Or, x-2=0
=2